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tigry1 [53]
2 years ago
6

Can anyone help me to solve this question? Please

Mathematics
1 answer:
LuckyWell [14K]2 years ago
8 0

Answer:

y = 1/2x + 2

Step-by-step explanation:

m = -2, (3, - 1)

y - - 1 = -2(x - 3)

y + 1 = -2x +3

y = - 2x + 2

Perpendicular line slope: 1/2x

y = 1/2x +2

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Choose one of the factors of x15 − 64. (2 points)
Lorico [155]

We have been given the function x^{15}-64

Convert this expression in difference of cubes form.

x^{15}-64\\=(x^5)^3-4^3

Now, in order to find the factors, we can apply the difference of cubes form, which is given by

x^3-y^3=(x-y)(x^2+xy-y^2)

On applying this formula, we get

(x^5-4)(x^{10}+4x^5+16)

Hence, the factors of the given expression are

(x^5-4) \text{ and }(x^{10}+4x^5+16)

Out of the given option, A is the correct option.

x^5 − 4 is the required factor.

6 0
3 years ago
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A car is 165 inches long. A truck is 65% longer than the car.<br> How long is the truck?
zmey [24]

Answer:

262.25 inches

Step-by-step explanation:

65% of 165 is 107.25

107.25+165=272.25

so the truck is 262.25 inches long

4 0
3 years ago
Which best explains why this triangle is or is not a right triangle?
olchik [2.2K]

Answer:

D

Step-by-step explanation:

If it is a right triangle, by pythagorous theorem, 39^2 = 36^2 + 15^2

or, 36^2 + 15^2 - 39^2 = 0

6 0
3 years ago
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Double the difference of 25 and 10 is
Gennadij [26K]

Answer:

30

Step-by-step explanation:

25-10 = 15

15 x 2 = 30

7 0
2 years ago
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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°

∠ADE + x = 360°

∠ADE + 27° = 360°

∠ADE = 360° - 27°

∠ADE = 333°

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

8 0
2 years ago
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