Answer:
To find how much money Chase will get in a certain amount of years, set up the following equation:
(7440.93*0.0123)*x = y
Plug in x. "x" stands for how many years Chase keeps the money in his account while earning interest.
Keep "y" unknown, as that stands for what you are trying to solve for, which is how much interest money Chase will make.
Given the points (-2, 6) and (0, -7) find the slope.
Answer:
-13/2
or
-6.5
Step-by-step explanation:
yeah-ya.......... right?
Find the value of x.
4
X
25
10
x = [?]
Answer:
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
10/4 x 25/x
Cross multiply and it will give you 100/10x
Divide and get 10
yea so like anyone know this
Answer:
=13p+7
Step-by-step explanation:
Let's simplify step-by-step.
5p+11+8p−4
=5p+11+8p+−4
Combine Like Terms:
=5p+11+8p+−4
=(5p+8p)+(11+−4)
=13p+7
Answer:
D
Step-by-step explanation:
if i am not mistaken you would add the common multiples with each other which would be 5p+8p and 11+(-4) which would equal 13p+7. I'm sorry if I'm incorrect
please help im having a really hard time in math i could use some help
Answer:
answer a
Step-by-step explanation:
im pretty sure its this one, i used desmos graphing calculator- it's a really helpful tool and i would recommend using it if you're having a bit of a hard time!
2x+5y=16
x-8y=-13
What is the
x
-value of the solution to the system of equations?
Here we have been given with two equations and we have to calculate the values of x and y. So we would be using elimination method.
2x + 5y = 16 (Equation No 1)x - 8y = -13 (Equation No 2)★ From Equation No 2:-
>> x - 8y = -13
>> x = 8y - 13
★ In Equation No 1:-
Substituting the value of x which we got above as (8y - 13) here.
>> 2x + 5y = 16
>> 2 (8y - 13) + 5y = 16
>> 2 × (8y - 13) + 5y = 16
>> 16y - 26 + 5y = 16
>> 21y - 26 = 16
>> 21y = 26 + 16
>> 21y = 42
>> y = 42 / 21
>> y = 6 / 3
>> y = 2
★ Finding out value of x:-
>> x = 8y - 13
>> x = 8 (2) - 13
>> x = 16 - 13
>> x = 3
Decide whether the relation is a function:
{(-3, 7), (1, -8), (6, -6), (7-8), (12, 2)}
Answer:
It is a function
Step-by-step explanation:
A function is of the form:
\(\left[\begin{array}{c}x_1&x_2&x_3\\-&-&-\\x_n\end{array}\right]\) \(\left[\begin{array}{c}y_1&y_2&y_3\\-&-&-\\y_n\end{array}\right]\)
Where each of the x values must be distinct.
The x values are referred to as domain while the y values are called range.
Having said that, the given data can be represented as follows:
\(\left[\begin{array}{c}-3&1&6\\7&12\end{array}\right]\) ----------- \(\left[\begin{array}{c}7&-8&-6\\-8&2\end{array}\right]\)
From the representation above, none of the x values are repeated.
Hence, it is a function
What role do plants play in the nitrogen cycle?
Answer:
Plants absorb nitrates from nearby soils to create proteins. Fertilizer also helps because it makes the soil even richer, allowing for more nitrates, which means more proteins.
if you found any words about mathematics, tell me please
Answer:
geometry
Step-by-step explanation:
left side of paper
Draw a line representing the “rise” and a line representing the “run” of the line. State the slope of the line in the simplest form. PLZZ HELPP
2 Mabaso has R140, Thabo has R70 and Ally has R35. What is the ratio of the amount of money Mabaso has, to the amount of money Thabo has and to the amount of money Ally has? Write the ratios in simplest form. The price of a steel table is R750. On Black Friday the table could be bought for R600. Calculate the percentage discount? Show ALL your calculations. Convert 125 g to kilograms. (1 kg = 1 000 grams) A green grocer packs 12 apples in a plastic bag. Calculate the number of bags he w need if he has 285 apples. The scale of a map is 1 500 000. Determine the actual distance in km if measurement on the map is 23,7 cm. Hint: 1 km = 100 000 cm
The actual distance represented by 23.7 cm on the map is 355.5 km.
To find the ratio of the amount of money Mabaso has to the amount of money Thabo has and the amount of money Ally has, we can divide each amount by the smallest amount (which is R35) to simplify the ratio.
Mabaso has R140, Thabo has R70, and Ally has R35.
