Step-by-step explanation:
Answer:
a) N(1,0) M(0,-2) P(2,-3)
b) N(6,0) M(0,3) P(-3,-3)
Step-by-step explanation:
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We want to factor x²-11x+18
In order to factor it, we must find two numbers that add to -11 and multiply to 18.
We will go through the list of factors of 18:
1, 2, 3, 6, 9, 18
We see that 9 and 2 multiply to 18. But we want two numbers that add to -11, so we will simply put a negative sign in front of 9 and 2.
-9 and -2 still multiply to 18 and they add to -11, so now we can factor the expression:
x²-11x+18 = (x-2)(x-9)
Let us assume base of the window = b feet.
Height is 3 feet less than base, that is = (b-3).
Given area of the triangle = 20 feet square.
We know formula for area of a triangle:
Area = × Base × Height
Plugging values in formula, we get
20 =
Factoring quadratic, we get
=0
b+5=0
b=-5
b-8=0
b=8.
For base we can take only positive value.
<h3>Therefore, base of the triangle = 8 feet and height = 8 -3 = 5 feet.</h3>