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3 years ago

H(t)= |t+3| + 3 . find h(6)

Mathematics

1 answer:

Leno4ka [110]3 years ago

6 0

Sub 6 for t

H(6)=|6+3|+3
H(6)=|9|+3
H(6)=9+3
H(6)=12

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3 years ago

Which equations represent the line that is parallel to 3x − 4y = 7 and passes through the point (−4, −2)? Select two options. y

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Answer:

The equation of the parallel line to the given equation is

3 x-4 y = -4 and

The equation of the parallel line to the given equation is

$y = 1 + \frac{3 x}{4}$

Step-by-step explanation:

Explanation:-

Given equation of the line 3 x -4 y = 7 and given point ( -4 , -2 )

The equation of the parallel line to the given equation is

3 x - 4 y = k

it is passes through the point ( -4 , -2)

3 (-4) - 4 ( -2) = k

-12 +8 = k

k = -4

The equation of the parallel line to the given equation is

3 x- 4 y = -4

Dividing '4' on both sides , we get

$\frac{3 x-4 y}{-4} = 1$

$\frac{-3 x}{4} +y =1$

$y = 1 + \frac{3 x}{4}$

Conclusion:-

∴ The equation of the parallel line to the given equation is

3 x- 4 y = -4

and

The equation of the parallel line to the given equation is

$y = 1 + \frac{3 x}{4}$

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