The ratio of Mabaso's money to Thabo's money is:
R140 ÷ R35 = 4
The ratio of Mabaso's money to Ally's money is:
R140 ÷ R35 = 4
Therefore, the ratio of the amount of money Mabaso has to the amount of money Thabo has and to the amount of money Ally has is 4:1:1.
To calculate the percentage discount of a steel table, we need to find the difference between the original price and the discounted price, and then divide it by the original price. Finally, we multiply the result by 100 to get the percentage.
Original price: R750
Discounted price: R600
Discount: R750 - R600 = R150
Percentage discount: (R150 ÷ R750) × 100 = 20%
So, the table has a 20% discount on Black Friday.
To convert 125 grams to kilograms, we divide the amount in grams by 1,000 (since there are 1,000 grams in a kilogram).
125 g ÷ 1,000 = 0.125 kg
Therefore, 125 grams is equal to 0.125 kilograms.
If a green grocer packs 12 apples in a plastic bag and has 285 apples, we divide the total number of apples by the number of apples per bag to determine the number of bags needed.
Number of bags needed: 285 apples ÷ 12 apples/bag = 23.75 bags
Since we can't have a fraction of a bag, we round up to the nearest whole number. Therefore, the green grocer would need 24 bags.
If the scale of a map is 1,500,000 and the measurement on the map is 23.7 cm, we can use the scale to determine the actual distance.
1 cm on the map represents 1,500,000 cm in reality.
23.7 cm on the map represents x cm in reality.
x = 23.7 cm × 1,500,000 cm = 35,550,000 cm
To convert cm to km, we divide by 100,000 (since there are 100,000 cm in a kilometer).
35,550,000 cm ÷ 100,000 = 355.5 km
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given sine of theta equals 8 over 17 and cosine of theta equals 15 over 17 comma which of the following can be proven using a pythagorean identity? 1 plus the quantity 8 over 17 end quantity squared equals the quantity 15 over 17 end quantity squared 1 plus the quantity 15 over 17 end quantity squared equals the quantity 8 over 17 end quantity squared the quantity 8 over 17 end quantity squared plus the quantity 15 over 17 end quantity squared equals 1
The correct answer is: the quantity 8 over 17 end quantity squared plus the quantity 15 over 17 end quantity squared equals 1
What is a Pythagorean identity?
The Pythagorean identity for sine and cosine states that for any angle θ,
sin²θ + cos²θ = 1
We can use the given values of sine and cosine to find the missing trigonometric function:
tan(θ) = sin(θ) / cos(θ) = (8/17) / (15/17) = 8/15
Now, we can use the Pythagorean identity to determine which of the given statements is true:
1 + (8/17)² = 1 + 64/289 = 353/289 ≠ (15/17)²
1 + (15/17)² = 1 + 225/289 = 514/289 ≠ (8/17)²
(8/17)² + (15/17)² = 64/289 + 225/289 = 1
Therefore, the statement that can be proven using the Pythagorean identity is:
(8/17)² + (15/17)² = 1
Hence, the correct answer is: the quantity 8 over 17 end quantity squared plus the quantity 15 over 17 end quantity squared equals 1
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7,3 and 13,8 find slope of the line that passes
(7,3) and (13,8)
The slope is the change in Y over the change in X:
Slope = (8 - 3) / (13 - 7) = 5/6
Answer: The slope is 5/6
Gravetter/Wallnau/Forzano, Essentials - Chapter 3 - End-of-chapter question 24 A sample yielded the following scores: 2, 3, 4, 4,5,5,5,6,6,7 n = 10 Assume that the scores are measurements of a discrete variable and find the median Median = ___Assume that the scores are measurements of a continuous variable and find the median by locating the precise midpoint of the distribution (Use two decimal places.) Median = ___
Answer:
Step-by-step explanation:
24. Gravetter/Wallnau/Forzano, Essentials - Chapter 3 - End-of-chapter question 24
A sample yielded the following scores:
2, 3, 4, 4, 5, 5, 5, 6, 6, 7
n= 10
Assume that the scores are measurements of a discrete variable and find the median.
Median =5Correct
Points:
1 / 1
Median = 5
To find the median for a set of numbers with an even quantity the two middle numbers are added together and divided by 2.
n=102+(n = 102+1)2
= 5th score + 6th score2
= 5 + 52
= 102=5
Assume that the scores are measurements of a continuous variable and find the median by locating the precise midpoint of the distribution. (Use two decimal places.)
