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sleet_krkn [62]
11 months ago
10

Select the correct answer.What is the zero of the function represents by this graph?SHORT QUICK ANSWERS ONLY NOT A TEST

Mathematics
1 answer:
Pepsi [2]11 months ago
6 0

Given

Answer

The graph touches the x-axis at -6

Hence x = -6 is the zero of the graph.

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What is the slope of a line perpendicular to the line whose equation is 6x+2y=−32. Fully simplify your answer.
Reika [66]

The slope of the line that is perpendicular to 6x + 2y = -32 is: 1/3.

<h3>What is the Slope of Perpendicular Lines?</h3>

The slope of two lines that are perpendicular to each other will always have a product that is equal to -1, which means that their slopes are negative reciprocals to each other.

Rewrite 6x + 2y = -32 in slope-intercept form:

2y = -6x - 32

2y/2 = -6x/2 - 32/2

y = -3x - 16

The slope is -3. Negative reciprocal of -3 is 1/3.

Therefore, the slope of the perpendicular line would be: 1/3.

Learn more about the slope of perpendicular lines on:

brainly.com/question/1362601

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5 0
1 year ago
Find the volume of the composite figure. Explain your thought, explain how your arrived at your answer. SHOW YOUR WORK FOR FULL
Bond [772]

At the bottom of the composite figure we have half a sphere, of radius 10 in.

The volume of this hemisphere would be half the volume of the full sphere, or:

(1/2)(4/3)π(10 in)^3, or (2/3)π(1000 in^3), or (2000/3)π in^3.

On top is the cone of radius 10 and slant height 15 in. To find the volume of this cone-shaped solid, we'll need the height of the cone. This can be found using the Pyth. Thm. as follows:

15^2 = 10^2 + h^2, where h is the height of the cone.

225 = 100 + h^2, so that h= √125, or 5√5. The height of the cone is 5√5 in.

Then the volume of the cone is V = (1/3)(base)(height)

= (1/3)(π)(100 in^2)(5√5 in)

= 500√5/3(π) in^3


The total volume of the composite solid is then

(2000/3)(π in^3) + ( 500√5/3(π) ) in^3), or

(π/3)(4+√5) in^3. This comes out to 6.53 in^3, to the nearest hundredth.

7 0
3 years ago
5.
ICE Princess25 [194]

Answer:

5 x 8 /a*7

Step-by-step explanation:

8 0
2 years ago
A large bucket that is full has a small leak on the bottom. The bucket loses water at the rate of 0.75 gallons per minute. After
Marta_Voda [28]

Answer:

27

Step-by-step explanation:

Multiply 8×.75 (6)

Add that to 21

8 0
2 years ago
Express 7. 66 repeating as a ratio of two integers.
OverLord2011 [107]
Method A: 7.6666.... = 7 + 0.6666... = 7 + 2/3 = 21/3 + 2/3 = 23/3

Method B: 10(7.666...) - 1(7.666...) = 76.666... - 7.666... = 69.000...
(10 - 1)(7.666...) = 69
7.666... = 69/9 = 23/3
5 0
3 years ago
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