Answer:
y= 5x+4
Step-by-step explanation:
find the slope 34-9/6-1 = 25/5 = 5
then use y-y1= m (x-x1)
y- 9 = 5(x-1)
y-9 = 5x -5
y = 5x +4
Answer:
Step-by-step explanation:
As the two figure are the image and pre-image of a dilation.
Considering the left sided triangle is original and right sided triangle ( smaller one) is the image.
As one of the sides of the left triangle (original figure) is 4 in. And the corresponding length of the side on the right triangle (image of the figure) is 2 in.
It means the image of the side (2 in) is obtained when the side (4 in) of the original object is dilated by a scale factor of 1/2. In other words, the side of the image (2 in) is obtained multiplying the side (4 in) of original figure by 1/2. i.e. 4/2 = 2 in
Lets determine the missing side of the right side triangle by the same rule.
As the original object has one of the sides is 5 in and the corresponding side of the image has x in. As the original figure is dilated by a scale factor of 1/2. so the missing side of x will be: x = 5/2 = 2.5
So, the value of x will be 2.5
Similarly, the original object has one of the sides with length (y + 1 in). As the As the original figure is dilated by a scale factor of 1/2. As the corresponding length of the side of the image triangle is 3 in.
so
y + 1 = 2(3) ∵ 3 in (image side) is multiplied by 2
y + 1 = 6
y = 6 - 1
y = 5
So, the value of y = 5
Therefore,
Answer: -4, 0, 2
Step-by-step explanation:
The graph intersects the x-axis at 
.
Step-by-step explanation:
x + y = 72
x - y = 40
x = y + 40
so, the first equation is then
y + 40 + y = 72
2y + 40 = 72
2y = 32
y = 16
x = y + 40 = 16 + 40 = 56
Answer:
C. y = 8x
Step-by-step explanation:
Using the slope formula, we can calculate the rate of Marisol's and Timothy's Machines.
Marisol:
Timothy:
Now that we know the rate of their machines, we need to choose a rate that is between 6 and 9. Therefore, the rate of Zorian's machine needs to be y = 8x.
