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3 years ago

The coordinates of the vertices of ΔABC are A(−5, 1), B(−5, −1), and C(−1, −1). Find the side lengths and the angle measures.

Mathematics

1 answer:

givi [52]3 years ago

7 0

Answer:

is b

Step-by-step explanation:

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Find the inverse of the following function

KatRina [158]

f-¹(x)= $\frac{2-7x}{x+2}$

Answer:

Solution given:

f(x)= $\frac{-2x+2}{x+7}$

Let f(x)=y

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

Interchanging role of x and y

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

doing crisscrossed multiplication

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

now solve it:

xy+7x=-2y+2

keep like terms in one side

xy+2y=2-7x

take common

y(x+2)=2-7x

make a value of y

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

So,

f-¹(x)= $\frac{2-7x}{x+2}$

3 0

3 years ago

Read 2 more answers

Find the value of c that completes the square

Kitty [74]

Answer:

c = 64

Step-by-step explanation:

Given

x² - 16x + c

To complete the square

add ( half the coefficient of the x- term )² to x² - 16x

x² + 2(- 8)x + 64

= (x - 8)²

Thus

x² - 16x + 64 = (x - 8)² ← a perfect square

with c = 64

8 0

3 years ago

Consider function f.

tekilochka [14]

Given:

The function is:

$f(x)=\sqrt{7x-21}$

To find:

The steps of finding the inverse function $f^{-1}(x)$ .

Solution:

We have,

$f(x)=\sqrt{7x-21}$

The steps of finding the inverse function are:

Step 1: Substitute $f(x)=y$ .

$y=\sqrt{7x-21}$

Step 2: Interchange x and y.

$x=\sqrt{7y-21}$

Step 3: Taking square on both sides, we get

$x^2=7y-21$

Step 4: Adding 21 on both sides, we get

$x^2+21=7y$

Step 5: Divide both sides by 7.

$\dfrac{1}{7}x^2+3=y$

Step 6: Substitute $y=f^{-1}(x)$ .

$\dfrac{1}{7}x^2+3=f^{-1}(x)$ , where $x\geq 0$ .

Therefore, the inverse of the given function is $f^{-1}(x)=\dfrac{1}{7}x^2+3$ and the arrangement of steps is shown above.

7 0

3 years ago

Pls help! will give brainlist!

Nataliya [291]

Answer:

(242) 969-0519

(338) 837-0798

(857) 705-0462

(251) 837-6638

(460) 208-1331

(412) 505-2184

Step-by-step explanation:

8 0

3 years ago

Solve in degrees. 0 < θ < 360<br> 1. tan θ = 3.5134

Temka [501]

Answer:

Therefore,

$\theta=74.11\°\ or\ \theta=254.11\°$

Step-by-step explanation:

Given:

0° < θ < 360°

tan θ = 3.5134

To Find:

θ in degrees = ?

Solution:

0° < θ < 360° .............Given

Means ' θ ' is between 0° and 360°

$\tan \theta=3.5134$ .............Given

Therefore,

$\theta=\tan^{-1} (3.5134)$

Also,

$\tan (180+\theta)=\tan \theta$

So ' θ ' will have Two values for tan θ =3.5134

$\therefore \theta=74.11\°\ or\ \theta=180+74.11=254.11\°$

Therefore,

$\theta=74.11\°\ or\ \theta=254.11\°$

5 0

3 years ago