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Kamila [148]
3 years ago
9

Factor the expression: 4d - 4 How do u do this plz help

Mathematics
1 answer:
kherson [118]3 years ago
4 0

Answer: 4(d - 1)

Step-by-step explanation:

both terms in 4d - 4 have a common factor: 4. pull this 4 out of both factors in order to get 4(d - 1)

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1/4

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In the figure below, BD and EC are diameters of circle P. What is the arc measure of ADE in degrees? IMAGE BELOW
Pani-rosa [81]

Answer:

The arc measure of ∠ADE is equal to 333 degrees.

Step-by-step explanation:

Please refer to the attached diagram,

Let the unknown angle ∠APE = x

Since BD is the diameter of the circle then

∠APE + ∠DPE + ∠APB = 180°

∠APE + 63° + 90° = 180°

x + 63° + 90° = 180°

Solving for x

x = 180° - 90° - 63°

x = 90° - 63°

x = 27°

Since a circle has 360° then

∠ADE + ∠APE = 360°

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∠ADE = 360° - 27°

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Therefore, the arc measure of ∠ADE is equal to 333 degrees.

8 0
2 years ago
A glass container can hold 216a^3 cubic cm of water. inside the glass container is a metallic cube with a volume of 64b^3 cubic
xz_007 [3.2K]

Answer:

16(3a-2b)(4a^2+3ab+2b)

Step-by-step explanation:

We will be able to fill the glass up to the amount of water possible to hold in the glass, minus the amount in the cube. This means it will be able to hold 216a^3-64b^3=(6a)^3-(4b)^3cubic cm of water.

Using the difference of cubes formula(you can prove this by expanding back out again), we get that (6a^3)-(4b)^3=(6a-4b)((6a)^2+(6a)(4b)+(4b)^2)=(6a-4b)(36a^2+24ab+16b)=8(6a-4b)(4a^2+3ab+2b)=16(3a-2b)(4a^2+3ab+2b)

Therefore, the answer is \boxed{16(3a-2b)(4a^2+3ab+2b)} cubic centimeters and we're done!

6 0
2 years ago
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