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Maru [420]
3 years ago
11

Find an equation in slope-intercept form of the line that has slope –9 and passes through point A(-9, - 1).

Mathematics
1 answer:
mojhsa [17]3 years ago
5 0

Answer:

Step-by-step explanation:

y + 1 = -9(x + 9)

y + 1 = -9x - 81

y = -9x - 82

answer is A

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7m + -10 =-10 what is m?
tigry1 [53]

Answer:

m = 0

Step-by-step explanation:

Given

7m + -10 = -10

Positive negative gives negative.

So the expression can be rewritten as

7m - 10 = -10

Add 10 to both sides of the equation

7m - 10 + 10 = -10 + 10

7m = 0

Divide both sides by 7

7m /7 = 0/7

m = 0

8 0
3 years ago
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The green triangle is a dilation of the red triangle with a scale factor of s=1/3 and the center of dilation is at the point (4,
klasskru [66]

Given:

The scale factor is s=\dfrac{1}{3} and the center of dilation is at the point (4,2).

Red is original figure and green is dilated figure.

To find:

The coordinates of point C' and point A.

Solution:

Rule of dilation: If a figure is dilated with a scale factor k and the center of dilation is at the point (a,b), then

(x,y)\to (k(x-a)+a,k(y-b)+b)

According to the given information, the scale factor is \dfrac{1}{3} and the center of dilation is at (4,2).

(x,y)\to (\dfrac{1}{3}(x-4)+4,\dfrac{1}{3}(y-2)+2)            ...(i)

Let us assume the vertices of red triangle are A(m,n), B(10,14) and C(-2,11).

Using (i), we get

C(-2,11)\to C'(\dfrac{1}{3}(-2-4)+4,\dfrac{1}{3}(11-2)+2)

C(-2,11)\to C'(\dfrac{1}{3}(-6)+4,\dfrac{1}{3}(9)+2)

C(-2,11)\to C'(-2+4,3+2)

C(-2,11)\to C'(2,5)

Therefore, the coordinates of Point C' are C'(2,5).

We assumed that point A is A(m,n).

Using (i), we get

A(m,n)\to A'(\dfrac{1}{3}(m-4)+4,\dfrac{1}{3}(n-2)+2)

From the given figure it is clear that the image of point A is (8,4).

A'(\dfrac{1}{3}(m-4)+4,\dfrac{1}{3}(n-2)+2)=A'(8,4)

On comparing both sides, we get

\dfrac{1}{3}(m-4)+4=8

\dfrac{1}{3}(m-4)=8-4

(m-4)=3(4)

m=12+4

m=16

And,

\dfrac{1}{3}(n-2)+2=4

\dfrac{1}{3}(n-2)=4-2

(n-2)=3(2)

n=6+2

n=8

Therefore, the coordinates of point A are (16,8).

5 0
3 years ago
What is y-1 =2(x +3) in standard form?
miv72 [106K]

Answer:

y-1=2(x+3)

y-1=2x+6

y=2x+6+1

y=2x+7

6 0
3 years ago
4 glue sticks cost $7.76 what equation would help determine the cost of 13 glue sticks
denis23 [38]
7.76/4 = 1.94x13=25.22
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How many centimeters are there in 12 yards?
aliya0001 [1]

Answer:

Answer is 1097.28 cm

Step-by-step explanation:

prove me wrong

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