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3 years ago

Find the value of x. If necessary, round to the nearest tenth.

Mathematics

1 answer:

Ghella [55]3 years ago

5 0

Answer:

x = 10.3 in

Step-by-step explanation:

To find the value of a, use the area formula for a triangle. The formula is A = 1/2 *b*h. Here b = x and h= x. The formula becomes A = 1/2 *x². Substitute A = 53 and solve for x by using inverse operations.

A = 1/2x²

53 = 1/2x²

106 = x²

√106 = x

10.3 = x

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What value of x makes the vertical parts of the letter N parallel?<br> picture provided

tangare [24]

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$2x + 9 = 5x$

$5x = 2x + 9$

Subtract sides 2x

$- 2x + 5x = - 2x + 2x + 9$

$3x = 9$

Divide sides by 3

$\frac{3x}{3} = \frac{9}{3} \\$

$x = 3$

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CHECK :

$2x + 9 = 5x$

$2(3) + 9 = 5(3)$

$6 + 9 = 15$

$15 = 15$

So the value is correct.

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8 0

3 years ago

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DiKsa [7]

9514 1404 393

Answer:

f^-1(x) = 4+∛((x-6)/5)

Step-by-step explanation:

To find the inverse function, solve ...

x = f(y)

then write the answer in functional form.

$\displaystyle x=f(y)\\\\x=5(y-4)^3+6\\\\x-6=5(y-4)^3\\\\\frac{x-6}{5}=(y-4)^3\\\\\sqrt[3]{\frac{x-6}{5}}=y-4\\\\y=4+\sqrt[3]{\frac{x-6}{5}}\\\\\boxed{f^{-1}(x)=4+\sqrt[3]{\frac{x-6}{5}}}$