<em><u>Answer is 5, 6, & 7</u></em>
x = smallest number
y = x + 1
z = x + 2
(x)(y) = z^2 - 19
(x)(x+1) = (x + 2)^2 - 19
(x^2 + x) = (x^2 + 4x + 4) - 19
x^2 + x = x^2 + 4x + 4 - 19
x^2 term drops out from both sides
x = 4x + -15
15 = 4x - x
15 = 3x
15/3 = x
x = 5
y = x + 1 = 6
z = x + 2 = 7
Confirm by substituting back in for the variables:
(x)(y) = z^2 - 19
(5)(6) = (7)^2 - 19
30 = 49 - 19
30 = 30 <em><u>[OK]</u></em>
Answer:
x is 2
Step-by-step explanation:
Set up a system of equations using the sum and difference equation.
x + y = 180 <em>definition of supplementary angles</em>
+ <u>x - y = 35</u>
2x = 215
x = 107.5
x + y = 180 ⇒ 107.5 + y = 180 ⇒ y = 72.5
Answer: 107.5 and 72.5
distance between directrix and focus is 2p
We know that 8 times 2 is 16 so all you have to do it switch the problem around so that means y=16
