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velikii [3]
3 years ago
5

Write an equation of the line that passes through (4,2) and is perpendicular to the line y=−13x+1.

Mathematics
1 answer:
7nadin3 [17]3 years ago
4 0

Answer:

y=x-2

Step-by-step explanation:

This slope goes through the point and is perpendicular to y=-13x+1

Hope this helped

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What is the slope of the line that contains the points (7, -1) and (-2, -4)?
grigory [225]

Answer:

1/3

Step-by-step explanation:

Alright, so in this you want to use the slope formula: m=y2-y1/x2-x1. You plug the coordinates of the points into the formula to get the slope. (x1,y1) (x2,y2). So in this problem, 7 is x1, -1 is y1, -2 is x2, -4 is y2. So using the formula, you plug in y2 minus y1, divided by x2 minus x1.

So m (the slope) = -4- (-1) divided by -2-7.

2 negatives make a positive, so -4 + 1 is -3. -2-7 becomes -9. So this is now -3/-9. Again, 2 negatives make a positive, so this is now 3/9. Simplify and the answer is positive 1/3. Hope this helps!

6 0
3 years ago
Which values of x in the interval 0 x 360 satisfy the equation 2sin^2x+sinx-1=0?
Temka [501]
Factor first: (sinx+1)(2sinx-1)=0
sinx+1=0 or 2sinx-1=0
sinx=-1 or sinx=1/2
0≤x≤360, so x=270,  or x=30 or x=150
4 0
3 years ago
Write an algebraic equation to represent the situation.
KatRina [158]

3(x+1) = regular cheese burger

6 0
3 years ago
2(x+6)<10 solve for x and inequality
Crazy boy [7]

Answer:

x<-1

Step-by-step explanation:

2(x+6)<10

Distribute 2x+12<10

Subtract 12 2x<-2

Divide 2 x<-1

4 0
3 years ago
A repair bill for your car is $553. The parts cost $265. The labor cost is $48 per hour. Write and solve an equation to find the
Lilit [14]

Answer:

6 hours

Step-by-step explanation:

Let the labor hours be x.

The bill comprises of parts cost plus labor cost. Labor cost is hours times the cost per hour. Then we have equation:

  • 265 + 48x = 553
  • 48x = 553 - 265
  • 48x = 288
  • x = 288/48
  • x= 6

So the answer is 6 hours.

4 0
3 years ago
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