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3 years ago

X 2 + 8x +12 identify the correct factor

Mathematics

1 answer:

PilotLPTM [1.2K]3 years ago

5 0

Answer:

x+6 and x+2 are factors

Step-by-step explanation:

x²+8x+12

(x+6)(x+2)

So x+6 and x+2 are factors of x²+8x+12

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The sum of two consecutive odd numbers is 284. Find each number please.

Vlad [161]

We can solve this by finding one of the numbers first
Let the smaller number be y.
Since these 2 numbers are consecutive odd numbers, the larger number should be 2 more than the smaller one (y+2).

Therefore,
y + (y+2) = 284
2y +2 = 284
shift +2 to the other side and turn it into -2
2y = 284 - 2
2y = 282
shift x2 to the other side and turn it into /2
y = 282/2
y = 141

Now we got the smaller number, which is 141, we can also find the larger number by adding 2 to it. 141+2 = 143,
Therefore, your answer is 141 and 143

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3 years ago

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HELP!!!

lesya [120]

Answer:

its D

Step-by-step explanation:

basically all you have to do if cut off the semicircles fins their areas then find the rectangles area and add them all up

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3 years ago

A prop for the theater club’s play is constructed as a cone topped with a half- sphere. What is the volume of the prop? Round yo

san4es73 [151]

The volume of the prop is calculated to be 1,875.6 cubic cm.

Step-by-step explanation:

Step 1; The prop consists of a cone and a half-sphere on top. We will have to calculate the volumes of the cone and the half-sphere separately and then add them to obtain the total volume.

Step 2; The volume of a cone is determined by multiplying $\frac{1}{3}$ with π, the square of the radius (r²) and height (h). Here we substitute π as 3.14. The radius is 8 cm and the height is 12 cm.

The volume of the cone = $\frac{1}{3}$ × 3.14 × 8 × 8 × 12 = 803.84 cubic cm.

Step 3; The area of a half-sphere is half of a full sphere. The volume of a sphere is given by multiplying $\frac{4}{3}$ with π and the cube of the radius (r³). Here the radius is 8cm. We take π as 3.14.

The volume of a full sphere = $\frac{4}{3}$ × 3.14 × r³ = $\frac{4}{3}$ × π × 8³ = 2,143.5733 cubic cm.

The volume of a half-sphere = $\frac{ 2,143.5733}{2}$ = 1,071.7866 cubic cm.

Step 4; The total volume = The volume of the cone + The volume of the half sphere,

The total volume = 803.84 cubic cm + 1,071.7866 cubic cm = 1,875.6266 cubic cm. By rounding this off to the nearest tenth we get 1,875.6 cubic cm.

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4 years ago

WILL GIVE BRAINLIEST The angle of elevation from Ben to the top of a telephone pole is 62 degrees. If Ben is standing 8 feet fro

MrRissso [65]

Answer: The height of the telephone pole = $15.046

Step-by-step explanation:

Given: Angle of elevation= 62 degrees.

Distance of Ben from the base of the pole = 8 feet

According to trigonometry, we have

$\tan x=\dfrac{\text{side opposite to x}}{\text{side adjacent to x}}$

i.e.

$\tan 62^{\circ}=\dfrac{\text{ height of the telephone pole}}{8}\\\\(1.880726)=\dfrac{\text{ height of the telephone pole}}{8}\\\\\text{ Height of the telephone pole} = 8\times 1.880726\approx15.046$

Hence, The height of the telephone pole = $15.046

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3 years ago

Read the excerpt from “Raymond's Run.” But now, if anybody has anything to say to Raymond, anything to say about his big head, t

dsp73

Answer:

D. She uses Squeaky’s thoughts and words to tell readers about her character.

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3 years ago

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