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harina [27]
3 years ago
6

Write an equation in slope-intercept line form form for the line perpendicular to 2x-3y=12 that passes through the point (8,5)

Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
8 0

Answer:

3x+2y=34

Step-by-step explanation:

L1: 2x-3y=12 => the slope m1=-2/(-3)=2/3

L2 perpendicular to L1 => m2= -1/m1=  -3/2

the point A(8,5) ∈ L2

=> y–yA=m2(x–xA)

L2: y-5=-3/2 *(x-8)

L2: 2y-10=-3x+24

L2: 3x+2y=34

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Zac spends 30% of his monthly income on rent. If he pays $810 for rent each month, what is his
larisa [96]

Answer:

$2,700

Step-by-step explanation:

810/30=27

27*100=2700

Check your work:

2700*.3=810

7 0
3 years ago
A right cylinder has a radius of 2 units and a height of 5
erica [24]

Answer:

62.8

Step-by-step explanation:

The volume of the cylinder is = base * height

base=Pi*radius*radius, where

base=3.1416*2*2 , height=5

Volume=3.1416*2*2*5

Volume =62.8 cubic units.

6 0
3 years ago
Read 2 more answers
Michael has a fish tank that has a length of 7 inches,a width of 6 inches and a height of 8 inches. What is the total surface ar
White raven [17]

Answer:

292 inches^2

Step-by-step explanation:

So to start off this is a picture of the fish tank.

Next we will find the area of the bottom and top rectangles.

The side lenghts for those two is 7 and 8.

So the area of one is 56 and the area of 2 is 112 inches^2.

Now we will find the area of the left and right rectangles.

The side lenghts are 6 and 8.

So the area of 2 is 96 inches^2.

Now for the front and back rectangles.

The side lenghts for those two are 6 and 7.

So the area of both is 84 inches^2.

So after adding all the areas up the surface area is 292 inches^2.

6 0
3 years ago
Need a little help!
zhenek [66]
Answer = 7234.6 cm cu.
Reason
Volume of sphere
V= 4/3 x TT x r^3
V = 4/3 x 3.14 x 12^3
V= 7234.56
Rounded to 7234.6
5 0
2 years ago
4k + 15 greater than -2k + 3
ioda

Answer:

k>-2

Step-by-step explanation:

4k+15>-2k+3

4k-(-2k)+15>3

4k+2k+15>3

6k+15>3

6k>3-15

6k>-12

k>-12/6

k>-2

8 0
3 years ago
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