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Temka [501]
4 years ago
9

e given line passes through the points (−4, −3) and (4, 1). What is the equation, in point-slope form, of the line that is perpe

ndicular to the given line and passes through the point (−4, 3)
Mathematics
2 answers:
Stells [14]4 years ago
4 0
First find the slope of the two points 
The slope equation is m=y2-y1/x2-x1
m = 1 - (-3)/ 4 - (-4) = 4/8 = 1/2 

The point slope form is y-y1 = m(x-x1)
Choose any of the points, I'll choose (4,1) and plug it into the equation
y - 1 = 1/2 ( x-4 )

Now when you have a perpendicular line, its important to know the rules.
The first rule is that you have to find the reciprocal of the slope, 1/2 = 2/1 
So the slope is 2 
Now plug in the (-4,3) with the new slope found for the perpendicular line

y - 3 = 2(x+4)
Keith_Richards [23]4 years ago
3 0
Y - 3 = 2(x+4)
hope this helps!
have a good day:)
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PLEASE HELP ASAP!!!!!
Rashid [163]

mike charges 100 dollars service charge plus 65 dollars per hour.  

amy charges 40 dollars service charge plus 80 dollars per hour.  

the cost to repair from mike is 100 + 65 * x.  

the cost to repair from amy is 40 + 80 * x.  

let x = 3 and you get:  

the cost to repair from mike is 100 + 65 * 3 = 295 dollars.  

the cost to repaid from amy is 40 + 80 * 3 = 280 dollars.  

as long as the time to repair is 3 hours or less, the cost to repair will be cheaper from amy.

4 0
3 years ago
Which shows the first step in the solution to the<br> equation log₂x + log₂(x - 6) = 4?
iren [92.7K]

log was used calculate big numbers before calculators

log is a re-arranged way to show a number with an exponent

example

log₂ 16 = 4 means 2^4 = 16

logx(Z) = y means x^y=Z

log(x-6)/log(2) + log(x)/log(2) = 4

(log(x-6)+ log(x))/log(2) = 4

(log(x-6)+ log(x)) = 4log(2)

(log(x-6)x) = log(16)

x=8

6 0
2 years ago
Joseph wants to line his garden with a fence that cost $2.25 per foot. The length of the garden is 6 yards and the width is 2.5
Galina-37 [17]

Answer:

$38.25

Step-by-step explanation:

Perimeter of a rectangle = 2W + 2L

(where W is the width and L is the length)

Given:

  • width = 2.5 yd
  • length = 6 yd

⇒ perimeter = (2 x 2.5) + (2 x 6)

                     = 5 + 12

                     = 17 yd

Given:

  • cost of fence = $2.25 per foot

⇒ total cost = 17 x 2.25

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7 0
3 years ago
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What % of 40 is 15? Please put how u do it
andriy [413]

Answer:

37.5

Step-by-step explanation:

so x% of 40 is 15

the equation for that is

x/100 * 40 = 15

40x/100 = 15

multiply 100 on both sides

40x = 1500

divide 40 on both sides

37.5

37.5% of 40 is 15

6 0
3 years ago
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iragen [17]
When adding fractions you need to get common denominators then you multiply too times bottom and then boom add and there you go
8 0
3 years ago
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