Randolph is creating rectangle WXYZ so that WX has equation of y = 1/4x + 4. Segment XY must pass through the point (-2,6). Which of the following is the equation for XY?

Randolph Is Creating Rectangle WXYZ So That WX Has Equation Of Y = 1/4x + 4. Segment XY Must Pass Through

Answers

Answer 1

Answer:

A. y - 6 = ¼(x - (-2))

Step-by-step explanation:

Equation of a line can be represented in the point-slope form, y - b = m(x - a),

Where, (a, b) is a point that the line passes through, and m is the slope of the line.

The equation of line WX, is given in the slope-intercept form, y = mx + b. Which is y = ¼x + 4.

Thus, the slope (m) = ¼.

Since we know the value of m = ¼, and we have a point that the line runs through, (a, b) = (-2, 6), let's write the equation in point-slope form by substituting m = ¼, a = -2, and b = 6 into y - b = m(x - a).

We have:

y - 6 = ¼(x - (-2))

The answer is A

Answer 2

Answer:

Answer:y - 6 = - 4(x - (-2))

Step-by-step explanation:


Related Questions

The points (-2, 4) and (1,r) lie on a line with slope 3. Find the missing coordinate r.

Answers

Answer:

-9

Step-by-step explanation:

Slope = (y2 - y1)/(x2 - x1)

 (r - 11)/(4 - (-1)) = (r - 11)/5

So, (r - 11)/5 = -4

r - 11 = -20

r = -9

I dont know wht

way you are doing this but hope it helps

what is decending order​

Answers

Descending order is a list of numbers starting at the highest value going to the lowest. For example 10, 8, 5, 2, 1, -1, -4.

HELP PLEASE ITS MY LAST QUESTION!!
Jonathan and his band want to record and sell CDs. The recording studio charges an initial set-up fee of $250, and it charges $6.00 to burn each CD.
a) Define the variables:
Let n = _______

Let C = _______

Answers

Answer:

N=CD C=2-3 sentance

Step-by-step explanation:

what is the square root of 674 in simplest radical form

Answers

Answer: Here we answer "What is the square root of 674 (√674) in simplest radical form?"

The square root of 674 in its simplest form means to get the number 674 inside the radical √ as low as possible.

The square root of 674 is already in the simplest radical form. Therefore, the answer is:

√674

hope this helps.. Stay safe and have a great day/night!!! :D

The square root of 674 is expressed as √674 in the radical form.

What is square root?

A square root of a number is a value that, when multiplied by itself, gives the number.

Given that, what is the square root of 674 in the simplest radical form,

The square root of 674 is expressed as √674 in the radical form,

The square root of 674 rounded up to 7 decimal places is 25.9615100. It is the positive solution of the equation x² = 674.

Hence, the square root of 674 is expressed as √674 in the radical form.

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Examine the figure below.
B
(4x-16)
6756
(5x+7)
с
A
D
Determine which of the following angle measures are correct. Select all that apply.
OmZBAC = 72°
O
m2BCD = 68°
Om ACB = 112°
m2ABC = 68°
mzBCD=108°

Answers

*see attachment for diagram

Answer:

✔️m<BAC = 72°

✔️m<BCD = 108°

Step-by-step explanation:

Given:

m<ABC = (4x - 16)°

m<ACB = (5x + 7)°

Find the numerical value of m<ABC, m<ACB, m<BAC, and m<BCD.

First we need to determine the value of x.

The ∆ given is an isosceles triangle with two equal sides, therefore, the angles opposite the two equal sides would also be equal.

Therefore:

(4x - 16)° + 2(5x + 7)° = 180° (sum of ∆)

Solve for x

4x - 16 + 10x + 14 = 180

Add like terms

14x - 2 = 180

Add 2 to both sides

14x = 182

Divide both sides by 14

x = 13

Find the measure of each angle by plugging in the value of x where necessary:

✔️m<ABC = (4x - 16)° = 4(13) - 16

m<ABC = 36°

✔️m<ACB = (5x + 7)° = 5(13) + 7

m<ACB = 72°

✔️m<BAC = m<ACB (both are base angles of the isosceles ∆, so they are equal)

Therefore,

m<BAC = 72°

✔️m<BCD = m<ABC + m<ACB (exterior angle theorem of a triangle)

m<BCD = 36 + 72 (Substitution)

m<BCD = 108°

Therefore, the angle measures that are correct are:

✔️m<BAC = 72°

✔️m<BCD = 108°


Find the cube root of the fraction 27/512.
A 3/8
B -3/8
C Cannot be done

Answers

Answer:  can't be done

Step-by-step explanation:

Answer:

The principal, real, root of:

27−−√3

=3

All roots:

3

−1.5+2.59807621i

−1.5−2.59807621i

27 is a perfect cube

what is 149866.37636 rounded as a whole number​

Answers

Answer:

149866

Step-by-step explanation:

Hope this helps.

