Y=mx+b, where m is the slope and b is the y-intercept (the value of y when x=0)
We are told the slope is 4 so
y=4x+b, now using point (-7,-6) we can solve for the y-intercept...
-6=4(-7)+b
-6=-28+b
22=b so our line is:
y=4x+22
Answer:
Step-by-step explanation:
Let the point P is at the origin (0, 0).
Then the coordinates of A, B and C will be (8, 4), (-2, 2) and (4, -4) respectively.
Rule for the dilation of a point by a scale factor = k
(x, y) → (kx, ky)
If k = 
Then, A(8, 4) → A'(4, 2)
B(-2, 2) → B'(-1, 1)
C(4, -4) → C'(2, -2)
Now we can plot the new image with points A', B' and C'
Sn = a1 * (1 - r^n)
----------
1 - r
n = 5 so answer =
1 * (1 - (1/2)^5
--------------- = 31/16
1 - 1/2
Answer:
Benjamin then student wearing black t-shirt then the student wearing white then who wear blue then lucas then fatima
Step-by-step explanation:
where fatima is the first one then the others beside her one by one
Answer:
f(x)= -|x + 1| + 1
Step-by-step explanation:
This is an absolute value equation, because it's that v-shape that let's us know it will be one. The standard form is
f(x)= a|x - h| + k, where h is the horizontal shift, k is the vertical shift, and a is the dilation factor.
We know that the graph is moved up one, because its vertex is at y = 1. So k = 1.
f(x)= a|x - h| + 1
We also know that it must be negative, because it's upside-down, so <em>put the negative outside the absolute value, not inside.</em>
f(x)= -|x - h| + 1
Lastly, the horizontal shift is left one, so we know that h = -1.
f(x)= -|x - -1| + 1
x minus a negative one equals x plus one, so
<u>f(x)= -|x + 1| + 1 </u>is our final answer.
