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3 years ago

Simplifty (x - 4)(x +8)

Mathematics

1 answer:

sineoko [7]3 years ago

3 0

Answer: x² + 4x - 32

Step-by-step explanation: So to multiply these two binomials together, let's use the F.O.I.L. method.

Remember, F.O.I.L. stands for First, Outter, Inner, Last.

This is because we start with the product of the first terms which is x², then we add the product of the outer terms which is 8x, then we add the middle terms which is -4x, and then we add the product of the last terms which is -32.

So we have x² + 8x + -4x + -32.

Combining the like terms 8x + -4x, our final answer is x² + 4x - 32.

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zmey [24]

Step-by-step explanation:

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2 years ago

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2 years ago

If the figure is rotated 270° counterclockwise about the origin, what is the length of segment N′P′?

kap26 [50]

Answer:

Option (2)

Step-by-step explanation:

Since, rotation of any figure is a rigid transformation, side lengths and measure of angles of the image polygon after rotation will remain same.

NP = N'P'

Coordinates of N → (5, 9)

Coordinates of P → (7, 9)

Formula of distance between two points $(x_1,y_1)$ and $(x_2,y_2)$ is,

d = $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

By this formula length of NP = $\sqrt{(7-5)^2+(9-9)^2}$

= 2 units

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2 years ago

Y=x+3 y=3x+1 A. (1,3) B. (0,1) O C. (0,3) D. (1.4)

guajiro [1.7K]

Answer:

D: (1, 4)

Step-by-step explanation:

You can either solve by substitution or elimination. If you are timed, the fastest way is to guess and check (plug-in the answer choices)

I will be using substitution to solve this:

Step 1: Since you have y already, you can set them equal to each other

x+3 = 3x+1

3 = 2x +1

2 = 2x

x = 1

Step 2: Now you have x, plug x into one of the original equations. In this case, I will use the first one

y = 1 + 3

y = 4

Step 3: Now write your answer as a coordinate plane point

x = 1, y = 4

(1, 4)

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2 years ago

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The quotient of three times a number and 8 is no more than 13

RideAnS [48]

Answer:

3n/8 ≤ 13

Step-by-step explanation:

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2 years ago