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Salsk061 [2.6K]
3 years ago
12

Three ballet dancers are positioned on stage. Luca is straight behind Seth and directly left of

Mathematics
1 answer:
Sidana [21]3 years ago
3 0

Answer:

8 feet apart

Step-by-step explanation:

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The table shows how much a store charges for certain numbers of pencils. Number of pencils (p) Cost (c) 4 $0.72 7 $1.26 12 $2.16
Arada [10]
Find the rate of change, (y2-y1)/(x2-x1), from the data given...

(2.16-1.26)/(12-7)=0.18

(1.26-0.72)/(7-4)=0.18

Since the rate is constant, this is a linear equation of the form y=mx+b.  Furthermore, since 0 pencils cost 0, b=0, so the cost of the pencils is simply the number of pencils times 18 cents...

c(p)=0.18p  (cost with respect to pencils is 0.18 times the number of pencils)
7 0
3 years ago
(50 points) A diameter of a circle has endpoints P(-10, -2) and Q(4,6)
Gala2k [10]

Answer:

Step-by-step explanation:

The center of the circle is the midpoint of the two end points of the diameter.

Formula

Center = (x2 + x1)/2 , (y2 + y1)/2

Givens

x2 = 4

x1 = - 10

y2 = 6

y1 = - 2

Solution

Center = (4 - 10)/2, (6 - 2)/2

Center = -6/2 , 4/2

Center = - 3 , 2

So far what you have is

(x+3)^2 + (y - 2)^2 = r^2

Now you have to find the radius.

You can use either of the endpoints to find the radius.

find the distance from (4,6) to (-3,2)

r^2 = ( (x2 - x1)^2 + (y2 - y1)^2 )

x2 = 4

x1 = -3

y2 = 6

y1 = 2

r^2 = ( (4 - -3)^2 + (6 - 2)^2 )

r^2 = ( (7)^2 + 4^2)

r^2 = ( 49 + 16)

r^2 = 65

Ultimate formula is

(x+3)^2 + (y - 2)^2 = 65

The radius is √65 = 8.06

8 0
3 years ago
If f(x) is an antiderivative of g(x), and g(x) is an antiderivative of h(x), then
Goryan [66]
If f(x) is an anti-derivative of g(x), then g(x) is the derivative of f(x). Similarly, if g(x) is the anti-derivative of h(x), then h(x) must be the derivative of g(x). Therefore, h(x) must be the second derivative of f(x); this is the same as choice A. 

I hope this helps.
7 0
3 years ago
A hot air balloon rose from a height of 100 m to 400 m in 3 minutes. What was the balloon’s rate of change?
maria [59]

Answer:

1.666666667 meter per sec^2

Step-by-step explanation:

I feel like this is physic

using acceleration formla Vf-Vi/t

so 400-100/180sec

300/180

1.666666667 meter per sec^2

Hey  im still learning tell me if you feel like im wrong OwO

7 0
3 years ago
A bag contains 25 balls 20 of which are blue what percentage of balls are not blue
Artist 52 [7]

Answer:

20%

Step-by-step explanation:

20/25 = blue

This means 5/25 of the balls in the bag are NOT blue

(25-20 = 5)

We need to convert 5/25 to a percentage

\dfrac{5}{25} = \dfrac{5\times4}{25\times4}=\dfrac{20}{100}

% = per cent

"per" means "out of"

"cent" means "one hundred"

so

20/100 = 20%

7 0
1 year ago
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