Answer:
The image is (-18,0)
Step-by-step explanation:
Here, we want to find the image of the given point after dilation by the given scale factor
Mathematically, given a point with the pre-image (x,y) going under the dilation of scale factor k, centered at the origin, the coordinates of the image will be;
(kx , ky)
Applying this in the given scenario, we have
(2(-9) , 2(0))
= (-18,0)
Answer:
7
Step-by-step explanation:
1) "x is 23 more than 3 times y" is the same thing as "x = 23 + 3y"
REMEMBER: when you see "is" replace is with an equals sign.
2) Solve for x with your new equation.
3) Plug 6 into the y ("y = 6")
x = 23 + 3 x 6... x = 23 + 18... x = 41
4) Plug in your variables, and evaluate.
(41 - 6)/5... 35/5... 7!
You need to use this formula:
([a]/[sinA])=([c]/[sinC])-I am going to use 'a' for the x, and 'c' for 16(square root of 3)
Now its just getting 'a' by itself.
([c] times [sinA])/([sinC])=[a]
[c]=16 square root of 3
sinA=sin(60)=(square root of 3)/2
sinC=sin(90)=1
Plug it in to get 24 for a, or x. Do the same to figure out y with the new sides.
The final y is:
8 square root of 3
Final answer is C.
Answer:
x = 4 or x = -4 is your answer
