Step-by-step explanation:
a) gradient= y2-y1/x2-x1
gradient of AB:
gradient=-4-1/2-3
=-5/-1
=5
gradient of BC:
=-5+4/7-2
=-1/5
b) as the priduct of both gradient is -1 ,both lines are perpendicular.
c) as we have seen lines are perpendicular so it is a right angled triangle.
M^3 + 9m =
There is a common factor of m.
= m(m^2 + 9)
That is the complete factorization.
m^2 + 9 is a sum of two squares which is not factorable.
Answer: m(m^2 + 9)
X^2 - 13 x = -36
add 36 to both sides
x^2 - 13x +36 = 0
figure out the factor
(x-4)(x-9) = 0
so (x-4) or (x-9) equals 0
so solution is
x-4=0 add 4 to both sides and get x = 4
x-9=0 add 9 to both sides and get x=9
x={ 4, 9}
A. The slope is 25 and it is the rate of change per month. You will pay this additional amount if you go to the gym every month.
b. The y-intercept is 50. This amount is the constant and does not change since it is a one time fee for the year.
Answer: b)
Step-by-step explanation:
3^3 is equal to 27 exactly, but it asks for an approximate. 27.55 is near 27 so yea, there ya go ^
