By long division.Feel free to ask me if you don't know: )
Let r be the lesser root and r^2 be the greater.......the sum of the roots = -b/a = -[-6] / 1 = 6
So we have that
r^2 + r = 6 → r^2 + r - 6 = 0
Factor
(r + 3) (r - 2) = 0
So r = -3 or r = 2
Then r^2 = 9 or r^2 =4
And the product of the roots = c/a = k/a = k
So....k = (-3)(9) = -27 or k = (2)(4) = 8
Check
x^2 - 6x - 27 = 0 factors as (x + 3)(x - 9) = 0 and the roots are -3 and 9
x^2 - 6x + 8 = 0 factors as (x -2) (x - 4) =0 and the roots are 2 and 4
Answer:
<em>There are 364,000 people in the Air Force.</em>
Step-by-step explanation:
<u>Percentages</u>
The N% of a number M is calculated by:
For example, 15% of 280 is
We know the total amount of people serving as of January is estimated to be 1,400,000 people and that 26% of them are serving in the Air Force.
Compute 26% of 1,400,000:
There are 364,000 people in the Air Force.
Answer:
m∠SWX=39°, and m∠VWY=51°
Step-by-step explanation:
∠XWU and ∠VWY are vertical angles. Vertical angles are congruent.
∠XWU=∠VWY
we are given ∠XWU=(7x+2)° and ∠VWY=(4x+23)°, so:
7x+2=4x+23
3x+2=23
3x=21
x=7
Now substitute x for 7 in both expressions to get the measures of the angles.
∠XWU=(7(7)+2)°=(49+2)°=51°
∠VWY is also 51° because it is congruent to ∠XWU, but just to make sure:
∠VWY=(4(7)+23)°=(28+23)°=51°
we also need ∠SWX. We can see it makes a right angle with ∠XWU, so their sum is 90°.
∠SWX+51=90
∠SWX=39°
