3 years ago

the slope of the line below is -3. use the coordinates of the labeled point to find a slope-point equation of the line. (5,-7)

1 answer:

5 0

$\bf (\stackrel{x_1}{5}~,~\stackrel{y_1}{-7})~\hspace{10em} slope = m\implies -3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-(-7)=-3(x-5) \\\\\\ y+7=-3x+15\implies y=-3x+8$

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A cylinder has a diameter of 6 ft and height of 9 ft. What is the volume of this cylinder? A) 54 ft2 B) 169.8 ft3 C) 254.3 ft3 D

Margarita [4]

In order to find the volume of a cylinder, we must find the area of its circular face and multiply that value by its height. The area of a circle is (pi)*r^2. The diameter is twice the radius, so the cylinder has a radius of 6/2, or 3 ft. The area of the circular face of the cylinder is therefore 9(pi) or approximately 28.27 sq. ft. Multiplying that area by the height of 9 ft. results in a volume of approximately 254.3 cubic ft., which is answer C.

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3 years ago

Read 2 more answers

Which two numbers of the given data set have the same absolute value? Explain your answer in full sentences. -5, 5, -3, 8

Rus_ich [418]

Answer

-5 and 5

Explanation

Absolute value generally means the considering the magnitude only but not the sign. -5 and 5 have the same magnitude.

/-5/ = 5

/+5/ = 5

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