From the markings and lines, we can tell this is an equilateral triangle. Since it is an equilateral triangle, we know that each angle is 60°.
Using this information, we can make and solve an equation:
8y - 4 = 60° <em>(we know that it is equal to 60°, since it is an equilateral triangle)</em>8y = 64° <em>(we added both sides by 4 to get the y's alone on one side)</em>y = 8° <em>(we divide both sides by 8 to find out what just y is)</em>-------------------------------------------------------------------------------------------------------------Answer:
So y is equal to 8°
Answer:
7y4
Step-by-step explanation:
7 is the highest number that can go into all three numbers
Answer:
(x2 + 5)(3x2 - 2)
Step-by-step explanation:
x2(3x2 - 2) +5 (3x2 - 2)
=(x2 + 5)(3x2 - 2)
Answers:
So the solution is (x,y) = (4, -1)
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Work Shown:
6x + 7y = 17
6x + 7( y ) = 17
6x + 7( -3x+11 ) = 17 ... replace every copy of y with -3x+11
6x - 21x + 77 = 17
-15x = 17-77
-15x = -60
x = -60/(-15)
x = 4
We'll use this x value to find y
y = -3x+11
y = -3(4)+11 ... replace x with 4
y = -12+11
y = -1
We have x = 4 and y = -1 pair up together to give us the solution (x,y) = (4, -1)
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To check the solution, we plug x = 4 and y = -1 into each equation
Plugging the values into the first equation leads to...
y = -3x+11
-1 = -3(4)+11
-1 = -1
This is effectively already done in the last part of the previous section. But it doesn't hurt to verify like this regardless.
We'll need to verify the second equation as well.
6x + 7y = 17
6(4) + 7(-1) = 17
24 - 7 = 17
17 = 17
We get a true equation, so the solution is confirmed with both equations. Overall, the solution to the system of equations is confirmed. This system is independent and consistent.