Answer:

149866.

This is because the '.3' part means that you do not have to round the '6' up.

A man left his waiter a $10 tip that was 20% of his bill. How much was the man's bill?​

Answers

Answer:

50

Step-by-step explanation:

Answer:

The bills total was 50$

Step-by-step explanation:

So 20% is equal to 10 dollars.In order to find out the total you need to reach 100% so 5 mulitplied by 20 is 100 so 10 multiplied by 5 is 50 therefore the bill was 50.

What is the value of 3/8 x - 4.5 when x =0.4

Answers

-3.5625 is you use pemdas

I NEED HELP ASAP DUE IN 3 MINUTES WHOEVER ANSWERS IT RIGHT GETS BRIANIST

Answers

Answer:

It is D.

Step-by-step explanation:

5(x+3)-3x^2 when x is -1.4

Answers

Answer:

The answer would be C.) 2.12

ASAP pls help me with this

Answers

Answer:

x = 20

Step-by-step explanation:

If A || B, then ∠2 should equal to ∠3 (Alternate angles).

3x - 10 = x + 30

Isolate like terms.

3x - x = 30 + 10

Evaluate like terms.

2x = 40

Find x.

x = 40 ÷ 2

x = 20

Answer:

x = 20.

Angles 2 and 3 are measured as 50 degrees.

Step-by-step explanation:

Angles 2 and 3 are congruent, meaning that they are equal.

Set the two equations equal to each other and solve for x.

3x-10=x+30 (subtract x from the left side and add 10 to the right. This gets the x's and the plain numbers on the same side of the equation)

2x=40 (Divide by 2)

x = 20

Check your work by plugging in 20 for x in each expression. If the two expressions are equal when you do so, then you know you've worked out the problem correctly.

Angle 2:

3(20)-10

60 - 10 = 50

Angle 3:

20 + 30 = 50

Both expressions equal 50 when plugging in 20 for x, so this is the correct answer.

Ian's monthly allowance is $21. In January he starts saving for a birthday gift in June. Each month he saves of his allowance. The gift he wants to buy costs $110. Will Ian have enough money? Explain.

Answers

Answer:

Ian will have enough money to buy the gift

Step-by-step explanation:

Step one:

given

monthly allowance= $21

from January to June= 6 months

total savings = 21*6= $126

cost of gift = $110

Step two:

Ian will have enough money to buy the gift

since he saved $126 which is greater than the cost of the gift of $110

he would have a balance of $16

Clue #1: The sum of the digits of a 3 digit number is 20. Clue #2: The tens digit is 2 less than the hundreds digit. Clue #3: The units digit is 12 less than the sum of the other two digits What is the 3 digit number, show or explain how you solved the problem. Help me! Please show work

Answers

Answer: The number is 974

Step-by-step explanation:

First, any 3 digit number can be written as:

N = a*100 + b*10 + c

Where a, b, and c are single-digit numbers.

a is the hundreds digit

b is the tens digit

c is the unit digit

We can write the clues as:

#1: a + b + c = 20

#2: b = a - 2

#3: c = a + b - 12

Then we have a system of equations:

a + b + c = 20

b = a - 2

c = a + b - 12

To solve this, we need to isolate one of the variables in one equation and then replace this in the other equations, we can see that b is already isolated in the second equation, then we can replace that in the first and third equations:

a + (a - 2) + c = 20

c = a + (a - 2) - 12

Now we can see that c is isolated in the second equation, then we can replace that in the first one to get:

a + (a - 2) + (a + (a - 2) - 12) = 20

Now we can solve this for a:

a + a - 2 + a + a -2 - 12 = 20

4*a - 16 = 20

4*a = 20 + 16

4*a = 36

a = 36/4 = 9

With this, we can find the values of b and c.

b = a - 2 = 9 - 2 = 7

c = a + b - 12 = 9 + 7 - 12 = 4

Then the 3-digit number is:

N = a*100 + b*10 + c = 9*100 + 7*10 + 4 = 974

N = 974

x-y=11 2x+ y=19 solve using elimanation

Answers

Answer:

the answer is  [tex]x=10,\:y=-1[/tex]

Step-by-step explanation:

Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations.

hope this helps :)

Please help! Me and my bestie are both stuck on this. . .

