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3 years ago

How to simplify c^9 d^ -7/ c^14 d^-10

Mathematics

1 answer:

Sindrei [870]3 years ago

7 0

It becomes c^9-14 d^-7-(-10) so c^-4d^3 so d^3/c^4
:)

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Write the equation of the line for the following table of values.

Luda [366]

Answer:

We conclude that the equation of the line is:

$y = 5x + 1$

Step-by-step explanation:

The slope-intercept form of the line equation

$y = mx+b$

where

m is the slope

b is the y-intercept

Given the data table

x -3 -5 -7 -9 -11

y -16 -26 -36 -46 -56

From the table taking two points

(-3, -16)

(-5, -26)

Determining the slope between (-3, -16) and (-5, -26)

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(-3,\:-16\right),\:\left(x_2,\:y_2\right)=\left(-5,\:-26\right)$

$m=\frac{-26-\left(-16\right)}{-5-\left(-3\right)}$

$m=5$

Thus, the slope of the line is: m = 5

substituting m = 5 and (-3, -16) in the slope-intercept form of the line equation to determine the y-intercept b

$y = mx+b$

-16 = 5(-3) + b

-16 = -15 + b

b = -16+15

b = 1

Thus, the y-intercept b = 1

now substituting m = 5 and b = 1 in the slope-intercept form of the line equation

$y = mx+b$

$y = 5x + 1$

Therefore, we conclude that the equation of the line is:

$y = 5x + 1$

5 0

3 years ago

2^x=1/128 solve the equation

madam [21]

Answer:

x = − 7

Step-by-step explanation:

y = 4.5*x^2-9*x+8.5;4.5;-9;8.5

-(((-9)^2-(4*4.5*8.5))/(4*4.5))

-(-9/(2*4.5))

4.5*0^2-(0*9)+8.5

(7*x^5-(5*x^7))^(1/2)+1/((7*x^5-(5*x^7))^(1/2))

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3 years ago

Find the lateral surface 14ft area of the 2ft cylinder. Round your answer to the nearest tenth if necessary.

tatyana61 [14]

Answer:

616 square feet

Step-by-step explanation:

Lateral surface area of a cylinder can be determined by;

Lateral surface area = 2 $\pi$ rh

where: r is its radius, and h is its height.

Given in the question that the height of the cylinder is 14 feet and of radius 2 feet, then;

Lateral surface area = 2 $\pi$ rh

= 2 x $\frac{22}{7}$ x 2 x 14

= 2 x 22 x 2 x 7

= 616

Lateral surface area = 616 square feet

Thus, the lateral surface area of the cylinder is 616 square feet.

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stich3 [128]

I am pretty sure it's Tuesday.

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