Step-by-step explanation:
Lets first find the remainder when p(x) is divided by x-2
p(2)=2(2)³+b(2)²+3(2)-5
p(2)=16+4b+6-5
p(2)=4b+17
Now let's find the remainder when q(x) is divided by x-2
q(2)=(2)³+(2)²-4(2)-b
q(2)=8+4-8-b
q(2)=4-b
Now let's equate both of them
4b+17=4-b
4b+b=4-17
5b=-13
b=-13/5 as required
Answer:
7over9 or -7over9
Step-by-step explanation:
81x power 2 - 8 = 41
(left side) (right side)
first we let the 8 from left side go to the right side,so it will be +8:
81x power 2 = 41+ 8
=49
so now we let the 81 from left side go to right side, so it will be ÷81:
x power 2= 49 over 81
and now we let the power 2 (square) go to the other side so it will become square root:
x = + - √49 over 81
at the end, you will get 2 answers which is 7 over 9 and - 7 over 9
Answer:
30 belongs to the set of real numbers, the set of rational numbers, the set of whole numbers, the set of natural numbers and the set of integers.
Step-by-step explanation:
First, let's re-arrange to slope-intercept form.
x + 8y = 27
Subtract 'x' to both sides:
8y = -x + 27
Divide 8 to both sides:
y = -1/8x + 3.375
So the slope of this line is -1/8, to find the slope that is perpendicular to this, we multiply it by -1 and flip it. -1/8 * -1 = 1/8, flipping it will give us 8/1 or 8.
So the slope of the perpendicular line will be 8.
Now we can plug this into point-slope form along with the point given.
y - y1 = m(x - x1)
y - 5 = 8(x + 5)
y - 5 = 8x + 40
y = 8x + 45
