Equation of the line that passes through (2, 0) and is parallel and perpendicular to the line shown is y = - x + 5
What is perpendicular?
Two geometric objects are perpendicular in simple geometry if they intersect at a right angle. The perpendicular symbol,, can be used to graphically depict the condition of perpendicularity. It can be defined between two planes, two lines, or two planes and another line.
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = x - 3 ← is in slope intercept form
with slope m = 1
Given a line with slope m then the slope of a line perpendicular to it is
= - = - = - 1, thus
y = - x + c ← is the partial equation of line j
To find c substitute (2, 0) into the partial equation
0 = - 2 + c ⇒ c = 0 + 2 = 2
y = - x + 2 ← equation of line j
Parallel lines have equal slopes, thus
y = - x + c ← is the partial equation of line k
To find c substitute (- 1, 6) into the partial equation
6 = 1 + c ⇒ c = 6 - 1 = 5
y = - x + 5 ← equation of line k
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li can walk 2 miles in 45 minuets. At the rate,how far can she walk in 135
Answer:
6 miles
Step-by-step explanation:
Li can walk 6 miles if you divide 135 and 45 you'll get 3 finally if you multiply 2 and 3 you'll get 6 So in total Li walks 6 miles
Kora uses the following ingredients to make 111 s'more.
Ingredient Amount
Graham crackers 222
Chocolate squares 888
Marshmallows 333
How many s'mores can Kora make if she has 202020 graham cr
Answer:
the answer is 203463 I hope this will help you :)
Step-by-step explanation:
What is the vertex of the parabola? y+1=−1/4(x−2)2 Enter your answer in the boxes. ( , )
Answer: Just took the test the guy above me is correct correct
Step-by-step explanation:
Answer:
(2,-1)
Step-by-step explanation:
I took the test
x+6/4 + x-3/5 = 5x-4/8
Answer:
x = 7/15
Step-by-step explanation:
x + 6/4 + x - 3/5 = 5x - 4/8
x + x - 5x = -4/8 - 6/4 + 3/5
-3x = -2/4 - 6/4 + 3/5
-3x = -8/4 + 3/5
-3x = -2 + 3/5
-3x = -10/5 + 3/5
-3x = -7/5
x = (-7/5)/-3
x = -7/(5*-3)
x = -7/-15
x = 7/15
Check:
7/15 + 6/4 + 7/15 - 3/5 = 5(7/15) - 4/8
14/15 + 6/4 - 3/5 = 35/15 - 2/4
56/60 + 90/60 - 36/60 = 140/60 - 30/60
146/60 - 36/60 = 110/60
The two-column proof process uses the following type of logical reasoning Group of answer choices Abductive reasoning Inductive reasoning Deductive reasoning Memorized reasoning 2.Why do you think the proof process uses this type of reasoning?
Answer:
Deductive Reasoning
Step-by-step explanation:
a researcher conducts an experiment comparing two treatment conditions with 20 scores in each condition. if an independent-measures design is used, how many participants are needed for the study? if a repeated-measures design is used, how many participants are needed for the study? if a matched-subjects design is used, how many participants are needed for the study?
If a repeated-measures design is used n=20 participants are needed for the study
If a matched-subjects design is used n=40 participants are needed for the study
Repeated measures configuration is an exploration plan that includes numerous proportions of similar variables taken on something similar or matched subjects either under various circumstances or throughout two or additional time spans. For example, repeated measures are gathered in a longitudinal report in which change after some time is surveyed.
A matched subject design involves separate trial bunches for every specific treatment, yet depends on coordinating each subject in one gathering with an identical one in another. The thought behind this is that it decreases the possibility of a persuasive variable slanting the outcomes by invalidating them.
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I don't have a lot of time this is about to be overdue
What are the terms in the expression 2d + 7 + 5f?
2, 7, and 5
d and f
2 and 5
2d, 7, and 5f
Answer:
• d and f
Step-by-step explanation:
• take an example of;
→ ax + by + 1
a and b are coefficientsx and y are terms1 is a constant\(.\)
each side of a square is increasing at a rate of 4 cm/s. at what rate (in cm2/s) is the area of the square increasing when the area of the square is 49 cm2?
