Answer:
ST = 4
Step-by-step explanation:
RS + ST = RT, substitute values
3x - 8 + x = 2x, that is
4x - 8 = 2x ( subtract 2x from both sides )
2x - 8 = 0 ( add 8 to both sides )
2x = 8 ( divide both sides by 2 )
x = 4
Thus ST = x = 4
Answer:
Formulas for a rectangular prism:
Volume of Rectangular Prism: V = lwh.
Surface Area of Rectangular Prism: S = 2(lw + lh + wh)
Space Diagonal of Rectangular Prism: (similar to the distance between 2 points) d = √(l2 + w2 + h2)
Step-by-step explanation:
Hope it helps :))))
A. 4x + 9 = 34
<u> - 9 - 9</u>
<u>4x</u> = <u>25</u>
4 4
x = 6.25
B. (x - 4)(x + 2) = 0
x - 4 = 0 U x + 2 = 0
<u> + 4 + 4</u> <u> - 2 - 2</u>
x = 4 x = -2
C. 2x² - 6x + 4 = 0
2(x²) - 2(3x) + 2(2) = 0
<u>2(x² - 3x + 2)</u> = <u>0</u>
2 2
x² - 3x + 2 = 0
x = <u>-(-3) +/- √((-3)² - 4(1)(2))</u>
2(1)
x = <u>3 +/- √(9 - 8)</u>
2
x = <u>3 +/- √(1)
</u> 2<u>
</u> x =<u> 3 +/- 1
</u> 2
x = <u>3 + 1</u> U x = <u>3 - 1</u>
2 2
x = <u>4</u> x = <u>2</u>
2 2
x = 2 x = 1
<u />
<em>f(x) equals 19 when x = 3</em>
<h2>
Explanation:</h2>
Here we have the following function:

And want to know the output of the function when the input is
. So let's substitute this x-values into the function:

Finally:
<em>f(x) equals 19 when x = 3</em>
<em></em>
<h2>Learn more:</h2>
Zeroes of a parabola: brainly.com/question/1469367
#LearnWithBrainly
Answer:
The answer is 1/1296
Step-by-step explanation:
6^-4 can be written as 1/6⁴
And
1/6⁴ = 1/1296
Hope this helps you.