Factor 16 and see the - factor pairs and add them, see which add to -12
-1-16=-17 nope
-2-8=-10 nope
-4-4=-8
hmm
we will solve with math
xy=16
x+y=-12
minus x both sides
y=-12-x
sub for y in other equation
x(-12-x)=16
-12x-x^2=16
add 12x+x^2 both sides
0=x^2+12x+16
use quadratic formula
if you have
ax^2+bx+c=0
x=
![\frac{-b+/- \sqrt{b^{2}-4ac} }{2a}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-b%2B%2F-%20%5Csqrt%7Bb%5E%7B2%7D-4ac%7D%20%7D%7B2a%7D%20)
0=x^2+12x+16
a=1
b=12
c=16
x=
![\frac{-12+/- \sqrt{12^{2}-4(1)(16) }}{2(1)}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-12%2B%2F-%20%5Csqrt%7B12%5E%7B2%7D-4%281%29%2816%29%20%7D%7D%7B2%281%29%7D%20)
x=
![\frac{-12+/- \sqrt{144-64 }}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-12%2B%2F-%20%5Csqrt%7B144-64%20%7D%7D%7B2%7D%20)
x=
![\frac{-12+/- \sqrt{80}}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-12%2B%2F-%20%5Csqrt%7B80%7D%7D%7B2%7D%20)
x=
![\frac{-12+/- 4\sqrt{5}}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-12%2B%2F-%204%5Csqrt%7B5%7D%7D%7B2%7D%20)
x=
![\frac{-6+/- 2\sqrt{5}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-6%2B%2F-%202%5Csqrt%7B5%7D%20)
x=
![\frac{-6+ 2\sqrt{5}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-6%2B%202%5Csqrt%7B5%7D%20)
or
![\frac{-6- 2\sqrt{5}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-6-%202%5Csqrt%7B5%7D%20)
aprox
x=-1.52786 or -10.4721
those are the numbers
the numbes are -1.52786 or -10.4721
V=πr^2h/3=π·3^2·11.5/3≈108.38495 or 108.40 rounded
The answers would be 24 and 52 hope this helped!
Answer:
y = - 2x -10
Step-by-step explanation:
y = -2x + 1 Slope , m = -2 parallel slope is the same
point slope form of new line
(y - -4)= -2 ( x - -3)
<u>y = -2x -10 </u>