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umka21 [38]
3 years ago
13

5x+2y=-4 -x+2y=8 Solve the system

Mathematics
1 answer:
maria [59]3 years ago
6 0
Subtract the second equation from the first.
.. (5x +2y) -(-x +2y) = (-4) -(8)
.. 6x = -12
.. x = -2

.. -(-2) +2y = 8
.. 2y = 6
.. y = 3

The solution is (x, y) = (-2, 3).

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How to find the area of a segment of a circle if r=8 and central angle =120 degrees. Please explain clearly and thoroughly. Will
bekas [8.4K]
First you need to find the area of the circle, which is πr^2
With a radius of 8 inches, the area of the circle will be π*8^2 or 64π.
Next you want to find the area of the 120 degree section of that circle.
120 degrees is 1/3 of a circle, so all you have to do next is multiply the are of the circle by 1/3 (because 360/120= 1/3).
(1/3)(64π) --> All you really have to do here is multiply 64 by 1/3 or divide it by 3 (because to divide by a number is the same a multiplying by it's reciprocal) so you get (64/3)(π).
64/3 is 21 and 1/3 or 21.333..., so however you choose to write it, I will leave the answer as (64/3)π squared inches.
5 0
3 years ago
3x-y=5 write the linear equation in slope-intercept form given
maxonik [38]

Answer:

y = -3x - 5

Step-by-step explanation:

3x - y = 5

+3x      +3x

-1y = 3x + 5

----  -----   -----

-1       -1     -1

y = -3x - 5


6 0
3 years ago
Paul has two label-printing machines. Each machine can print 30 labels per minute. On day 1, only the first machine was used, an
Paraphin [41]
90+30x+30y. This is because the first day, 90 labels were printed, then you will use 30 times x to find how many minutes. This is the same for 30 times y. Youre trying to figure out how many minutes each machine printed for.
4 0
3 years ago
Find the circumference of the figure.
shtirl [24]

Answer:

About 23.9 in

Step-by-step explanation:

We are given ;

a circle whose radius is 3.8 inches

we are required to determine the circumference

The circumference is given by the formula;

=2πr

Therefore;

Circumference = 2×3.14×3.8 in

                       =23.864 in

                      = 23.9 in

Therefore, the circumference of the figure is about 23.9 in

4 0
3 years ago
Item 56
masha68 [24]

Answer:

a 25 questions, 4 points   b 19 questions

Step-by-step explanation:

a 96:100 = 24 : x

x = (100 x 24)/96 = 25 questions

100 : 25 = 4 points

b 76:100 = x : 25

x = (76 x 25)/100 = 19 questions

6 0
3 years ago
Read 2 more answers
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