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3 years ago

What is the slope of this line?

Mathematics

1 answer:

Marysya12 [62]3 years ago

4 0

Answer:

1/4

Step-by-step explanation:

rise: 1, run: 4

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Va rog e urgent am nevoie de raspuns

Lady_Fox [76]

Answer: 4

<u>Explanation:</u>

f(x) = 2x - 1

f(√2) = 2√2 - 1

f(1) = 2(1) - 1

= 2 - 1

= 1

f(√3) = 2√3 - 1

*******************************************************

$\frac{f(\sqrt{2})-f(1)}{\sqrt{2}-1} +\frac{f(\sqrt{3})-f(\sqrt{2})}{\sqrt{3}-\sqrt{2}}$

= $\frac{(2\sqrt{2}-1)-1}{\sqrt{2}-1} +\frac{(2\sqrt{3}-1)-(2\sqrt{2}-1)}{\sqrt{3}-\sqrt{2}}$

= $\frac{2\sqrt{2}-2}{\sqrt{2}-1} +\frac{2\sqrt{3}-2\sqrt{2}}{\sqrt{3}-\sqrt{2}}$

= $\frac{2\sqrt{2}-2}{\sqrt{2}-1}(\frac{\sqrt{2}+1}{\sqrt{2}+1})+\frac{2\sqrt{3}-2\sqrt{2}}{\sqrt{3}-\sqrt{2}}(\frac{\sqrt{3}+\sqrt{2}}{\sqrt{3}+\sqrt{2}})$

= $\frac{4+2\sqrt{2}-2\sqrt{2}-2}{2 - 1} + \frac{6 +2\sqrt{6}-2\sqrt{6}-4}{3-2}$

= $\frac{2}{1} +\frac{2}{1}$

= 4

3 0

3 years ago

What is the volume in cubic inches of the cylinder, rounded to the nearest cubic inch?

son4ous [18]

$\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\ \cline{1-1} r=9\\ h=7 \end{cases}\implies V=\pi (9)^2(7) \\\\\\ V=\pi (81)(7)\implies V=567\pi \implies V\approx 1781.28\implies \stackrel{\textit{rounded up}}{V=1781}$

7 0

3 years ago

Number 12.

blondinia [14]

Answer:

22) 22

23) -350

Step-by-step explanation:

22)

1/4 = 0.25 ft

5.5 / 0.25 = 22

Answer: 22 tiles are needed

23)

12(x + 360) = 120

x + 360 = 10

x = - 350

4 0

3 years ago

Read 2 more answers

Please help with this!

shepuryov [24]

9514 1404 393

Answer:

-11

Step-by-step explanation:

DeYanna's cards are ...

black: 2, 4, for a total value of 2+4 = 6

red: 7, 10, for a total value of -(7+10) = -17

Then the total value of DeYanna's cards is ...

6-17 = -11

7 0

3 years ago

What are the solutions to x2 + 8x + 7 = 0?

Ymorist [56]

The answer is x=-7 and x=-1

6 0

2 years ago