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3 years ago

The figure shows two similar triangles which two sets of angles are corresponding angles?

Mathematics

1 answer:

Zinaida [17]3 years ago

5 0

A) angle m and angle p; angle n and angle o

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Find the inverse of the function. Show work. g(x)= - 3/x-2 +2

4vir4ik [10]

Answer:

$\displaystyle g^{-1}(x)=\frac{-7+2x}{x-2}$

Step-by-step explanation:

We are given the function:

$\displaystyle g(x)=-\frac{3}{x-2}+2$

Let's find the inverse of g.

Call y=g(x):

$\displaystyle y=-\frac{3}{x-2}+2$

We need to solve for x. Multiply both sides by x-2 to eliminate denominators:

$y(x-2)=-3+2(x-2)$

Operate:

$yx-2y=-3+2x-4$

Collect the x's to the left side and the rest to the right side of the equation:

$yx-2x=-3-4+2y$

Factor the left side and operate on the right side:

$x(y-2)=-7+2y$

Solve for x:

$\displaystyle x=\frac{-7+2y}{y-2}$

Interchange variables:

$\displaystyle y=\frac{-7+2x}{x-2}$

Call y as the inverse function:

$\boxed{\displaystyle g^{-1}(x)=\frac{-7+2x}{x-2}}$

5 0

3 years ago

Three workers have to do a certain job. The first worker can finish the job in 8 hours. The second worker can finish the job in

mestny [16]

Working together three workers would take 1 hour 36 minutes to finish the job

Solution:

Given that first worker can finish the job in 8 hours

So in one hour, first worker can do $\frac{1}{8}$ th of the work

The second worker can finish the job in 4 hours

So in one hour, second worker can do $\frac{1}{4}$ th of the work

The third worker can also finish the job in 4 hours

So in one hour, third worker can do $\frac{1}{4}$ th of the work

The three workers working together in 1 hour can do:

$\frac{1}{8} + \frac{1}{4} + \frac{1}{4} = \frac{1 + 2 + 2}{8} = \frac{5}{8}$

The three worker can thus do $\frac{5}{8}$ th of the work in one hour

Hence the three of them together can finish the work in $\frac{8}{5}$ hours

$\frac{8}{5} = 1\frac{3}{5}$ hours

Thus working together three workers would take 1 hour 36 minutes to finish the job

8 0

3 years ago

Collinear points are two or more points that lie on the same blank?HELP

guapka [62]

Collinear points are two or more points that lie on the same line.
this question came out in a juniour olympiad nigeria
please follow me on instagram please

7 0

4 years ago

Combine like terms 45Y +13 Y equals

Leya [2.2K]

Answer:

45Y + 13Y equals 58Y is the answer

7 0

3 years ago

Read 2 more answers

Which is the inverse of the function f(x) = x2 − 4? y = x2 − 4

4vir4ik [10]

Answer:

$\sqrt{x+4} \\\\-\sqrt{x+4}$

Step-by-step explanation:

8 0

4 years ago

The figure shows two similar triangles which two sets of angles are corresponding angles?​

The figure shows two similar triangles which two sets of angles are corresponding angles?