Answer:
<u>The solution of this system of equation is ( 3, - 8)</u>
Step-by-step explanation:
1. Let's solve the system of equations:
First equation:
x + 2y = - 13
x = - 13 - 2y
Second equation:
12x + 5y = -4
12 * (- 13 - 2y) + 5y = - 4 (Replacing x with - 13 - 2y)
-156 -24y + 5y = - 4
-24y + 5y = - 4 + 156 (Like terms)
-19y = 152
y = - 152/19
<u>y = -8</u> (Dividing by 19)
Solving x
x + 2y = -13
x + 2 (- 8 ) = - 13
x - 16 = - 13
x = - 13 + 16
<u>x = 3</u>
2. Proving that x = 3 and y = - 8 are correct:
12x + 5y = -4
12 * 3 + 5 * -8 = -4
36 - 40 = - 4
- 4 = - 4
<u>We proved that x = 3 and y = - 8 are correct</u>
What number do you need help with
The answer for the product is D) 2X10^5
As a decimal it is 0.2285714
THE NUMBERS AFTER THE DECIMAL NEED A LINE OVER THEM. They keep repeating themselves. Have a good one babes.
In order to use the Law of Sines, EF has to be the included side. Therefore, we need to calculate angle F which is 72 degrees.
side f / sine (F) = side d / sine (D)
side f / sine (72) = side 24 / sine (45)
side f = sine (72) * 24 / sine (45)
side f = 0.95106 * 24 / .70711
side f (DE) =
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32.2798998741
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answer is C
