Answer:
y = Five-sixths x – 12
Step-by-step explanation:
In the picture attached, the given line is shown. Its slope is:
m = [6 - (-4)]/[12 - 0] = 5/6
The line that is parallel to the given line has the same slope.
A line with slope m that pass through (x1, y1) satisfies:
y - y1 = m(x - x1)
Replacing with m = 5/6 and point (12, -2):
y - (-2) = 5/6(x - 12)
y + 2 = 5/6x - 10
y = 5/6x - 10 - 2
y = 5/6x - 12
4 x 1/5 is 4/5 so it is not that one. 1/5+1/5+1/5+1/5 equals 4/5 so it is not that one. 2 x 2/5 is 4/5 so it is not that one.
2+2/5 is 12/5 so this expression does not equal 4/5
Answer:
4) p=b(1/2)
6) y=50+25h
Step-by-step explanation:
Let me know if you need an explanation!
Answer:
1. n=2
2. n=12
3. n=2
Step-by-step explanation:
1
12xy³/4xⁿy=3y²/x
12x²y³=12y³xⁿ (cross multiplied)
x²=xⁿ (cancelled out (12y³))
2=n
2
(-3a/2b⁴)³=-27a³/8bⁿ
-27a³/8b¹²=-27a³/8bⁿ (cubed left side)
-216a³bⁿ =-216a³b¹² (cross multiplied)
bⁿ=b¹² (cancelled out (-216a³))
n=12
3
(xy⁶/x⁵yⁿ)²=y⁸/x⁸
x²y¹²/x¹⁰y²ⁿ=y⁸/x⁸ (squared left side)
x²y¹²/x¹⁰y²yⁿ=y⁸/x⁸
y¹⁰/x⁸yⁿ=y⁸/x⁸ (simplified)
y¹⁰x⁸=x⁸yⁿy⁸ (cross multiplied)
y²=yⁿ (cancelled out (x⁸), simplified)
n=2
Answer:
-6
Step-by-step explanation:
If the square root of a number is 6, then the number must be 36 (6*6=36)
However, negatives*negatives also equal positives, so
-6*-6 also =36
hence, your answer should be -6