What is the midpoint of the segment below (-1,2) and (7,3)
Answers
Given any two points (x1, y1) and (x2, y2), the coordinate of the midpoint, (xm, ym) is given by
\(x_m=\frac{x_{1+}x_2}{2}\)\(y_m=\frac{y_{1+}y_2}{2}\)In this case,
x1 = -1, y1=2
x2=7, y2=3
Therefore
\(x_m=\frac{-1+7_{}}{2}=\frac{6}{2}=3\)\(y_m=\frac{3+2_{}}{2}=\frac{5}{2}=2\frac{1}{2}\)\(\text{Hence the midpoint is (3, 2}\frac{1}{2})\)Related Questions
I'm not too sure on this one
Answers
find the ordered pair
Answers
The ordered pair that is a solution of the system is (-3, -3), the second option.
Which ordered pair is a solution of the system of inequalities?There are two ways of finding this.
You can use your graph and identify which of the given pointes lies in the region where the two shaded areas intersect.
Another way, is replacing the values of the coordinate points in both inequalities and checking that both are true when evaluated in the point.
Here we will use the graph, because you already had it (and you can see a more precise graph in the image at the end).
We can see that the region os solutions is on the left side of the graph, and the only point that lies on there is (-3, -3)
So that point is the solution.
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A negative number on the x-axis (-a, b) would move in what direction?
A positive number on the x-axis (+a, b) would move in what direction?
A negative number on the y-axis (a, -b) would move in what direction?
A positive number on the y-axis (a, +b) would move in what direction?
Please answer for points and brainliest!
Answers
a) A negative number on the x-axis (-a, b) would move in the left direction by one unit.
To find out why, check point (0, b) on the y-axis and point (-a, b) on the x-axis.
The distance between these two points is a unit, meaning that the point (-a, b) is one unit to the left of the point (0, b).
b) A positive number on the x-axis (+a, b) would move in the right direction by a unit.
Again, let's look at the point (0, b) on the y-axis and the point (+a, b) on the x-axis.
The distance between the two points is also one unit, which means the point (+a, b) is one unit to the right of the point (0, b).
c) A negative number on the y-axis (a, -b) would move in the downward direction by b units.
Assume that point (a, 0) is on the x-axis and point (a, -b) is on the y-axis. The distance between them is b units, which means that the point (a, -b) is b units below the point (a, 0).
d) A positive number on the y-axis (a, +b) would move in the upward direction by b units.
Also, check the point (a, 0) on the x-axis and point (a, +b) on the y-axis. The distance between these two points is b units, which means that the point (a, +b) is b units above the point (a, 0).
What is a number?A number is a mathematical term used to show the quantity or value of a thing. It can be depicted using numerals, symbols, or words.
Examples include 30, hundred, -8, 6x, "5", 0.67, etc.
Numbers can be Positive - numbers greater than zero, or negative - numbers less than zero.
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Help me thank y so much
Answers
The relation is:
(1, 2), (-3, 5), (6, 6), (-2, 0), (1, 2)
Is a function, because each element in the domain is mapped to a single element in the range.
Do the ordered pairs represent a function?A relation maps elements from one set, called the domain, into another set, called the range.
For example, the element x mapped into element y is written as (x, y).
Particularly, a relation is a function if each element from the domain is mapped into only one element of the range.
So, if we had two points like (2, 4) and (2, 5), then the relation is not a function (because the element 2 is mapped into two different elements of the range).
Here the relation is:
(1, 2), (-3, 5), (6, 6), (-2, 0), (1, 2)
So the input x = 1 appears twice, but both times is mapped to the same element, so this relation is a function.
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Annmarie spends1of her paycheck on rent,2on food, andon utilities. What fractional part of her paycheck does she have left for other expenses?Annmarie has of her paycheck left for other expenses.(Simplify your answer. Type an integer or a fraction.)
Answers
Annmarie spends= 1/2 rent
Annmarie spends= 1/5 food
Annmarie spends= 1/8 utilities
\(\frac{1}{2}+\frac{1}{5}+\frac{1}{8}=\frac{33}{40}\)she spends 33/40 in those 3 expenses
\(\frac{40}{40}-\frac{33}{40}=\frac{7}{40}\)she have have left for other expenses 7/40
hellpppppp asappppppp
Answers
Answer:
They are Similar (A)
Step-by-step explanation:
If you look at the points you can see that the shapes are the same
And get a new screen for your iPad
In a pair of vertical angles one
angle measures 46° and the
other is (2x+7)º. Determine the
value of x.
