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2 years ago

What is an equation of the line that passes through the point (−4,8) and is parallel to the line x+y=6?

Mathematics

2 answers:

Lorico [155]2 years ago

7 0

Answer:

y = - x + 4

Step-by-step explanation:

x + y = 6

y = - x + 6

Slope= -1

Use the same slope since the two lines are parallel to each other.

Point-slope formula:

y - 8 = -1 (x - - 4)

y - 8 = -1 (x + 4)

y - 8 + 8 = -x - 4 + 8

y = - x + 4 (Slope-intercept form)

Alenkinab [10]2 years ago

5 0

Hope this helped you

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2 years ago

Your dad is designing a new garden for your backyard. He has 20 feet of fencing to go around the garden. He wants the length of

Komok [63]

Answer:

Length = 6.25 feet

Step-by-step explanation:

Your dad is designing a new garden for your backyard. He has 20 feet of fencing to go around the garden.

Let the width is x.

Length is 2 1/2 feet longer than the width i.e. (x+2 1/2) = (x+2.5) feet

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3 0

3 years ago

14(0.89)^x+4.5 =162

lisabon 2012 [21]

$14(0.89)^{x + 4.5} = 162$
$\frac{14(0.89)^{x + 4.5}}{14} = \frac{162}{14}$
$0.89^{x + 4.5} = 11\frac{4}{7}$
$ln(0.89^{x + 4.5}) = ln(11\frac{4}{7})$
$(x + 4.5)ln(0.89) = ln(11\frac{4}{7})$
$\frac{(x + 4.5)ln(0.89)}{ln(0.89)} = \frac{ln(11\frac{4}{7})}{ln(0.89)}$
$x + 4.5 = -2101.14032500$
$x = 2105.64032500$

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3 years ago