The easiest way to solve this problem is by using the Pythagorean theorem :D
Pythagorean theorem: [-b +- sqrt(b^2 - 4ac)]/2a
5 = a
-1 = b
6 = c
therefore, by plugging these values in!
[-(-1) +- sqrt((-1)^2 - 4(5)(6))]/2(5)
[1 +- sqrt(1 - 120)]/10
Oh so we're using imaginary numbers, so in this case you'll need to know that i = sqrt(-1), so keep this in mind (I can see why this was so difficult)
[1 +- sqrt(119)*i]10
answers:
( 1 + i*sqrt(119) ) / 10
( 1 - i*sqrt(119) ) / 10
Answer:
Step-by-step explanation:
-6=3/2z
-12z=3
z=-4
Answer:
angle DFG = 49 degrees
angle JKL = 41 degrees
Step-by-step explanation:
When angles are complementary with each other, it means that if you add both of the angles up, it adds up to 90 degrees.
In this question, you would have to add up angle DFG and angle JKL and find the x that makes the equation equal to 90 degrees.
angle DFG = x + 5
angle JKL = x - 3
(x + 5) + (x - 3) = 90
2x + 2 = 90
2x = 90 - 2
2x = 88
x = 44
But since we have to find out the angle measures, we have to the "x = 44" with the x's in the DFG and JKL angles.
DFG = (44) + 5 = 49
JKL = (44) - 3 = 41
Answer:
(1,-6)
Step-by-step explanation:
4x - y = 10
4x -(-6) = 10
4x + 6 = 10
- 6 - 6
4x = 4
/4 /4
x = 1
(x, y) -> (1,-6)
Check your answer:
4x - y = 10
4(1) - (-6) = 10
4 + 6 = 10
10 = 10
This statement is correct
Hope this helps!
Answer:
37.5%
Step-by-step explanation:
If you take 6 and divide it by 16, you will get 0.375. You then have to move the decimal two places to the left to get the percentage.
