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2 years ago

Write an equation of the line that passes the points (-9,2) and is perpendicular to the line y=3x-12

1 answer:

8 0

If I’m correct use the slope −13 - 1 3 and a given point (−9,2) ( - 9 , 2 ) to substitute for x1 x 1 and y1 y 1 in the point-slope form y−y1=m(x−x1) y - y 1 = m ( x - x 1 ) , which is derived from the slope equation m=y2−y1x2−x1 m = y 2 - y 1 x 2 - x 1 .

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Can somebody help me with this. Please see the attachment.

mr_godi [17]

<h3>Answer:</h3>

<h3>Step-by-step explanation:</h3>

Let x represent the distance OC. Then CD = x+2, and DP = 16-x. The radius of circle P is ...

... CD +DP = (x+2) +(16-x) = 18

The radius of circle O is ..

... OC + CD = (x) + (x +2) = 2x+2

The length OP is ...

... OC + CP = (x) + (18) = x+18.

Now, the perimeter of ΔAOP is ...

... radius of circle O + radius of circle P + OP = 80

... = (2x+2) + 18 + (x+18) = 3x+38 = 80

Then x is ...

... x = (80 -38)/3 = 14

and the radius of circle O is

... 2x +2 = 2·14 +2 = 30

The desired sum is ...

... OB + BP = (radius of circle O) + (radius of circle P) = 30 + 18

... OB + BP = 48

6 0

3 years ago

7. Is y = x - 4 a linear function?

LekaFEV [45]

Answer:

yes it is cause it has a slope and stuff

5 0

2 years ago

Read 2 more answers

The oblique pyramid has a square base. What is the volume of the pyramid? 2.5 cm3 5 cm3 6 cm3 7.5 cm3

Olenka [21]

Take a look at the attachment below. It fills in for the attachment that wasn't provided in the question -

An oblique pyramid is one that has a top not aligned with the base. Due to this, the height of the pyramid connects with two vertices at its ends to form a right angle present outside the pyramid, knowing that it is always perpendicular to the base. There is no difference between the calculations of the volume of an oblique pyramid and a pyramid however -

$\\Base Area = 2 cm * 2 cm = 4 cm^2,\\Volume ( Pyramid ) = 1 / 3 * ( Base Area ) * ( Height ),\\Volume = 1 / 3 * ( 4 ) * ( 3.75 ),\\-------------------------\\Volume = 5 cm^3$

<u><em>And thus, you're solution is 5 cm^3, or in other words option b!</em></u>

3 0

2 years ago

Find the area of the rectangle.<br> (8x + 5) yards<br> (8x - 5) yards

Zepler [3.9K]

Answer:

48x-5

Step-by-step explanation:

multiply

5*8x

to get

8x+40x-5

combine like term

48x-5

7 0

1 year ago

The double dot plot shows the number of points scored by Sam and Daniel in 15 games. What is the difference between their median

just olya [345]

Answer:

4.9

Step-by-step explanation:

7 0

2 years ago