Median = 4.83Correct
The median for the discrete variable is 5 and for continuous variable is 5.
What is median?Median in statistics is the middle value of a list of data when arranged in order. It is a measure of central tendency that separates the data into two halves: the upper half and the lower half.
Given that: scores = 2, 3, 4, 4, 5, 5, 5, 6, 6, 7
a) The scores are in ascending order; then the median which is the middle number will be:
median = (5th term + 6 term)/2
= (5+5)/2
= 10/2
= 5
b) Use the cumulative percentage table ;
X frequency cumulative frequency cumulative percentage
2 1 1 10%
3 1 2 20%
4 2 4 40%
5 3 7 70%
6 2 9 90%
7 1 10 100%
Fraction = the no. required to reach 50%/ no. in that interval
= 1/3
Since we have a total of 4 boxes when we reach the value of 4.5
The median of the continuous variable = 4.5 + (1/3)
= 4.833
≈ 5
Hence, the median for the discrete variable is 5 and for continuous variable is 5.
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160 O SHO) A person bought 6,852 Japanese you from Nepal Rastra Bank for Rs 6,320. find exchange rote between japanese yen and Nepali rupess.
The exchange rate between Japanese Yen and Nepali Rupees in this case is given by Rs 0.92 per Yen.
The exchange rate between Japanese Yen and Nepali Rupees is
1 JPY = 0.7184 NPR
Therefore, the exchange rate is 6,852 JPY = 6,320 NPR
Therefore, the exchange rate between Japanese Yen and Nepali Rupees is 0.7184 NPR per 1 JPY.
The exchange rate between Japanese Yen and Nepali Rupees is given by the following formula:
Exchange Rate = (Total Amount in Nepali Rupees/Total Number of Japanese Yen)
Exchange Rate = (Rs 6320/6852 Yens) = Rs 0.92 per Yen.
Therefore, the exchange rate between Japanese Yen and Nepali Rupees in this case is given by Rs 0.92 per Yen.
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have you seen or read about an example where data were presented on an issue, but the sample was not representative of the population from which it was drawn? if you can't recall a specific example, locate one using an internet search.
A specific example of a non-representative sample can be seen in the 2016 US presidential election.
The national polls indicated that Hilary Clinton had a lead in the polls, but Donald Trump went on to win the election. This is because the sample used in the polls was not representative of the population. The sample was disproportionately composed of college-educated individuals, when the actual electorate was more evenly balanced between college-educated and non-college-educated individuals. This caused the samples to be biased and not representative of the population.
For example, if we assume that the population is composed of 50% college-educated individuals and 50% non-college-educated individuals, then the sample should also be composed of 50% college-educated individuals and 50% non-college-educated individuals to be representative. If the sample is not composed of 50% college-educated individuals and 50% non-college-educated individuals, then the sample is not representative of the population.
This can be calculated by using the formula: (Number of College Educated Individuals in Sample/Total Sample Size) X 100.
For example, if the sample size is 100 and there are 75 college-educated individuals in the sample, then the sample is not representative of the population because (75/100) X 100 = 75%, which is not equal to the 50% of the population that is college-educated.
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Melvin's bank account has a balance of $9685.06. The previous balance was $6955.01. Melvin made
deposit of $2815.85 and withdrew $100.00. How much did he earn in interest?
$18.40
$16.20
O$18.04
O $14.20
Melvin earned interest of $14.20.
The compensation a lender or financial institution receives for lending out money is called interest. The percentage of a stockholder's ownership in a company that is also referred to as interest.
The current balance is the previous balance increased by the deposit and interest and decreased by the withdrawal. Let x be the interest.
$6,955.01 + $2,815.85 + x − $100.00=$9,685.06
Combine like terms
$9,670.86 + x = $9,685.06
Subtract $ 9,670.86 from both sides of the equation
x = $14.20
Hence, Melvin earned interest of $14.20.
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Hint 1
Choose the correct label for the point on the boxplot represented by the question mark
O 01
O Q3
OM
O min
Омах
QR
O Range
None of the above
Answer:
None of the above.
Step-by-step explanation:
The box plot given has an asterisk which represents an outlier in the data set plotted. This outlier is an extreme data set value which is obviously the maximum value in the data set.
The question mark can be regarded as the highest observation that doesn't take the outlier observation into consideration.
