Translated means the points are moving across the plane without rotating or changing shape. In this case, the x-coordinate would be moving up 5 (x + 5) and the y-coordinate would be moving to the left 4 (y - 4).
A is (-8, 6). A' is the result of the translation from this point. The results of the solution above in A is the point (-3, 2) = A'.
Now you must find the distance between these two coordinates. To find the distance you must use the distance formula: √<span>(x2 - x1)^2 + (y2 - y1)^2. Since you now have two points, A and A', plug these into the distance formula.
</span>√(-3 - (-8))^2 + (2 - 6)^2
√5^2 + (-4)^2
√25 + 16
√41
The distance from A to A' is √41.
Distributive property states a(b+c) = ab + ac
9(10 + x) = 90 + 9x
Your answer is B. 90 + 9x.
Answer: n=3
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
9n−10n=−3
9n+−10n=−3
(9n+−10n)=−3(Combine Like Terms)
−n=−3
−n=−3
Step 2: Divide both sides by -1.
-n/1 = -3/-1
n = 3
Answer:
4 or -4
Step-by-step explanation:
Y is directly proportional to x^2 means there is a constant, k, such that y=kx^2.
We are given y=8 when x=2. This information will allow us to find k in the equation y=kx^2.
8=k(2)^2
8=k(4)
This implies k=2 since 2(4)=8.
So the equation for any pair (x,y) is y=2x^2.
We want to find x when y=32.
32=2x^2
32/2=2x^2/2
16=x^2
This implies x=4 or -4.
Answer:
If it's: Find the value of the constant.
=
5
f
Step-by-step explanation:
