Answer:
72 gallons
Step-by-step explanation:
we know that
19 units represent 228 gallons
so
using proportion
Find out how many gallons represent 6 units
Let
x ---> the number of gallons for 6 units
What is the solution set of x2 + y2 = 26 and x − y = 6? A. {(5, -1), (-5, 1)} B. {(1, 5), (5, 1)} C. {(-1, 5), (1, -5)} D. {(5,
Rus_ich [418]
He two equations given are
x^2 + y^2 = 26
And
x - y = 6
x = y +6
Putting the value of x from the second equation to the first equation, we get
x^2 + y^2 = 26
(y + 6) ^2 + y^2 = 26
y^2 + 12y + 36 + y^2 = 26
2y^2 + 12y + 36 - 26 = 0
2y^2 + 12y + 10 = 0
y^2 + 6y + 5 = 0
y^2 + y + 5y + 5 = 0
y(y + 1) + 5 ( y + 1) = 0
(y + 1)(y + 5) = 0
Then
y + 1 = 0
y = -1
so x - y = 6
x + 1 = 6
x = 5
Or
y + 5 = 0
y = - 5
Again x = 1
So the solutions would be (-1, 5), (1 , -5). The correct option is option "C".
Answer: x = 2 Hope this helps, please consider making me Brainliest.
Step-by-step explanation:
Let's solve for x:
4x + 6 + 2x = 18
4x + 2x = 12
6x = 12
x = 2
Hope this helps, please consider making me Brainliest.
Answer:
= 10x² + 9x³
Step-by-step explanation:
I'm assuming you mean question 19
3x² + 5x³ + 7x² + 4x³ (rearrange to group like terms)
=3x² + 7x² + 5x³ + 4x³ (factor out common powers)
= (3+7)x² + (5+4)x³
= 10x² + 9x³