Therefore, none of the options given is the correct label for the point on the box plot represented by the question mark.
what is the inequality of this and step by step explanation please
The inequality graphed on the number line can be written as:
-3 ≤ x < 2
How to identify the inequality?Here we can see an inequality graphed on a number line, we can see that we start with a closed circle at x = -3
A closed circle means that x = -3 is a solution.
And we can see that it ends with an open circle at x = 2, the open circle means that the point is not a solution.
Then the inequality thati is shown in the number line is written as:
-3 ≤ x < 2
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Consider the polynomial
(4mn^2n - 2mn + 6) + (6mn^2 - 1) - (mn^2 - 2 + 9mn)
Combine all like terms and enter the coefficients for each term into the blanks below
Exponent Rule of algebra
New volume of cube
Please help me
Answer:
above me is maybe a yes or no
Step-by-step explanation:
brainlles to above me
HELP NEED ASAP!!! PLEASE HELP ME OUT
The value of x that will make both lines A and B to be parallel is: 20
How to solve Line transversal theorem?The line transversal theorem states that:
If two parallel lines are cut by a transversal line, then it means that the Alternate Exterior Angles are congruent.
Similarly, If two parallel lines are cut by a transversal, then the corresponding angles are congruent.
Now, we see that the two given angles will be corresponding angles using the line transversal theorem and as such they are congruent. thus:
3x + 20 = 80
3x = 80 - 20
3x = 60
x = 60/3
x = 20
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A) Find an equation for the line perpendicular to the tangent line to the curve y=x^3-4x+6 at the point (2,6)
-The equation is y=
b) What is the smallest slope on the curve? At what point on the curve does the curve have this slope?
-The smallest slope on the curve is
-The curve has the smallest slope at the point
c) Find equations for the tangent lines to the curve at the points where the slope of the curve is 8.
Answer:
f(x) = x³ - 4x + 6
f'(x) = 3x² - 4
a) f'(2) = 3(2²) - 4 = 12 - 4 = 8
6 = 8(2) + b
6 = 16 + b
b = -10
y = 8x - 10
b) 3x² - 4 = 0
3x² = 4, so x = ±2/√3 = ±(2/3)√3
= ±1.1547
f(-(2/3)√3) = 9.0792
f((2/3)√3) = 2.9208
c) 3x² - 4 = 8
3x² = 12
x² = 4, so x = ±2
f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6
6 = -2(8) + b
6 = -16 + b
b = 22
y = 8x + 22
f(2) = 6
y = 8x - 10
The equation perpendicular to the tangent is y = -1/8x + 25/4
-The smallest slope on the curve is 2.92
The curve has the smallest slope at the point (1.15, 2.92)
The equations at tangent points are y = 8x + 16 and y = 8x - 16
Finding the equation perpendicular to the tangentFrom the question, we have the following parameters that can be used in our computation:
y = x³ - 4x + 6
Differentiate
So, we have
f'(x) = 3x² - 4
The point is (2, 6)
So, we have
f'(2) = 3(2)² - 4
f'(2) = 8
The slope of the perpendicular line is
Slope = -1/8
So, we have
y = -1/8(x - 2) + 6
y = -1/8x + 25/4
The smallest slope on the curveWe have
f'(x) = 3x² - 4
Set to 0
3x² - 4 = 0
Solve for x
x = √[4/3]
x = 1.15
So, we have
Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6
Smallest slope = 2.92
So, the smallest slope is 2.92 at (1.15, 2.92)
The equation of the tangent lineHere, we set f'(x) to 8
3x² - 4 = 8
Solve for x
x = ±2
Calculate y at x = ±2
y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)
y = (2)³ - 4(2) + 6 = 6: (2, 0)
The equations at these points are
y = 8x + 16
y = 8x - 16
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In a large population, 58 % of the people have been vaccinated. If 5 people are randomly selected, what is the probability that AT LEAST ONE of them has been vaccinated?
Therefore, the probability that AT LEAST ONE of them has been vaccinated is 0.98693
If 58% = 58÷100 of the people have been vaccinated, then;
1 - (58/100) = 42% = 42÷100 of the people who have not been vaccinated.
Now:
Probability, P( > 1 ), that at least one of the selected four has been vaccinated is given by;
P( > 1 ) = 1 - P(0) -----------(1)
Where;
P(0) = probability that all of the four have not been vaccinated.
