Step-by-step explanation:
soln;
given; p(x) = x^4 - 3x^3 - 6x^2 + 9
using remainder theorem;
p(x) = p(a)
= p(2)
= (2)^4 - 3(2)^3 - 6(2)^2 + 9
= -23
Answer:
x-y
Step-by-step explanation:
when you subtract (-2x-8y)-(-3x-7y)
you have to distribute that negative onto -3x-7y which turns it positive
which results in -2x-8y+3x+7y
simplified to x-y
P=2 (l+w)
we know P=284
we also know that l= w+50
so replace l in the equation with w+50
284=2 (w+50+w)
284=2 (2w+50)
divide both sides by 2
142=2w+50
subtract 50 on both sides
98=2w
divide both sides by 2
49=w
so width is 49, and we need to add 50 to it to find the length
l= 49 +50
l=99
Answer:
The measure of arc BD is 147°
Step-by-step explanation:
we know that
If segment AB is perpendicular to segment CD
then
The measure of the inner angle CPA is a right angle (90 degrees)
Remember that
The measure of the inner angle is the semi-sum of the arcs comprising it and its opposite.
so
m∠CPA=(1/2)[arc AC+arc BD]
substitute the given values
90°=(1/2)[33°+arc BD]
180°=33°+arc BD
arc BD=180°-33°=147°
Factor out the greatest perfect root factor The root of a product is equal to the product of the roots of each factor Reduce the index of the radical and exponent with 4 = 0.00380546