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Nat2105 [25]
2 years ago
14

The slope of a given line is shown below. Find the slope of a line parallel to the given line and the slope of a line perpendicu

lar to the given line.
M=5

The slope of a line parallel to the given line is m=___.
Mathematics
1 answer:
Sphinxa [80]2 years ago
6 0

Answer:

The slope of a line parallel to the given line = 5

The slope of a line perpendicular to the given line = - 1/5

Step-by-step explanation:

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Ksivusya [100]

Answer:

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Step-by-step explanation:

-10x + 2 = 14x

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16 x 1/12 = 16/12 or 4/3

3 0
3 years ago
Find the volume of the solid bounded by z = 2 - x2 - y2 and z = 1. Express your answer as a decimal rounded to the hundredths pl
butalik [34]

Answer:

The answer is "(\frac{\pi}{2})".

Step-by-step explanation:

z = 2 - x^2 - y^2.........(1) \\\\z = 1.............(2)  

Let add equation 1 and 2:

Using formula: x^2+y^2=1 \\\\

convert to polar coordinates

r=2

\theta \varepsilon (0=\pi)=z\\\\V=\int^{2\pi}_{\theta=0}\int^{1}_{\pi=0}\int^{z_{2}}_{z_1} r \ dr \d \theta\\\\

    =\int^{2\pi}_{0}\int^{1}_{0}  (Z_2-z_1)r  \ dr \d \theta\\\\=\int^{2\pi}_{0}\int^{1}_{0} 1- (-1-x^2-y^2) r \ dr \d \theta\\\\=\int^{2\pi}_{0}\int^{1}_{0} (+1 \pm r^2) r \ dr \d \theta\\\\=\int^{2\pi}_{0}\int^{1}_{0} (-r^3 + r)  \ dr \d \theta\\\\=\int^{2\pi}_{0} (-\frac{r^4}{4}+\frac{r^2}{1})^{1}_{0}  \d \theta\\\\=\int^{2\pi}_{0} (\frac{1}{4})  \d \theta\\\\=(\frac{2 \pi}{4}) \\\\=(\frac{\pi}{2}) \\\\

8 0
2 years ago
There are 30 students in Mr.Thomas' class.If he wants 20% of the students in each group, how many students will be in. each grou
zhuklara [117]
First you find out what 20% of 30 is (30 * 0.20 = 6)
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8 0
3 years ago
Read 2 more answers
Write the equation in standard form<br> using factoring.<br> f(x) = (2x<br> +<br> 1)(x – 4)
klemol [59]

Answer:

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Step-by-step explanation:

=2x^2-8x+x-4

=2x^2-7x-4

7 0
3 years ago
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