1x+3y=8
3x+2y=10
solve
multiply first equation by -3 and add to 2nd equation
-3x-9y=-24
<u>3x+2y=10 +</u>
0x-7y=-14
-7y=-14
divide by -7 both sides
y=2
sub back
x+3y=8
x+3(2)=8
x+6=8
minus 6
x=2
wow
both juices cost $2 per gallon
Answer:
The exact volume of a cone is 10 yd³.
Step-by-step explanation:
Given:
Height of cone (h) is 6 yd and base (b) is 5 yd.
Now, to get the volume we need to find the radius.
So, to find radius we put the formula of base:
Let the radius be
Base=


Dividing both sides by π and using square root on both the sides:




Now, putting the formula for getting the volume (v) of cone:
Volume = 


Substituting the value of
from equation (1), we get:

yd³
Volume of cone is 10 yd³
Therefore, the exact volume of a cone is 10 yd³.
Answer:
x³ − x² + 9x − 9 = 0
Step-by-step explanation:
Imaginary roots come in conjugate pairs. So if 3i is a root, then -3i is also a root.
(x − 1) (x − 3i) (x − (-3i)) = 0
(x − 1) (x − 3i) (x + 3i) = 0
(x − 1) (x² − 9i²) = 0
(x − 1) (x² + 9) = 0
x (x² + 9) − (x² + 9) = 0
x³ + 9x − x² − 9 = 0
x³ − x² + 9x − 9 = 0