Answer: y=-(1/8)x+(21/2)
Explanation:
The new equation’s slope needs to be perpendicular to y=8x-1
To get the new slope, we take the negative reciprocal of the slope from above
8 —> -1/8
Now we have y=-(1/8)x+b but it needs to pass through (4,10), so we need to find the value of b that makes this possible.
Since (4,10) is in the form of (x,y) we can plug in these values into the new equation to solve for b:
y=-(1/8)x+b
10=-(1/8)4+b
10=(-1/2)+b
b=(21/2)
Now put b back into the new equation
y=-(1/8)x+b
y=-(1/8)x+(21/2)
Answer:
(1.5,1)
Step-by-step explanation:
The midpoint of G and H is at (2,2).
The midpoint if J and K is (1,0)
The midpoint of the two midpoints is (1.5,1)
You could also i.e. directly ask for the midpoint of H an K, OR, G and J, and you would get the same final result.
3 goes into 96 32 times, so 96/3=32. There is no decimal (unless you insist on including one, then it'd be 32.0) because 3 goes into 96 perfectly.