Step-by-step explanation:
Since 
varies directly as 
we can write the relation as
where k is the constant of proportionality.
a) To solve for the k, we substitute the given values:
b) The equation relation x and y can be written as
c) When y = 9,
It is just asking to find the sum of interior angles
So follow this rule 180(n-2)
180(5-2)
180(3)= 540
So in another words: a+b+c+d+e=540
Answer:
Here's what we know:
A = Lw (Area is length times width)
L = 2w + 6 (length is twice the width plus 6)
A = 140 (Area is 140 m2)
Plug in the variable values:
140 = w(2w + 6)
Distribute:
140 = 2w2 + 6w
Subtract 140:
2w2 + 6w - 140 = 0
Factor out a 2:
2(w2 + 3w - 70) = 0
Divide both sides by 2:
w2 + 3w - 70 = 0
(w + m)(w - n)
When we factor out the quadratic, we know it's going to be a +/- situation because the c value in the quadratic is negative, and the two numbers are going to be three away, the plus next to the 3 meaning that the larger number is going to be positive:
(w + 10)(w - 7) = 0
w = -10, 7
We can't have a negative length, so we can toss out the -10, leaving us with w = 7 meters.
L = 2 * 7 + 6
L = 14 + 6
L = 20
Check:
140 = 20 * 7
140 = 140
Answer:
x= - 1
y= 1
Step-by-step explanation:
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