The area of the square increasing with 56 cm²/s
Area or A = x²
where x represents one side of the square
The rate at which each side is increasing or dx/dt = 4 cm/s.
The area of the square is 49cm²
A = x²
x = √A
x = √49 = 7
Each side of the square or x = 7cm
We are trying to find the rate the area is changing, so dA/dt
A=x²
Take the derivative of the area equation with respect to time
dA/dt= 2x * dx/dt
Now plug in the values given to solve for dA/dt: x = 7 cm and dx/dt= 4 cm/s
2 (7) * (4) = 56 cm²/s
Therefore, the area of the square increasing with 56 cm²/s
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Can someone help with these 2? number 8 and 9!
SOMEONE PLEASE HELP ME! I promise i will mark brainlest, but i need the right answer for this. help is much appreciated <3
Answer:
I say A or B but in favor A
Step-by-step explanation:
Use Distance Formula to find the distance between the two given points. A( -1 , 5 ) B ( -3,4)
Answer:
B
Step-by-step explanation:
HELP ME WITH THESE THREE QUESTIONS PLEASE (GIVING BRAINLIEST TO THE BEST ANSWER.) 50 points
The perimeter of the figure is 18 units. Complete the statements to find the side lengths.
1. Find the distance from A to B. Explain how you found this distance.
2. Add the distances of the vertical and horizontal segments. These are the distances from A to B, B to C, and C to D. Show how you found the total.
3. Use the perimeter to find the length of segment AD. This is the distance from A to D. Explain how you found your answer.
Answer:
are there any pictures?
Step-by-step explanation:
Jackie has two puppies. One weighs 5 9/16 pounds and the other weighs 6 1/4 pounds. Find the difference in their weights.
weights = pounds
Answer: Jackie has two puppies. One weighs 5 9/16 pounds and the other weighs 6 1/4 pounds. Find the difference in their weights.
Step-by-step explanation:
"DIFFERENCE" means to subtract their weights. We will subtract lesser amount from the greater amount to get our answer.
Also, we need to first make these mixed numbers into improper fractions by using the rule below:
If a number is given in this form:
We can do the operation below to make it improper fraction:
The bigger number is . So we subtract the other from this after changing to improper fraction.
and
Now, we subtract via doing LCM and get our answer: The difference in weight is 11/16 pounds
Please help me I'm stuck. I will give 30 points for this one. Given triangle ABC tilde triangle PQR and your scale factor Complete the hotspots for these similar triangles and show work
The value for the hotspots of the similar triangles ∆ABC and ∆PWR are:
(1). angle B = 68°
(2). PQ = 5cm
(3). BC = 19.5cm
(4). area of ∆PQR = 30cm²
What are similar trianglesSimilar triangles are two triangles that have the same shape, but not necessarily the same size. This means that corresponding angles of the two triangles are equal, and corresponding sides are in proportion.
(1). angle B = 180 - (22 + 90) {sum of interior angles of a triangle}
angle B = 68°
Given that the triangle ∆ABC is similar to the triangle ∆PQR.
(2). PQ/7.5cm = 12cm/18cm
PQ = (12cm × 7.5cm)/18cm {cross multiplication}
PQ = 5cm
(3). 13cm/BC = 12cm/18cm
BC = (13cm × 18cm)/12cm {cross multiplication}
BC = 19.5cm
(4). area of ∆PQR = 1/2 × 12cm × 5cm
area of ∆PQR = 6cm × 5cm
area of ∆PQR = 30cm²
Therefore, the value for the hotspots of the similar triangles ∆ABC and ∆PWR are:
(1). angle B = 68°
(2). PQ = 5cm
(3). BC = 19.5cm
(4). area of ∆PQR = 30cm²
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If UV = 6, VW = 3x - 20, and UW = 6x-38 find the value of x
Answer: x=8
Step-by-step explanation:
UV+VW=UW
6+3x-20=6x-38
-14+3x=6x-38
3x+24=6x
3x=24
x=8
Mike pays $285 in rent every week.
