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4 years ago

What is the value of y ?

Mathematics

1 answer:

tia_tia [17]4 years ago

4 0

Answer:

Step-by-step explanation:

Chords within a circle are proportional. Proportional means that they form equal ratios. To solve for y, set up a proportion.

The ratios we will create will be $\frac{long}{short} =\frac{long}{short}$ where each long and short form an angle.

So write:

$\frac{12}{8} =\frac{y}{4}$

To solve, cross multiply numerator with denominator.

12(4) = 8(y)

48=8y

6=y

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3 years ago

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klio [65]

Finding the inverse function of $f(x) = 5\sqrt{x + 3} - 2$ , it is best described by graph B.

<h3>How to find the inverse of a function?</h3>

Supposing we have a function y = f(x), to find the inverse, we exchange x and y, and isolate y.

In this problem, the function is:

$f(x) = 5\sqrt{x + 3} - 2$

$y = 5\sqrt{x + 3} - 2$

Exchanging x and y:

$x = 5\sqrt{y + 3} - 2$

Working through the function to isolate y:

$5\sqrt{y + 3} = x + 2$

$\sqrt{y + 3} = \frac{x + 2}{5}$

$(\sqrt{y + 3})^2 = \left(\frac{x + 2}{5}\right)^2$

$y + 3 = \frac{(x + 2)^2}{25}$

$y = \frac{(x + 2)^2}{25} - 3$

$f^{-1}(x) = \frac{(x + 2)^2}{25} - 3$

Which is best represented by graph B.

More can be learned about inverse functions at brainly.com/question/27830327

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2 years ago

2(4+c)=67 help solve for c

vesna_86 [32]

Answer:

c = 29.5 or

c = 59/2

Step-by-step explanation:

2 (4 + c) = 67

8 + 2c = 67

8 - 8 + 2c = 67 - 8

2c = 59

c = 29.5

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3 years ago