X = 10
The triangles are similar by SAS, so we can set up a proportion of their sides.
9/(33-9) = 12/(3x+2)
9/24 = 12/3x+2
Reduce
3/8 = 12/3x+2
Cross multiply
3(3x+2) = 12*8
Distribute and multiply
9x + 6 = 96
Subtract 6
9x = 90
Divide by 9
x = 10
Check:
9/24 = 12/3x+2
9/24 = 12/3*10 + 2
9/24 = 12/30 + 2
9/24 = 12/32
3/8 = 3/8 :)
Answer:
230
Step-by-step explanation:
use the multiplication property, it doesn't matter what wa ugh you do it because multiplication is on both sides
Answer:
g(x) = ![2(\sqrt[3]{x})](https://tex.z-dn.net/?f=2%28%5Csqrt%5B3%5D%7Bx%7D%29)
Step-by-step explanation:
Parent function given in the graph attached is,
f(x) = ![\sqrt[3]{x}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%7D)
Function 'f' passes through a point (1, 1).
If the parent function is stretched vertically by 'k' unit,
Transformed function will be,
g(x) = k.f(x)
Therefore, the image of the parent function will be,
g(x) = ![k(\sqrt[3]{x})](https://tex.z-dn.net/?f=k%28%5Csqrt%5B3%5D%7Bx%7D%29)
Since, the given function passes through (1, 2)
g(1) = ![k(\sqrt[3]{1})](https://tex.z-dn.net/?f=k%28%5Csqrt%5B3%5D%7B1%7D%29)
= 2
⇒ k = 2
Therefore, image of the function 'f' will be,
g(x) =
1.5, 2
When reflecting across the y-axis, the y in (x, y) stays the same but the x's sign is changed to the opposite.
Answer:
C =37.68 mm
Step-by-step explanation:
The circumference of a circle is given by
C = 2*pi*r
C = 2(3.14)*6
C =37.68 mm