Use table to solve the inequality 2x<2

Answers

Answer:

x>1

Step-by-step explanation:

Answer:

-2, 0, 2, 4, 6  these are the answers for the boxes and they are in order. solution x<1

Step-by-step explanation:

if you look at the box you will see that it says x and 2x at the bottom. The x at the top is the same as the one at the bottom. So they want you to multiply the number in the row of x by the number below x I hope this helps

help please !

-3 + x/3 = 15

What is x?

Answers

Answer:

x = 54

Step-by-step explanation:

Simplify both sides of the equation. Add 3 to both sides.Multiply both sides by 3.

Answer:

x = 5

the correct answer is perpendicular I have not received

yes is 54 the correct answer

Which Equation represents a Non-Proportional relationship between X and Y?
A. y=x

B. y=7x

C. y= 2/3x -1

D. y=3x + 0

Answers

Answer: C

Step-by-step explanation:

proportional relationship will have an equation that goes through the origin (0,0)  

The equation for C will not go through the origin because it has a y-intercept of -1  and the line will be going through (0,-1) instead of (0,0).

All the other equations will be going through the origin because they have no y intercepts.

HELP ME PLZ I NEED TO GET THIS RIGHT

Answers

Answer:QR = 54

Step-by-step explanation:


please help!!
Find the slope of the line. Enter your answer as
a number, fraction, or undefined. Reduce to
lowest terms where necessary.

Answers

Answer:

m = undefined

General Formulas and Concepts:

Algebra I

Vertical Line Test - Tells us if a graph is a functionVertical Lines - slopes are undefined

Step-by-step explanation:

If the slope m was equal to 0, then it would be a horizontal line rather than a vertical line.

Using the Vertical Line Test, we also know that the graph is not a function.

Usually a vertical line has an undefined slope, as x equals a certain number, and m = unknown.

Answer: It's undefined, because it's vertical

The length of a rectangle is 3 meters longer than its width. If
the area of the rectangle is 40 square meters, what are the
dimensions?​

Answers

Answer:

Length=8 Width=5

Step-by-step explanation:

Set this up as a system of equations with l standing for length and w standing for width.

w+3=l

l×w=40

Substitute rhe first equation into the 2nd one.

w(w+3)=40 --------> w^2+3w=40

Move all the terms to the left side

w^2+3w-40=0

Factor

(w+8) (w-5)

Set both factors equal to 0.

w+8=0 -----> w=-8

w-5=0 ------> w=5

Since distance cannot be negative we can eliminate -8. So w=5

Plug it back into any one of the equations and solve for l.

5+3=l -----> 8=l

So the answer is the length is 8 and the width is 5.

The dimensions of the rectangle are:

Length = 8 meters.

width = 5meters.

We are given that the length of a rectangle is 3 meters longer than its width and the area of a rectangle is 40 square meters.

We need to find the length and width of the rectangle.

What is a rectangle?

A rectangle is a closed 2-dimensional shape that has two dimensions, the length, and the width. Length is the longer side and width is the shorter side of the rectangle.

The area of a rectangle is given by :

A = Length x Width.

Let the area, length, and width of the rectangle be A, L, and W.

The length of a rectangle is 3 meters longer than its width.

We can write it as,

L = 3 + W


The area of a rectangle is 40 square meters.

We can write it as,

A = 40 square meters

We can write it as,

L x W = 40

Substituting  L = 3 + W.

(3 + W) W = 40

[tex]3W + W^2 = 40\\W^2 + 3W = 40 \\W^2 + 3W - 40 = 0[/tex]

This is a quadratic equation and we will apply middle-term factorization.

