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2 years ago

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Mathematics

1 answer:

Nuetrik [128]2 years ago

6 0

Answer:

x=18

Step-by-step explanation:

In this question we can use the Geometric mean of leg theorem

The theorem states that the hypotenuse/leg 2 = leg 2/part 2

In this problem, leg 2 is x+18, the hypotenuse is 72, and part 2 is x.

Plugging the given values in, we get

72/x+18=x+18/x

We can then simplify it.

(x+18)^2=72x

x^2+36x+324=72x

x^2-36x+324=0

That is equal to (x-18)^2

So, x=18

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Simplify this expression<br>

anastassius [24]

Answer:

$- \frac{1}{3} {x}^{4} - \frac{4}{7} {x}^{2} + \frac{16}{3}$

Step-by-step explanation:

add/subtract the terms with same power of variable

$( \frac{1}{6} {x}^{4} - \frac{1}{2} {x}^{4} ) + ( - \frac{ 3}{7} {x}^{2} - \frac{1}{7} {x}^{2} ) + (5 + \frac{1}{3} )$

8 0

3 years ago

Read 2 more answers

30 POINTS! Consider the system of linear equations and the matrix equations below.

fiasKO [112]

Answer:

Option C is correct.

Step-by-step explanation:

-x+3y=2

4x-2y=22

In matrix form is represented as:

$\left[\begin{array}{cc}-1&3\\4&-2\end{array}\right] \left[\begin{array}{c}x&y\end{array}\right] =\left[\begin{array}{c}2&22\end{array}\right]$

AX=B

$X = A^{-1}B$

$A^{-1} = |A|/Adj A$

|A| = (-1)(-2)-(3)(4)

|A| = 2-12

|A| = -10

Adj A = $\left[\begin{array}{cc}-2&-3\\-4&-1\end{array}\right]$

A^-1 = -1/10 $\left[\begin{array}{cc}-2&-3\\-4&-1\end{array}\right]$

A^-1 = 1/10 $\left[\begin{array}{cc}2&3\\4&1\end{array}\right]$

X= A^-1 B

X = 1/10 $\left[\begin{array}{cc}2&3\\4&1\end{array}\right]$ $\left[\begin{array}{c}2&22\end{array}\right]$

X=1/10 $X=1/10\left[\begin{array}{c}2*2+3*22\\4*2+1*22\end{array}\right]\\X=1/10\left[\begin{array}{c}4+66\\8+22\end{array}\right]\\X=1/10\left[\begin{array}{c}70\\30\end{array}\right]\\X=\left[\begin{array}{c}70/10\\30/10\end{array}\right]\\X=\left[\begin{array}{c}7\\3\end{array}\right]$