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olya-2409 [2.1K]
4 years ago
12

Write the equation of a line in slope intercept form that is parallel to the line y= 1/3x + 5 and passes through (-9, 5)

Mathematics
1 answer:
vladimir2022 [97]4 years ago
7 0
Find the slope of line 1
The equation of line 1 is y = (1/3)x + 5
m = 1/3

Find the slope of line 2
Line 2 is parallel to line 1. Parallel lines have the same number of slope. So the slope of line 2 is 1/3

Find the slope-intercept form of equation, with m = 1/3 and (-9,5)
General formula
y - y₁ = m(x - x₁)

Input the number to the formula
y - y₁ = m(x - x₁)
y - 5 = 1/3(x - (-9))
y - 5 = 1/3 (x + 9)
y - 5 = (1/3)x + 3
y = (1/3)x + 3 + 5
y = (1/3)x + 8

The equation is y = (1/3)x + 8
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5+5= 10
10 time 9b is 90b
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Simplify.<br><br> 4−16÷4+42<br><br> −16<br> 13<br> 15<br> 16<br>PLEASE HELP
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Answer:

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Step-by-step explanation:

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Two birds sit at the top of two different trees. The distance between the first bird and a bird-watcher on the ground is 14.1 fe
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Use the trig ratio which gives you the most information. Here we have opposite and hypotenuse relative to angle x, so think sin( x ) = 14.1 / 27.9<span>Now we want to solve for x, but x is stuck inside the sine function
So how do we do this?
We can 'undo' the sine function by using the inverse sine. apply the inverse Sin to both sides of the equation.
sin^-1 ( sin(x) ) = sin^-1 ( 14.1 / 27.9)
the left side 'cancels' , leaving you with x
x = sin^-1 ( 14.1 / 27.9)</span><span>Now you need a calculator.
Make sure you are in degree mode.
Calculators can give you answer in radian or degree.
If you get a decimal answer, you are probably in radian mode.
Round up if you want nearest hundredth
30.3563 ≈ 30.36
Round up again if you want nearest tenth
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The sum of a number and eight is doubled. the result is 12 more than the number.
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