Answers
Answer:
19.5
Step-by-step explanation:
We are given the pair of angles are vertical angles, meaning they are congruent or equal. We can use this to set up an equation to solve for x...
46=2x+7
Subtract 7 from both sides
39=2x
Divide both sides by 2
x=19.5
factorise fully:
1) 2014² - 2013²
please explain and help
Answers
The rule of the “difference of two squares” says $$2014^2 - 2013^2 = (2014 +2013) * (2014 - 2013)$$
= (2014 +2013) * (2014 - 2013)
= 4027 * 1
= 4027
Decide if the situation involves permutations, combinations, or neither. 5 digit pin codes if no digit can be repeated?
Answers
The situation is a combination where 5 digit pin codes has no digit which can be repeated.
Assuming no five-digit number can begin with zero, there are 9 possible choices for the first digit. Then there are 10 possible choices for each of the remaining four digits. Therefore, you have 9 x 10 x 10 x 10 x 10 combinations, or 9 x 10^4, which is 90,000 different combinations.
Combinations are based entirely on grouping. Combinations can be used to determine how many different groups that can be created from the available items.
The techniques used to count the number of outcomes that can occur in different circumstances are permutation and combination. Combinations and permutations are also referred to as arrangements and selections, respectively.
Hence the technique used will be combination.
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what is the product of -5and -8
Answers
Answer:
40
Step-by-step explanation:
A negative times a negative is a positive, so -5 x -8= 40
A population has a mean of 300 and a standard deviation of 70. Suppose a sample of size 100 is selected and is used to estimate . Use z-table.
What is the probability that the sample mean will be within +/- 6 of the population mean (to 4 decimals)? (Round z value in intermediate calculations to 2 decimal places.)
Answers
Step-by-step explanation:
Sol
Given that ,
mean =300
standard deviation =a =70
n=100
ux=128
a ) within 6 =300 +/-6 : 294, 306
P(294' ' 306)
: P(-0.86 : Z ' 0.86)
: P(Z ' 0.86) - P(Z ' -0.86)
Using z table,
: 0.8051-0.1949
: 0.6102
Probability : 0.6102
a ) within 18 =300 18 : 294, 318
P(294' ' 306)
: P(Z ' 2.57) - P(Z ' -2.57)
Using z table,
:0.9949-0.0051
:0.9898
Probability =0.9898
Find the shaded area
Help please
Answers
Answer:
Area= 49\(\pi\) or 153.94 or 147 (Since Pi= 3)
Circumference= 14\(\pi\) or 43.98 or 42 (Since Pi= 3)
Step-by-step explanation:
\(A=\pi rx^{2}\)
\(C=2\pi r\)
If C is a right angle, then which point is the circumcenter?
Answers
Answer:
e
Step-by-step explanation:
E
Jessica picks tomatoes in her garden. She fills several bags. This line plot shows the weight of each bag
Answers
Given:
one of the heaviest bags weigh:
\(=\text{ 4}\frac{1}{2}\text{ lb}\)One of the lightest bag weigh:
\(=\text{ 3}\frac{1}{4}\text{ lb}\)Next, we take the difference in the weights:
\(\begin{gathered} =\text{ 4}\frac{1}{2}\text{ - 3}\frac{1}{4} \\ \text{= }\frac{9}{2}\text{ - }\frac{13}{4} \\ =\text{ }\frac{18-13}{4} \\ =\text{ }\frac{5}{4} \\ =\text{ 1}\frac{1}{4}\text{ lb} \end{gathered}\)Answer:
\(=\text{ 1}\frac{1}{4}\text{ lb}\)(A+B)^2
Giúp mình với ạ
Answers
Answer:
= a^2 + 2.a.b + b^2
See attached for the question
Answers
Check the picture below.
Answer:
∠ U = 12°
Step-by-step explanation:
the inscribed angle RST is half the measure of its intercepted arc RT , then
arc RT = 2 × ∠ RST = 2 × 30° = 60°
the secant- tangent angle U is equal to half the difference of its intercepted arcs, that is
∠ U = \(\frac{1}{2}\) ( RS - RT ) = \(\frac{1}{2}\) × (84 - 60)° = \(\frac{1}{2}\) × 24° = 12°
A human hair was measured to be 8.0•10-4 inch thick. A cat hair is measured to be 4.0•10^-1. How much greater is the thickness of the cat hair than the human hair? Writ this in standard form.
Whoever gets this right I will mark brainiest and 60 points!!
