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3 years ago

What happens when the line and the slope increase and decrease

1 answer:

8 0

When you use this formula slope = rise/run like rise over run than you find the slope. rise me y and run means x. So when the line slopes downwards to the right it became negative slope as x increases and when line sloped upward to the right the slope become positive as y decreases.

formula to find slope: slope = rise/run or y/x

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Find the volume of the solid generated by revolving the region bounded by

Rama09 [41]

Answer:

$V =\dfrac{25\pi}{\sqrt{2}}$

Step-by-step explanation:

given,

y=5√sinx

Volume of the solid by revolving

$V = \int_a^b(\pi y^2)dx$

a and b are the limits of the integrals

now,

$V = \int_a^b(\pi (5\sqrt{sinx})^2)dx$

$V =25\pi \int_{\pi/4}^{\pi/2}sinxdx$

$\int sin x = - cos x$

$V =25\pi [-cos x]_{\pi/4}^{\pi/2}$

$V =25\pi [-cos (\pi/2)+cos(\pi/4)]$

$V =25\pi [0+\dfrac{1}{\sqrt{2}}]$

$V =\dfrac{25\pi}{\sqrt{2}}$

volume of the solid generated is equal to $V =\dfrac{25\pi}{\sqrt{2}}$

4 0

3 years ago

Simplify the following rational expression and express in expanded form.

VladimirAG [237]

Answer:

D m = $-\frac{3}{8}$

Step-by-step explanation:

factor the expressions in the denominator and the numerator to simplify the expression:

=> $\frac{2(-2m + 1)(2m - 1)}{2(2m - 1)(8m + 3)}$

=> $-\frac{2m + 1}{8m + 3}$

to make a fraction undefined, the numerator should be 0, thus, we substitute the values of m from the options into the denominator to make the denominator equals to 0:

=> $-\frac{2m + 1}{8(-\frac{3}{8} ) + 3}$ = $-\frac{2m + 1}{-3 + 3}$ = $-\frac{2m + 1}{0}$

in this case, the values of m from option D make the denominator of the fraction equals 0.

6 0

3 years ago

Simplify square root of 484

zhannawk [14.2K]

Answer:

Step-by-step explanation:

484 = 2^2 × 11^2

√484 = 2×11 = 22

3 0

3 years ago

M^2=81 is true for<br><br> I NEED HELP GUYS

Pavlova-9 [17]

Answer:

yes

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Which of the following is a possible unit for the volume of a cone?

mash [69]

Possible unit is m³

<u>Step-by-step explanation:</u>

The possible unit for volume of a cone is m³
Volume of a cone = Base area × Height
Here unit for volume will be square units and that of height will be in units. Together, they form cubic units.
In the given options, the only unit that is in cubic form is m³

8 0

3 years ago