Answer:
x = 65
Step-by-step explanation:
using the Altitude- on- Hypotenuse theorem
(leg of big Δ )² = (part of hypotenuse below it ) × (whole hypotenuse)
x² = 25 × 169 = 4225 ( take square root of both sides )
x =
= 65
Answer:
y = 2(x-3)^2 - 2
Step-by-step explanation:
y = 2x^2 - 12x + 16
y = 2(x^2 - 6x + 8)
y = 2(x^2 - 6x +8 +1 -1) you "complete the square" by bringing the last term (8) up to "half of the middle co-efficient squared". Middle co-efficient is -6, half is -3, squared is 9. To get from 8 to 9 you must add 1 (+1), but if you add 1 you must subtract 1 (-1) so that you don't change the overall value of inside the bracket
y = 2(x^2 - 6x +9) - 2 (bring the -1 outside of the brackets)
y = 2(x-3)^2 - 2
Answer:

Step-by-step explanation:
Given

Required
Find 

Express 32 as an exponent

By comparison:


So:

<span>Cylinder Volume = </span><span>π <span>• r² • height
</span></span><span>Cylinder Volume = 3.14 * 16^2 * 24
</span>Cylinder Volume =
<span>
<span>
<span>
19,292.</span></span></span> cubic meters
My answer is much too big for those choices.
So, I'm guessing that 16 meters is the diameter.
If that's the case, radius = 8 meters and
Cylinder Volume = 3.14 * 8^2 * 24
<span>Cylinder Volume = 3.14 * 64 * 24
</span>Cylinder Volume =
<span>
<span>
<span>
4,823.04
</span>
</span>
</span>
cubic meters
So answer is "c"
Answer:
y= 5 x= 2
Step-by-step explanation:
-3x+5y=2x+3y
5y=5x+3y
2y=5x