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3 years ago

Solve the inequality |x − 6| − 10 < 1 Write the answer as a compound inequality

1 answer:

5 0

|x-6| < 1 + 10 (move 10 to the right side)
|x-6| < 11

1)x-6 < 11 (here x >= 6)
2)-x+6 < 11 (here x < 6)

1)x<17
2)x>-5

so we get -5 < x < 17

the answer: (-5; 17)

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The stopping distance, D, in feet of a car is directly proportional to the square of it's speed, V. Write the direct variation e

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Answer:

$D=kV^2$

Step-by-step explanation:

In this problem, it is given that,

The stopping distance, D, in feet of a car is directly proportional to the square of it's speed, V.

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3 years ago

What are the coordinates of the vertices of the rose garden after a translation two yards east and four yards south? Use the ter

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Answer:

The coordinates of the vertices of the original rose garden are A(3, 6), B(3, 3), C(4, 3), and D(4, 6).

Because the rose garden is translated 2 yards east (2 units in the positive x-direction) and 4 yards south (4 yards in the negative y-direction), add 2 units to the x-coordinates and -4 units to the y-coordinates of all the original vertices.

A(3, 6) will become A'[(3 + 2), (6 + (-4))], or A′(5, 2).

B(3, 3) will become B'[(3 + 2), (3 + (-4))], or B′(5, -1).

C(4, 3) will become C'[(4 + 2), (3 + (-4))], or C′(6, -1).

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3 years ago

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$\text{We know:}\\\\\sin(-\alpha)=-\sin\alpha\\\\\sin(\alpha\pm k\cdot360^o)=\sin\alpha\\\\===============================\\\\\sin(360^o-\theta)=\sin\bigg(-(\theta-360^o)\bigg)=-\sin(\theta-360^o)=-\sin\theta$

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3 years ago