Answer:
- We want to remove the 2 first. Since the original equation is + 2 , we're gonna use the opposite operation and subtract 2 form both sides.
- Simplify! 2 - 2 = 0 on the left and 26 - 2 = 24 on the right.
- Then we need to think about how to remove the coefficient 12 . Since the opposite of multiplication is division , we're going to divide both sides by 12.
- Simplify. 12/ 12 = 1 on the left and 24 / 12 = 2 on the right. So our answer is x = 2 .
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Answer:
Use the distance formula to determine the distance between the two points.
Distance
=
√(x2−x1)^2 + (y2−y1)^2
Substitute the actual values of the points into the distance formula.
√ ( (−6) − 0)^2 +( (−3) − 4)^2
Subtract 0 from −6
√(−6)^2 + ( ( −3 ) −4 )^2
Raise −6 to the power of 2
√36 + ( ( −3 ) −4 )^2
Subtract 4 from −3
√36 + ( −7 )^2
Raise −7 to the power of 2
√ 36 + 49
Add 36 and 49
√85
Answer:
x = 3 + 7i or x = 3 - 7i; a = 3; b = 7
Step-by-step explanation:
x^2 - 6x = -58
We complete the square by adding the square of half of the coefficient of the x-term to both sides.
x^2 - 6x + 9 = -58 + 9
(x - 3)^2 = -49
x = 3 + 7i or x = 3 - 7i
a = 3; b = 7
7x + 5 = -2
7x = -2 - 5 = -7
7x + x = -7 + x
8x = -7 + x
Add 9 to both sides
4y -9 + 9 = 15 + 9
4y = 24
Divide by 4
4y/4 = 24/4
Solution: y = 6
