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kupik [55]
2 years ago
14

4.

Mathematics
2 answers:
valentinak56 [21]2 years ago
6 0

Answer:

A

Step-by-step explanation:

<u>Slope- intercept </u><u>form</u>

y= mx +c, where m is the slope and c is the y-intercept.

The given equation is in the slope-intercept form and hence we can easily identify its slope by looking at the coefficient of x.

y= 2x +7

slope= 2

Parallel lines have the same slope, thus the slope of the parallel line is also 2.

Substitute m= 2 into the general equation:

y= 2x +c

Substitute a pair of coordinates into the equation to find the value of c:

When x= 3, y= 11,

11= 2(3) +c

11= 6 +c

c= 11 -6

c= 5

Therefore the equation of the line is y= 2x +5.

Hatshy [7]2 years ago
5 0
I think it would be A: y=2x+5
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If Pentagon ABCDE was dilated to create Pentagon A'B'C'DE', what rule was used?
svetlana [45]

Answer:

<em>B</em> (x,y) \rightarrow \left(\frac{5}{2}x,\frac{5}{2}y\right)

Step-by-step explanation:

<u>Dilations</u>

Given a point A(x,y) and a scale factor k the dilated image of A, called A' is calculated as A'=(kx,ky), assuming the same scale factor is applied in both axes.

The pentagon ABCDE was dilated to create pentagon A'B'C'D'E'. To find the dilaton rule used, we must find two clear points where the coordinates of both axes can be easily read from the graph.

Point C(-2,0) maps to C'(-5,0). This gives us the scale factor for the x-axis of -5/(-2)= 5/2.

The y-coordinate of E is 2 and the y-coordinate of E' is 5. This gives us the same scale factor for the y-axis of 5/2.

Thus, the rule to dilate the pentagon is:

B \mathbf{(x,y) \rightarrow \left(\frac{5}{2}x,\frac{5}{2}y\right)}

5 0
3 years ago
Parallelogram PQRS is shown. m/S=(3x), m/R=120, and m/Q=(2y). Find the value of y.A.
fomenos

Option B. From the parallelogram PQRS the value of y is given to be 30

<h3>How to solve for the value of y from the parallelogram</h3>

In order to get the value of y we have to use the formula

2y + 120 = 80

where the value 120 is the angle that is stated as 120 from the question

2y = 180 - 120

2y = 60

y = 60 / 2

y = 30

Hence the value of y = 30

We can go ahead to get the value of x as well

3x + 120 = 180

take the like terms

3x = 180 - 120

3x = 60

divide through by 3 to get x

60 / 3 = x

20 = x

Read more on parallelograms here: brainly.com/question/24056495

#SPJ1

7 0
1 year ago
Natalie Jenny, Steve and Jatin paid $12 for their taxi. They shared this equally between them. What fraction did each pay?
algol [13]

Answer:

1/4

Step-by-step explanation:

12/4= 3

Each paid $3 but as a fraction 3/12=1/4

8 0
2 years ago
Read 2 more answers
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