Please write (x4 – 2) ÷ (x + 1) as <span>(x^4 – 2) ÷ (x + 1).
We can find the remainder using synth. div. as follows:
_________________
-1 / 1 0 0 0 -2
-1 1 -1 1
------------------------------
1 -1 1 -1 -1
The remainder is -1.</span>
400/2 = 200
200 + 20 = 220
200 - 20 = 180
Answer: He had gone 220 miles.
He was 180 miles from the finish and 220 from the start, so he was 40 miles closer to the finish than to the start.
-6+3=-3
-6-3=-9
so -3 and -9
Answer:
-4/9
Step-by-step explanation:
We first calculate the first bracket.
[2/3-(-4/9)]
= (2/3+4/9) (we cancel out the negatives)
= (6/9+4/9) (common denominator)
= 10/9
Then we convert -2 1/2 into an improper fraction.
-2 1/2
= -5/2
Finally we calculate the division by swapping the numerator and denominator of -5/2.
10/9 / -5/2
= 10/9 * -2/5
= -20/45
= -4/9 (simplify the terms)
Answer:
<u>AP = 13</u>
Step-by-step explanation:
See the attached figure.
CD = 10 and XY = 24
Line XY bisects and is perpendicular to AB and CD
∴ XY bisects at Y
∴ CY = 0.5 CD = 0.5 * 10 = 5
And from the geometry of the shape
P is the midpoint of XY
∴ XP = YP = 0.5 XY = 0.5 * 24 = 12
XY is perpendicular to CD
∴ ΔPYC is a right triangle at Y
∴ PC (hypotenuse) = 
From the figure AP = PC = 13