How much will he pay in rent for the entire year?
Answer:
14,820
Step-by-step explanation:
A year has 52 weeks. 285 x 52 = 14820
Answer:
$14820
Step-by-step explanation:
There are 52 weeks in a year. Therefore 285 x 52 = 14820
What are the coordinates of J A G when reflected over the line y=2?
We can start by plotting the triangle JAG and the line y = 2 to see how we can solve it:
We can see the line y = 2 (red line) over which we have to reflect the point J, A and G.
To do that we have to look at the distance of each point to the line.
This distance will be the distance at which the image point will be located, opposite to the the original point.
As y = 2 is an horizontal line, the distance is vertical and the x-coordinate of the original points and the images will remain equal. Only the y-coordinate will change.
We can sketch the procedure as:
Then, for example, poing G is 1 unit below y = 2, so its image G' will be one unit over the line y = 2, locating at (2,3).
Point J is 2 units above y = 2, so J' will be 2 units below y = 2.
Point A is 3 units above y = 2, so A' will be 3 untis below y = 2
We can plot the remaining points as:
The red triangle is the original triangle and the blue triangle is the image.
Answer:
The coordinates are J'=(1,0), A'=(3,-1) and G'=(2,3).
If you are purchasing a building for $8,000,000 and the bank lends you $6,400,000 the Loan to Value is $1,600,000 65% 80% 100%
To calculate the Loan to Value (LTV) ratio, we divide the loan amount by the purchase price of the property and express the result as a percentage. LTV = 80%
Given: Purchase price of the building: $8,000,000 Loan amount: $6,400,000 LTV = (Loan amount / Purchase price) * 100 LTV = ($6,400,000 / $8,000,000) * 100 LTV = 0.8 * 100 LTV = 80%
Therefore, the Loan to Value (LTV) ratio in this scenario is 80%. This means that the bank has provided a loan equivalent to 80% of the purchase price of the building.
The remaining 20% of the purchase price, which is $1,600,000 in this case, would be the down payment or equity contribution made by the borrower. Correct answer is 80%
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Given: A -3.75% grade meets a -2.85% grade at station 40+25 (VPI).
The EVC elevation 413.49 ft. The length is 600’. Calculate the full
(+00) stations on the curve.
As per the elevation the number of full (+00) stations on the curve is 66,666.
In our given scenario, the starting grade of the curve is -3.75%, and the ending grade is -2.85%. The negative sign indicates a downward slope. To calculate the full stations on the curve, we need to find the difference between the two grades.
The difference between the starting and ending grades can be calculated as follows:
Difference = Ending Grade - Starting Grade
Difference = -2.85% - (-3.75%)
Difference = -2.85% + 3.75%
Now, let's perform the calculation:
Difference = 0.90%
So, the difference between the starting and ending grades is 0.90%.
The rate of change of grade per station is the difference between the starting and ending grades.
Length of Curve = 600 feet
Rate of Change of Grade per Station = Difference
Now, let's calculate the number of full stations:
Number of Full Stations = Length of Curve / Rate of Change of Grade per Station
Number of Full Stations = 600 feet / 0.90%
To convert the rate of change of grade from a percentage to a decimal, we divide by 100:
Number of Full Stations = 600 feet / (0.90% / 100)
Number of Full Stations = 600 feet / (0.0090)
Calculating this expression gives us the number of full stations on the curve.
Number of Full Stations = 66,666.67
However, it is important to note that stationing is typically expressed as a whole number and not in decimals. Therefore, we round down the number of full stations to the nearest whole number, which gives us:
Number of Full Stations = 66,666 (rounded down)
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A student-athlete wants to sell hot dogs for a game. She has to pay a vendor fee of $3000 for the season & equipment will cost her $4500 for the season. Each hot dog sold will cost her $0.35. She anticipates selling 2000 hot dogs at the game.
