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Zanzabum
3 years ago
5

Use distributive property and then combine like terms to write an equivalent expression for:

Mathematics
1 answer:
lara [203]3 years ago
4 0

Answer:

−2y3+4y2+18x+8

Step-by-step explanation:

Let's simplify step-by-step.

4(y2+2)+6x−2y3+12x

Distribute:

=(4)(y2)+(4)(2)+6x+−2y3+12x

=4y2+8+6x+−2y3+12x

Combine Like Terms:

=4y2+8+6x+−2y3+12x

=(−2y3)+(4y2)+(6x+12x)+(8)

=−2y3+4y2+18x+8

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Two rays that intersect at a right angle are best described as which of the following
sveticcg [70]

A coplanar point are points that lie on the same line. An angle is the intersection of two noncollinear rays at a common endpoint. The rays are called sides and the common endpoint is called the vertex.


hope that helps


7 0
3 years ago
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Please help me with this homework
TiliK225 [7]

Answer:

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Step-by-step explanation:

5 0
3 years ago
If g(x)=4x-6 then g^-1(x)=?<br> (1) -4x+6<br> (2)-1/4x+1/6<br> (3)1/4x+3/2<br> (4)1/4x+6
kati45 [8]

Given:

g(x)=4x-6

To find:

The function g^{-1}(x).

Solution:

we have,

g(x)=4x-6

Put g(x)=y.

y=4x-6

Interchange x and y.

x=4y-6

Isolate y.

x+6=4y

\dfrac{x+6}{4}=y

y=\dfrac{x+6}{4}

Substitute y=g^{-1}(x).

g^{-1}(x)=\dfrac{x+6}{4}

g^{-1}(x)=\dfrac{x}{4}+\dfrac{6}{4}

g^{-1}(x)=\dfrac{x}{4}+\dfrac{3}{2}

Therefore, the correct option is (3).

4 0
3 years ago
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Zach wants to build a slanted skateboard ramp. He knows he wants the ramp to form a 15 degrees angle with the ground and be 4 fe
Fynjy0 [20]

Answer: The ramp would be 15.5 feet long.

Step-by-step explanation: Please refer to the attached diagram for details.

Angle C shows the angle to be formed by the ramp from the ground, which is 15 degrees. Also, from the ground, it’s going to be four feet tall, which is line AB. The top of the ramp is point A, which makes line AC the entire length of the ramp. Since we have a reference angle (angle C) and two sides, the opposite and the hypotenuse, we shall apply the trigonometric ratio.

SinC = opposite/hypotenuse

Sin 15 = 4/b

By cross multiplication we now have

b = 4/Sin15

b = 4/0.2588

b = 15.4599

Approximately b = 15.5

Therefore the length of the ramp would be 15.5 feet

6 0
3 years ago
23−11 Enter your answer as a fraction in simplest form by filling in the boxes.<br> 30 30
mamaluj [8]

23 - 11 = 12

12 = 12/1

6 0
3 years ago
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