P(0) = P(1) x P(2) x P(3) x P(4)×p(5)
Where;
P(1) = Probability that the first out of the four has not been vaccinated
P(2) = Probability that the second out of the four has not been vaccinated
P(3) = Probability that the third out of the four has not been vaccinated
P(4) = Probability that the fourth out of the four has not been vaccinated
P(5)=Probability that the fifth out of the five has not been vaccinated
Remember that 42÷100 of the population has not been vaccinated. Therefore,
P(1) = 42÷100
P(2) = 42÷100
P(3) = 42÷100
P(4) = 42÷100
P(5)=42÷100
P(0) = (42÷100) x (42÷100) x (42÷100) x (42÷100)×(42÷100)
P(0) = (42÷100)⁵
P(0) = (0.42)⁵
P(0) = 0.013067
Therefore, from equation (1);
P( > 1 ) = 1 -0.013067
P( > 1 ) = 0.98693
Therefore, the probability that AT LEAST ONE of them has been vaccinated is 0.98693
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see picture.. see picture..
Check the picture below.
Ellen read a book a day for 10 weeks. How many books did
she read in all?
1 week = 7 days
10 weeks = 10×7 days
= 70 days
if Ellen reads 1 book in a day
Therefore,
1 day = 1 book
70 days = 70×1
= 70 books.
Thus Ellen reads 70 books in 10 weeks.
Hope helps
Answer:
70 books
Step-by-step explanation:
Ellen reads one book per day for 10 weeks.
All we need to do to know the number of books Ellen read overall is to multiply 1 (number of books he read each day) and 10 weeks (total number of days).
Each week is 7 days, so 10 weeks is equal to 70 days.
The equation will be: 1 x 70
We can conclude that Ellen read 70 books overall within 10 weeks.
a) (4pt) what are the values of the following statistics / parameters (if you know them)? how did you calculate each value (explain with formulas or specific calculator commands used)? and/or . (note: some of these will not be applicable to your question)
The formula for the standard deviation is:
Standard deviation = √[(Σ(x - mean)²) / (Total number of values)]
We need more information about the specific statistics or parameters you are referring to.
However, I can provide a general guideline for calculating some common statistics:
1. Mean (average): To calculate the mean, add up all the values in a dataset and then divide the sum by the total number of values. The formula for the mean is:
Mean = (Sum of all values) / (Total number of values)
2. Median: To find the median, first arrange the values in ascending order.
If there is an odd number of values, the median is the middle value.
If there is an even number of values, the median is the average of the two middle values.
3. Mode: The mode is the value that occurs most frequently in a dataset.
To find the mode, count how many times each value appears and identify the value with the highest frequency.
4. Standard deviation:
The standard deviation is a measure of how spread out the values are in a dataset.
To calculate the standard deviation, first find the mean, then subtract the mean from each value and square the result. Next, find the mean of these squared differences.
Finally, take the square root of this mean.
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In each of the following graphs, find the lengths of the line segments shown. Write your answers (in simplest
radical form if they are not integers.
(a)
B
(b)
Q
The length of the two segments, written as radicals, are:
AB = √117
PQ = √244
How to find the length of the segments shown?Remember that for a segment whose endpoints are (x₁, y₁) and (x₂, y₂), the length of the segment is:
L = √( (x₂ - x₁)² + (y₂ - y₁)²)
First, for the segment AB the endpoints are:
A = (-4, -4)
B = (2, 5)
Then the length is:
L = √( (-4 - 2)² + (-4 - 5)²)
L = √117
For the segment PQ the endpoints are:
P = (-6, 8)
Q = (6, -2)
The length is:
L = √( (-6 - 6)² + (8 + 2)²)
L = √244
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Write and solve a system of equations for each of the following problems. You must write two questions for each problem, thank you
1. Ella is a landscape photographer. She sells small prints for $50 each, and large prints for $75
each. One weekend she sold a total of 52 prints for a total of $2975. How many of each size print did
Ella sell?
2. At a hot air balloon festival, Georges's balloon is at an altitude of 40 meters and rises at a rate of
10 meters per minute. William's balloon is at an altitude of 165 meters and descends at a rate of 15
meters per minute. In how many minutes will both balloons be at the same altitude? What is that
altitude?
The system of equations that satisfy the given problems is x + y = 52 and 50x + 75y = 2975, and the value of x = 15 and y= 37.
What is system of equations?A system of linear equations consists of two or more equations and looks for common answers.