To break even, what price should she charge for each hot dog?
To determine the price the student-athlete should charge for each hot dog to break even, we need to consider the total costs she incurs, including the vendor fee, equipment cost, and the cost per hot dog. By dividing the total costs by the anticipated number of hot dogs sold, we can find the price per hot dog that would allow her to break even.
The total costs for the student-athlete include the vendor fee of $3000 and the equipment cost of $4500, which sums up to $7500 for the season. Additionally, she incurs a cost of $0.35 per hot dog sold. With an anticipation of selling 2000 hot dogs, the total cost for the hot dogs would be 2000 x $0.35 = $700.
To break even, the total revenue from selling the hot dogs should cover the total costs. Therefore, the price per hot dog should be set in such a way that the revenue from selling 2000 hot dogs equals $7500. Dividing the total costs ($7500) by the number of hot dogs (2000), we find that the student-athlete should charge $3.75 per hot dog in order to break even. This price per hot dog would allow her to cover all her expenses and reach the break-even point.
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17. Algebraically determine the domain and the y -intercept of the function y=\log _{4}(2 x+1)-3 .
The domain of the function is `R` and the y-intercept is `(0, -3)`
Given, `y = log4(2x + 1) - 3`.
To determine the domain of the function,
we should look for all values of `x` that would make the given function undefined.
There are no real values of `x` that would make the function undefined.
Therefore, the domain of the function is all real numbers or `R`.
To determine the y-intercept, substitute `x = 0` in the given function.`
y = log4(2(0) + 1) - 3 = log4(1) - 3 = 0 - 3 = -3`
Therefore, the y-intercept of the function is `(0, -3)`.
Hence, the domain of the function is `R` and the y-intercept is `(0, -3)`.
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Peremetere- 18cm,length = 3cm
Find the breadth and give a copmlete ans
The breadth of the rectangle is 6 cm.
To find the breadth, we can use the formula for the perimeter of a rectangle:
Perimeter = 2 × (length + breadth)
Substituting the given values, we get:
18 cm = 2 × (3 cm + breadth)
Simplifying the right side of the equation, we get:
18 cm = 6 cm + 2 × breadth
Subtracting 6 cm from both sides of the equation, we get:
12 cm = 2 × breadth
Dividing both sides by 2, we get:
breadth = 6 cm
Therefore, the breadth of the rectangle is 6 cm.
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resolver por sustitucion
y=x+8
x+y=2
Answer:
x=-3, y=5. (-3, 5).
Step-by-step explanation:
y=x+8
x+y=2
---------
x+(x+8)=2
x+x+8=2
2x+8=2
2x=2-8
2x=-6
x=-6/2
x=-3
substitute x=-3,
----------------------
y=-3+8=5
Answer: (-3, 5).
Solve for x. I don't know how to do this. Please help.
The final exam test scores were: 62, 66, 71, 75, 75, 78, 81, 83, 84, 85, 85, 87, 89, 89, 91, 92, 93, 94, 95, 99. Find the percentile rank for a score of 85 on this test.
Using it's concept, the percentile rank for a score of 85 on this test is the 50th percentile.
What is the percentile of a measure?When a measure is in the xth percentile of a data-set, it is greater or equal than x% of the measures and lesser than (100 - x)%.
In this problem, there are 20 scores, and 85 corresponds to the 10th highest score, hence the percentile is given by:
p = 10/20 = 0.5 x 100% = 50th percentile.
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Compare the table and equation. x y 1 3 2 6 3 9 Equation: y = 4x Which representation has the greatest slope? (4 points) Group of answer choices The equation has the greatest slope. The table has the greatest slope. The table and equation have the same slope. Their slopes cannot be determined.
The representation with the greatest slope is the equation: y = 4x.
To determine which representation, either the table or the equation, has the greatest slope, we need to examine the relationship between the values of x and y in both cases.