Answers
Answer:
500 times
Step-by-step explanation:
Divide the thickness of a cat hair by the thickness of a human hair.
4.0 × 10^-1 / 8.0 × 10^-4 =
= 0.5 × 10^3
= 500
500 times
luck is preparing food for his dog he mixes 3 cup of dry food and some cup of wet food he put all the food into 4 bowls he puts 5/4 cups into each bowl
Answers
To find the amount of wet food Luck mixed with the dry food, we can use the fact that he put 5/4 cups into each of the 4 bowls. Therefore, he used a total of 5/4 x 4 = 5 cups of wet food.
Thus, Luck mixed 3 cups of dry food and 5 cups of wet food to prepare the dog's meal.
)The mean voltage of a battery is 15 and S.D 0.2.Find the probability that four such batteries connected in series will have combined voltage of 60.8 or more volts
Answers
The probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.
To find the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts, we need to use the concept of the Central Limit Theorem.
In this case, we know that the mean voltage of a single battery is 15 volts and the standard deviation is 0.2 volts. When batteries are connected in series, their voltages add up.
The combined voltage of four batteries connected in series is the sum of their individual voltages. The mean of the combined voltage will be 4 times the mean of a single battery, which is 4 * 15 = 60 volts.
The standard deviation of the combined voltage will be the square root of the sum of the variances of the individual batteries. Since the batteries are connected in series, the variance of the combined voltage will be 4 times the variance of a single battery, which is 4 * (0.2)^2 = 0.16.
Now, we need to calculate the probability that the combined voltage of four batteries is 60.8 or more volts. We can use a standard normal distribution to calculate this probability.
First, we need to standardize the value of 60.8 using the formula:
Z = (X - μ) / σ
Where X is the value we want to standardize, μ is the mean, and σ is the standard deviation.
In this case, the standardized value is:
Z = (60.8 - 60) / sqrt(0.16)
Z = 0.8 / 0.4
Z = 2
Next, we can use a standard normal distribution table or calculator to find the probability associated with a Z-score of 2. The probability of obtaining a Z-score of 2 or more is approximately 0.0228.
Therefore, the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.
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The value of a coin in 2010 was $40. The value of the coin has increased in value at a rate of 16.9% annually.
What was the value of the coin in 2019?
Enter your answer in the box rounded to the nearest dollar.
Answers
The value of the coin in 2019 would be approximately $132.
To calculate the value of the coin in 2019, we need to consider the annual increase rate of 16.9% from 2010 to 2019. We can use the compound interest formula to find the final value.
Starting with the initial value of $40 in 2010, we can calculate the value in 2019 as follows:
Value in 2019 = Initial value * (1 + Rate)^n
where Rate is the annual increase rate and n is the number of years between 2010 and 2019.
Plugging in the values:
Value in 2019 = $40 * (1 + 0.169)^9
Value in 2019 ≈ $40 * 2.996
Value in 2019 ≈ $119.84
Rounding the value to the nearest dollar, we get approximately $120. Therefore, the value of the coin in 2019 would be approximately $120.
However, please note that the exact value may vary depending on the specific compounding method and rounding conventions used.
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PLEASE HELP!!!
Thanks so much
Answers
Answer:
I didn't wrote on the paper but
6 and 18 are corresponding angles. Im sorry i forgot about it.
How do you make a mixed fraction and write it out as a improper fraction?
Answers
Answer:
1) Multiply the whole number part by the fraction's denominator.
2) Add that to the numerator.
3) Then write the result on top of the denominator.
Step-by-step explanation:
Hope this helps!
Answer:
Explanation
|
Step-by-step explanation:
you you multiply the whole number by the denominator and then add the numerator to that number.
Solve and graph.
3<4-2x<6
Answers
Answer:
X ( - 1, 1/2)
Step-by-step explanation:
4 - 2x > 3
4 - 2x < 6
Then solve the inquality for x
X< 1/2
X > - 1
Then u get the answer x ( - 1, 1/2)
Note: [ 1/2 is 1 over 2]
Step-by-step explanation:
3<4-2x 4-2x<6
-1<-2x -2x<2
1/2>x x>-1
x<1/2
the graph shown in pic
i need help asap
than you!
Answers
The highest height for the daily rainfall were for 5 and 6 inches
How to Interpret Dot Plots?Dot plots are used to present data in the form of points or small circles. It is similar to a simplified histogram or bar graph in that the height of the bar made up of points represents the numerical value of each variable. Dot plots are used to represent small amounts of data.
From the given dot plot, we see the number of times for each height of rainfall.
