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3 years ago

Find the distance (7,-8) and (0,2)

Mathematics

1 answer:

Kobotan [32]3 years ago

7 0

Answer:

d = √149 = 12.2

Step-by-step explanation:

Distance between 2 coordinates: d = √[(x2 − x1)^2 + (y2 - y1)^2]

d = √[(0 - 7)^2 + (2 - -8)^2]

d = √[(-7)^2 + (10)^2]

d = √[49 + 100]

d = √149 = 12.2

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F(x) = 2x + 5 then f(?) = 5 2 1 0 3

Romashka [77]

Answer: answer is 0

Step-by-step explanation:

F(0)=2(0)+5

F(0)=0+5

F(0)=5

8 0

3 years ago

Read 2 more answers

The formula r = d/t gives the rate r for a distance d traveled in an amount of time t. A trip of 120 miles takes 2.5 hours. What

Vesnalui [34]

It is A, 48 mph...........

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3 years ago

4TH TIME ASKING THIS!!! Please help me! Someone pleaseeee. I need the correct answers. I don’t want to fail

Alexeev081 [22]

Answer:

The functions are inverses; f(g(x)) = x ⇒ answer D

$h^{-1}(x)=\sqrt{\frac{x+1}{3}}$ ⇒ answer D

Step-by-step explanation:

* Lets explain how to find the inverse of a function

- Let f(x) = y

- Exchange x and y

- Solve to find the new y

- The new y = $f^{-1}(x)$

* Lets use these steps to solve the problems

∵ $f(x)=\sqrt{x-3}$

∵ f(x) = y

∴ $y=\sqrt{x-3}$

- Exchange x and y

∴ $x=\sqrt{y-3}$

- Square the two sides

∴ x² = y - 3

- Add 3 to both sides

∴ x² + 3 = y

- Change y by $f^{-1}(x)$

∴ $f^{-1}(x)=x^{2}+3$

∵ g(x) = x² + 3

∴ $f^{-1}(x)=g(x)$

∴ The functions are inverses to each other

* Now lets find f(g(x))

- To find f(g(x)) substitute x in f(x) by g(x)

∵ $f(x)=\sqrt{x-3}$

∵ g(x) = x² + 3

∴ $f(g(x))=\sqrt{(x^{2}+3)-3}=\sqrt{x^{2}+3-3}=\sqrt{x^{2}}=x$

∴ f(g(x)) = x

∴ The functions are inverses; f(g(x)) = x

* Lets find the inverse of h(x)

∵ h(x) = 3x² - 1 where x ≥ 0

- Let h(x) = y

∴ y = 3x² - 1

- Exchange x and y

∴ x = 3y² - 1

- Add 1 to both sides

∴ x + 1 = 3y²

- Divide both sides by 3

∴ $\frac{x + 1}{3}=y^{2}$

- Take √ for both sides

∴ ± $\sqrt{\frac{x+1}{3}}=y$

∵ x ≥ 0

∴ We will chose the positive value of the square root

∴ $\sqrt{\frac{x+1}{3}}=y$

- replace y by $h^{-1}(x)$

∴ $h^{-1}(x)=\sqrt{\frac{x+1}{3}}$

4 0

3 years ago

Make a the subject of the formula V= u+ at

aniked [119]

V=u + at
V - u = at divide both sides by
t
(V-u)/t =a
a = (v - u) /t

6 0

2 years ago

Sin(3pi over 4) = _____

OlgaM077 [116]

If you're using the app, try seeing this answer through your browser: brainly.com/question/2790456

______________

$\mathsf{sin\!\left(\dfrac{3\pi}{4}\right)}\\\\\\ =\mathsf{sin\!\left(\dfrac{3\cdot 180^\circ}{4}\right)}\\\\\\ =\mathsf{sin(135^\circ)}\\\\ =\mathsf{sin(180^\circ-135^\circ)}$

$=\mathsf{sin(45^\circ)}\\\\ =\mathsf{\dfrac{\sqrt{2}}{2}}\quad\longleftarrow\quad\textsf{this is the answer.}$

I hope this helps.=)

Tags: sine sin common angles trig trigonometry

8 0

3 years ago