If (7, m) is on a circle with center C(−2, 2) and radius 9, what is the value of m?

Answers

Answer 1

Answer: First thing I did was check the distance between the point and the center of the circle on the x-axis, because that was the information already given. Turns out that 7 - (-2) = 9, and so m is equal to the y-value of the center of the circle.

m = 2

Hope that helps!

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8)What is the equation of a line that goes through the point (3, 12) and is perpendicular to the line given by the equation y = -1/3x - 7?(A) y = -3x - 12
(B )y = -1/3x + 6
(C) y = 3x + 3
(D) = (1/3x) - 6

Answers

The slope of the first line is $m_1=(-1)/(3)$ .
To be perpendicular the slope of the second line must be the negative reciprocal of the first: $m_2=3$
Use the slope-intercept formula:
$y=mx+b$
Substitute known values:
$12=3(3)+b$
Solve for $b$ :
$b=3$
Complete the formula:
$y=3x+3$

N a water treatment plant, water passes through a cone-shaped filter with a height of 4 m and a diameter of 9 m. The water flows from the filter into a cylinder below it. One full cone-shaped filter fills one-fifth of the cylinder.What are the dimensions of the cylinder? Use 3.14 to approximate pi.
A. h = 3 m; r = 3 m
B.h = 4.23 m; r = 5 m
C.h = 15 m; r = 6 m
D.h = 33.75 m; r = 2 m

Answers

Given:
Cone-shaped filter: height = 4m ; diameter = 9m
cylinder: one full cone-shape filter fills 1/5 of the cylinder

volume of the cone = π r² h/3 = 3.14 * (4.5m)² * 4m/3
V = 3.14 * 20.25m² * 1.33m
V = 84.57 m³

84.57 m³ ÷ 1/5 = 84.57 m³ * 5 = 422.85 m³ volume of the cylinder

Volume of cylinder = π r² h

Choice A: V = 3.14 * (3m)² * 3m = 3.14 * 9m² * 3m = 84.78 m³
Choice B: V = 3.14 * (5m)² * 4.23m = 3.14 * 25m² * 4.23m = 332.10 m³
Choice C: V = 3.14 * (6m)² * 15m = 3.14 * 36m² * 15m = 1695.60 m³
Choice D: V = 3.14 * (2m)² * 33.75 m = 3.14 * 4m² * 33.75m = 423.90 m³

The closest answer is Choice D. height = 33.75 m ; radius = 2 m

10. This model shows the area of a garden. Write two expressions thatrepresent the area.
Х
х
х
Х
х
1
1
1
1
1 1 1
1 1 1 1
1

Answers

Answer:

xxxxxxxx

111111

Step-by-step explanation:

Sorry & I really sorry

Answer:

Dont know how to explain

Step-by-step explanation:

Using the graph
Order the lines from the steepest slope to the least steel slope

Answers

Answer:

B, A, C, D

Step-by-step explanation:

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slope: the ratio of the change in the dependent values (outputs) to the change in the independent values (inputs) between two points on a line

Answer:

The steepest slope is that of the line that is closest to being vertical.

Step-by-step explanation:

Hope this helps!!!!

Simplest form of the expression
3sqrt750+3sqrt2058-3sqrt48.

Answers

$3√(750)+3√(2058)-3√(48)\n=3√(30*25)+3√(42*49)-3√(3*16)\n=15√(30)+21√(42)-12√(3)$

To increase an amount by 3% what single multiplier would you use?

Answers

3% is the decimal 0.03 .

To make a number 3% bigger, multiply it by 1.03 .

The ' 1 ' part is the amount that's already there, and
the ' .03 ' part is the amount to be added onto it.

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