Answer:
(-4,2)
Step-by-step explanation:
First we have to find a common multiple to use to add and find the system of equations. We need to eliminate one of the variables in order to solve.
Since 5 * 3 = 15, and 3 * -5 = 15, -15x and 15x will cancel each other out. Therefore x will be eliminated.
Before:
5x + 2y = -16
3x + 7y = 2
After:
15x + 6y = -48 <----------Now we solve for y
-15x + -35y = -10
+----------------------
-29y = -58
-29 -29
y = 2
Now what we do is we choose and equation and solve for x, since it is still unknown. Any equation is fine but I will choose the second one since it has easy numbers.
3x + 7y = 2
3x + 7(2) = 2
3x + 14 = 2
-14 -14
----------------------
3x = -12
3 3
x = -4
Therefore our final answer is (-4,2)
You need to find what 3 is if 5 is $520,000
$520,000 divided by 5 = 104,000
104,000 x 3 = 312,000
Therefore 3 is 312,000
Hope this helps :3
2x + 8.....factor = 2(x + 4)
Answer:
cos ∅ = 80/89
Step-by-step explanation:
As required from the question the picture below represent a triangle UVW . The angle W = 90°. The sides WV = 39 , VU = 89 and UW = 80. The triangle forms a right angle triangle .
Such triangle one can establish trigonometric relationship using the SOHCAHTOA principle.
The question requested us to find the ratio that represent the cosine of ∠U.
The ∠U is represented as ∅ .
Therefore,
cos ∅ = adjacent/hypotenuse
adjacent = 80. The adjacent side is the non hypotenuse side that is next to the given angle.
hypotenuse = 89 . Hypotenuse is the longest side of a right angle triangle and it opposite the right angle.
cos ∅ = adjacent/hypotenuse
cos ∅ = 80/89