Thus, we see that the highest number of times of rainfall height was from that of 5 and 6 inches.
Thus, we conclude those were the highest heights for the daily rainfall.
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Which expression is equivalent to x+y+x+y+3(y+5)
Answers
Answer:
2x + 5y + 15
Step-by-step explanation:
add like terms
(x+x) + (y+y)+3y+15
2x+2y+3y+15
2x + 5y + 15
i hope this helps!
The area of a square garden is 36 yd? How long is each side of the
garden?
Answers
Answer:
6 yd
Step-by-step explanation:
Step 1:
All sides of a square are equal
Step 2:
36 ÷ 6
Answer:
6 yd
Hope This Helps :)
Hi can someone may help me with this problem I'm struggling with
ASSP
Answers
Answer:
see attached
cost = 33
Step-by-step explanation:
Kruskal's Algorithm is a "greedy" algorithm that adds the next minimum-weight edge to the tree, provided that it does not create a loop.
__
The minimum-weight edge in the graph is DF, with weight 1.
The next minimum-weight edge is GH, with weight 2.
The next minimum-weight edge is AB, with weight 3.
The next minimum-weight edge is EF, with weight 4.
Edge DE is the next lowest-weight, but it creates a loop (DEF), so we ignore it.
BC is the next edge we'll add to our tree.
FG is the next edge we'll add to the tree.
Edge DG creates a loop, so we ignore it.
Edge FH creates a loop, so we ignore it.
CF is the next edge we'll add to the tree. This completes the minimum spanning tree using Kruskal's Algorithm.
Included edges are AB, BC, CF, DF, EF, GF, GH.
The cost of the tree is 3+6+10+1+4+7+2 = 33.
hey can anyone help find the missing measurement pls
Answers
Answer:
? ≈ 6.5 yd
Step-by-step explanation:
the area (A) of a triangle is calculated as
A = \(\frac{1}{2}\) bh ( b is the base and h the perpendicular height )
here A = 13.3 and h = 4.1 , then
\(\frac{1}{2}\) × 4.1b = 13.3 ( multiply both sides by 2 to clear the fraction )
4.1b = 26.6 ( divide both sides by 4.1 )
b = ? ≈ 6.5 yd ( to the nearest tenth )
Sam has a deck that is shaped like a triangle with a base of 18 feet and a height of 7 feet. He plans to build a 2:5 scaled version of the deck next to his horse's water trough.
Part A: What are the dimensions of the new deck, in feet? Show every step of your work. (4 points)
Part B: What is the area of the original deck and the new deck, in square feet? Show every step of your work. (4 points)
Part C: Compare the ratio of the areas to the scale factor. Show every step of your work. (4 points)
Answers
The 2 : 5 scaled version of the deck Sam plans to build and the dimensions of the original deck indicates;
Part A; Base length of the new deck = 7.2 feet
Height of the new deck = 2.8 feet
Part B; The area of the original deck is 63 square feet
The area of the new deck is 10.08 square feet
Part C; The ratio of the areas is the square of the scale factor
What is a scale factor?A scale factor is a number or factor that is used to enlarge or reduce the dimensions a shape or size of a figure.
The base length of the triangular deck = 18 feet
The height of the triangular deck = 7 feet
The scale factor for the scaled version Sam intends to build = 2 : 5
Part A; The dimensions of the new deck are;
Base length of the new deck using the the 2 : 5 ratio is; (2/5) × 18 = 7.2 feet
The height of the new deck = (2/5) × 7 = 2.8 feet
Part B; The area of the original deck = (1/2) × 18 × 7 = 63 square feet
Area of the new dec = (1/2) × 7.2 × 2.8 = 10.08 square feet
Part C; The ratio of the areas is; 10.08/63
Ratio of the area = 10.08/63 = 4/25 = 4 : 25
The scale factor is; 2 : 5
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One week Megan earned 162.00 at his Job when be worked for 9 hours if he is paid the same hourly wage,how much would he make the next week if he worked 19 hours
Answers
Hence, the amount he make the next week if he worked \(19\) hours is $\(342\).
What is the equation?
The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
Here given that,
One week Megan earned \(162.00\) at his Job when be worked for \(9\) hours if he is paid the same hourly wage.
Firslty we find out for the \(1\) hour
i.e.,
\(\frac{162.00}{9}=18\)$
Now we have \(19\) hours so it would be
\(19(18)=342\)$
So he gets \(342\)$ by working in \(19\)hours.
Hence, the amount he make the next week if he worked \(19\) hours is $\(342\).
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