[tex]W^2 + 3W - 40=0\\W^2 + (8-5)W - 40=0\\W^2 + 8W - 5W - 40=0\\W(W + 8) - 5 ( W + 8)=0\\(W+8)(W - 5)=0\\W+8 = 0~~and~~W-5=0\\W = -8~~and~~W=5[/tex]

The distance can not be negative so W = -8 is eliminated.

We have, W = 5

Substituting W = 5 in L = 3 + W.

We get,

L = 3 + 5 = 8

L = 8.

The dimensions of the given rectangle are:

Length = L = 8 meters.

Width = W = 5 meters.

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Solve x2 + 10x = 24 by completing the square. Which is the solution set of the equation?
O {-5 - 134,-5 + 34)
O {-5 -29, -5 + 29)
O {-12, 2)
O {-2, 12}
Plsss

Answers

{-2,12} -D because 12x divided by 24 is -2 and 10x plus 2x is 12

The value of x from the quadratic equation is x = { 2 , -12 }

What is Quadratic Equation?

A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

The roots of the quadratic equations are

x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )

where ( b² - 4ac ) is the discriminant

when ( b² - 4ac ) is positive, we get two real solutions

when discriminant is zero we get just one real solution (both answers are the same)

when discriminant is negative we get a pair of complex solutions

Given data ,

Let the quadratic equation be represented as A

Now , the value of A is

x² + 10x = 24   be equation (1)

Adding 5² on both sides of the equation , we get

x² + 10x + 25 = 24 + 25

( x + 5 )² = 49

Taking square roots on both sides , we get

x + 5 = ±7

Subtracting 5 on both sides , we get

x = 2

And , x = -12

Hence , the quadratic equation is solved and value of x is x = -12 or x = 2

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help me plzzzzzzzzzzzzzzzzz

Answers

Answer:

717,051

seven hundred seventeen thousand, fifty-one

Step-by-step explanation:

try putting 717,051 into it starting at the hundred thousands place so basically you would put in 7 and then go down one and put in 1 and so on

plz help me answer step by step 2+7/x=-12

Answers

Answer:

x = -1/2

Step-by-step explanation:

First, subtract 2 from both sides to get 7/x alone. Then muliply both sides by x to get rid of 7/x's denominator. Divide both sides by -14 to get rid of x's coefficient and to get x alone. You will then get -1/2 as your answer.

2 + 7/x = -12

-2             -2

7/x = -14

*x       *x

7 = -14x

÷-14    ÷-14

- 1/2 =x

x = -1/2

Plz help I’m getting timed

Answers

Answer:

38

Step-by-step explanation:

Answer:

38

Step-by-step explanation:

1-4 round down 5-10 round up

I’ll mark you brainlist I’ll mark you brainlist

Answers

Answer:

The rate of change is 0 because 0/1=0.

Step-by-step explanation:

hope this helps

1/2x + 3/4 x = 5 - 2.5x

Answers

Answer: I don't know if you wanted it to be solved or re-written but the answer is x=4/3 and re-written is 3x=4

Does the transformation represent a dilation? Why or
why not?
O no, because each vertex is not multiplied by the
same scale factor
O yes, because each vertex is multiplied by 4/3
O yes, because each vertex is multiplied by 2

Answers

Answer: A: no, because each vertex is not multiplied by the same scale factor.

Step-by-step explanation: got it right on Edge 2020!

Which expression can be simplified to find the slope of the trend line in the scatter plot?

D is 8-2
78-87

Answers

It can be simplified to B because it is in slope formula y-y over x-x hope this helps

(B) [tex]\frac{78-87}{8-2}[/tex]

The slope of the trend line:A linear relationship is depicted by a trend line. [tex]Y=mx+b[/tex], where [tex]x[/tex] is the independent variable, [tex]y[/tex] is the dependent variable, m is the slope of the line and [tex]b[/tex] is the y-intercept, is the equation for a linear relationship.Scatter plot -Data visualization that depicts the relationship between two numerical variables is known as a scatterplot. The values for the two variables are used to depict each member of the dataset as a point with [tex]x-y[/tex] coordinates that correspond to those values.

Therefore, (B) [tex]\frac{78-87}{8-2}[/tex] can be simplified to find the slope of the trend line in the scatter plot.

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If 3 pens cost $2, then how many can can you buy with $20

Answers

Answer:

30

Step-by-step explanation:

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