Let's start by looking at the table:
x | y
1 | 3
2 | 6
3 | 9
In the table, we can see that as x increases by 1, y increases by 3. This means that for every 1 unit increase in x, there is a corresponding 3 unit increase in y. Therefore, the slope of the table representation can be calculated as:
Slope (table) = (Change in y) / (Change in x) = 3 / 1 = 3
Now let's consider the equation: y = 4x
In this equation, we can see that the coefficient of x is 4. The coefficient of x represents the slope of the equation. Therefore, the slope of the equation is 4.
Comparing the two slopes, we find that the slope of the equation (4) is greater than the slope of the table (3).
Thus, the representation with the greatest slope is the equation: y = 4x.
It's important to note that in this particular scenario, the equation is a simple linear relationship, and the slope is explicitly defined by the coefficient of x. However, in more complex situations, slopes may vary, and it may require additional analysis to determine the slope accurately.
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What is the world record for digits of pi memorized?.
The world record for memorizing and reciting the most digits of pi is held by Rajveer Meena from India. He recited 50,000 decimal places of pi in 2020, which is the current recognized world record.
Pi (π) is a mathematical constant that represents the ratio of a circle's circumference to its diameter. It is an irrational number, which means it cannot be expressed as a finite decimal or a fraction. The decimal representation of pi is non-repeating and goes on indefinitely without a pattern. The value of pi is approximately 3.14159, but it is commonly approximated as 3.14 for simplicity in mathematical calculations. However, the exact value of pi has been calculated to trillions of digits using various computational methods. The quest to calculate more digits of pi continues to this day, and the computation of pi serves as a benchmark for testing the performance of supercomputers and computational algorithms. The current record for calculating the most digits of pi is trillions of digits, achieved through the use of powerful computers and advanced algorithms.
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Approximate pi plus the square root of forty to the nearest hundredth.
To the nearest hundredth, pi + the square root of forty roughly equals 9.47. The best choice is B.
What does it mean to round a number to a particular place?Rounding a number to a particular value reduces the complexity of the number while increasing readability and accessibility.
When you round to a certain point, the exact digits are maintained on the left side of that point but are rounded or somewhat trimmed from the right.
The limit is set at five.
All right-sided values are made zero if the right-side digit to the digit where we must round off is less than or equal to five; otherwise, it is increased by one and the remaining right-side digits are made zero. If the digit to the right of the decimal point is 5, and there are just zeros or no values after it, we round up (raise by 1 as in 347500 to 34800). (Well there are many detailed rules of rounding)
The following can be used to represent the provided expression, "pi plus the square root of forty to the closest hundredth,"
π + √40
= 3.1416 + 6.3245
= 9.4661 ≈ 9.47
Value is therefore 9.47.
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Nate's age is six years more than twice Connor's age. If the sum of their ages is 24 find each age
Answer:
12
Step-by-step explanation:
nate's age=6
connor's age =6+6=12
Nate's age +connor's age =24
Nate's age=24÷3=8
connor's age=8+8=16
the sum of thier ages =24
With the equation 3z+3=2z+6
Answer:
z = -3
Step-by-step explanation:
Simplifying
3z + -3 = 2z + -6
Reorder the terms:
-3 + 3z = 2z + -6
Reorder the terms:
-3 + 3z = -6 + 2z
Solving
-3 + 3z = -6 + 2z
Solving for variable 'z'.
Move all terms containing z to the left, all other terms to the right.
Add '-2z' to each side of the equation.
-3 + 3z + -2z = -6 + 2z + -2z
Combine like terms: 3z + -2z = 1z
-3 + 1z = -6 + 2z + -2z
Combine like terms: 2z + -2z = 0
-3 + 1z = -6 + 0
-3 + 1z = -6
Add '3' to each side of the equation.
-3 + 3 + 1z = -6 + 3
Combine like terms: -3 + 3 = 0
0 + 1z = -6 + 3
1z = -6 + 3
Combine like terms: -6 + 3 = -3
1z = -3
Divide each side by '1'.
z = -3
Simplifying
z = -3
Answer:
=3z+3=2z+6
=3z-2z=6-3
=z=3
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