1. Let us suppose small prints = x
Large prints = y
Total prints sold can be written as follows:
x + y = 52
The total cost of the prints can be written as follows:
50x + 75y = 2975
The system of equations is:
x + y = 52 . . . equation 1
50x + 75y = 2975 . . .equation 2
Using equation 1 we have:
x = 52 - y
Substituting the value of x in equation 2 we have:
50(52 - y) + 75y = 2975
2600 - 50y + 75y = 2975
25y = 2975 - 2600
25y = 375
y = 15
Now, substituting the value of y in equation 1 we have:
x + 15 = 52
x = 52 - 15
x = 37
Hence, the solution of the system of equations is y = 15 and x = 37.
2. Let us suppose the altitude = x.
The rising balloon can be thus written as:
40 +10x
The descending balloon can be written as:
165 - 15x
Solving the system of equations by substituting the value of x we get x= 5.
Hence, the altitude at which both the balloons are at the same height is 5m.
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hi i need help with this homework, can you help. thanks :)
The drawings, class of the polygons, perimeters and areas are presented as follows;
1. The polygon is a kite
Please find attached the drawing of the kite created with MS Excel
The perimeter is about 15.2 units
The area of the kite is 12 square units
3. The polygon is a scalene triangle
Please find attached the drawing of the scalene triangle created with MS Excel
The perimeter of the scalene triangle is about 15.2 units
The area of the triangle is 7 square units
4. The polygon is a rectangle
Please find attached the drawing of the rectangle created with MS Excel
The perimeter of the rectangle is about 14.1 units
Area of the rectangle is 12 square units
What is a polygon?A polygon is a geometric figure with three or more straight sides forming a loop
1. Please find attached the drawing of the polygon created with MS Excel
The points on the quadrilateral are; (-2, 3), (3, 1), (-2, -1), (-3, 1)
The slope of the segment between (-2, 3), and (-3, 1) is (1 - 3)/(-3 - (-2)) = 2
Slope of the segment between (3, 1), (-2, -1) is (-1 - 1)/(-2 - 3) = 0.4
Slope of segment between (-3, 1) and (-2, -1), is (-1 - 1)/(-2 - (-3)) = -2
Slope of the segment between (-2, 3) and (3, 1) is (1 - 3)/(3 - (-2)) = -2/5 = -0.4
The length of the sides are;
Distance between (-2, 3) and (-3, 1) = √5
Distance between (-2, -1) and (-3, 1) = √5
Distance between (-2, -1) and (3, 1) = √(29)
Distance between (-2, -3 and (3, 1) = √(29)
The quadrilateral is a kiteThe perimeter of the figure is; √5 + √5 + √(29) + √(29) ≈ 15.2Area of the kite = (3 - (-3)) × 2 = 123. Please find attached the drawing of the polygon created with MS Excel
The points on the figure are;
E(-4, 1), F(-2, 3), G(-2, -4)
The length of the segments are;
Distance between (-4, 1), and (-2, 3) = 2·√2
Distance between (-2, -4), and (-2, 3) = 7
Distance between (-2, -4), and (-4, 1)= √(29)
The triangle is a scalene triangleThe perimeter of the triangle = 2·√2 + 7 + √(29) ≈ 15.2Area of the triangle = Area of the triangle = (1/2) × (3 - (-4)) × (-4 - (-2)) = 74. Please find attached the drawing of the polygon created with MS Excel
The points on the figure are;
T(1, -2), U(4, 1), V(2, 3), W(-1, 0)
Distance between T(1, -2), and U(4, 1) = 3·√2
Distance between U(4, 1), and V(2, 3) = 2·√2
Distance between V(2, 3) and W(-1, 0) = 3·√2
Distance between T(1, -2) and W(-1, 0) = 2·√2
The slope of the sides are;
Slope between T(1, -2), and U(4, 1) = 1
Slope between U(4, 1), and V(2, 3) = -1
Slope between V(2, 3) and W(-1, 0) = 1
Slope between T(1, -2) and W(-1, 0) = -1
Therefore;
The quadrilateral is a rectangleThe perimeter of the rectangle = 3·√2 + 2·√2 + 3·√2 + 2·√2 ≈ 14.1Area of the rectangle = 3·√2 × 2·√2 = 12Learn more on types of polygons here: https://brainly.com/question/525770
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Brainlieat is given for the right answer!
Answer:
x≤ 5 2/5
Step-by-step explanation:
You subtract 1 2/5 from both sides, leaving 5 2/5, and since it is less than or equal to, you have a solid dot going left.