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LekaFEV [45]
3 years ago
6

X-4y=-21 8y-x=45 Solve the system (X,y)=

Mathematics
1 answer:
meriva3 years ago
6 0

Answer:

\displaystyle (3, 6)

Step-by-step explanation:

{x -4y = −21

{8y - x = 45

_________

\displaystyle \frac{4y}{4} = \frac{24}{4} \\ \\

\displaystyle y = 6[Plug this back into both equations above to get the x-coordinate of 3]; \displaystyle 3 = x

I am joyous to assist you anytime.

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Keith earns $37.00 in 4 hours. How much would he earn in 11 hours?
Leona [35]

Answer:

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Step-by-step explanation:

37/4= 9.25

9.25*11 =101.75

7 0
3 years ago
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(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
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Oduvanchick [21]
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Yuliya22 [10]

Answer:

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Step-by-step explanation:

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