Answer:
(2, - 3 )
Step-by-step explanation:
Given the 2 equations
2x - 3y = 13 → (1)
x + 2y = - 4 → (2)
Rearrange (2) expressing x in terms of y by subtracting 2y from both sides
x = - 4 - 2y → (3)
Substitute x = - 4 - 2y into (1)
2(- 4 - 2y) - 3y = 13 ← distribute and simplify left side
- 8 - 4y - 3y = 13
- 8 - 7y = 13 ( add 8 to both sides )
- 7y = 21 ( divide both sides by - 7 )
y = - 3
Substitute y = - 3 into (3) for corresponding value of x
x = - 4 - 2(- 3) = - 4 + 6 = 2
Solution is (2, - 3 )
Answer:
12y
Step-by-step explanation:
Answer:
The value of k is -11
Step-by-step explanation:
If (x+2) is a factor of x3 − 6x2 + kx + 10:
Then,
f(x)=x3 − 6x2 + kx + 10
f(-2)=0
f(-2)=(-2)³-6(-2)²+k(-2)+10=0
f(-2)= -8-6(4)-2k+10=0
f(-2)= -8-24-2k+10=0
Solve the like terms:
f(-2)=-2k-22=0
f(-2)=-2k=0+22
-2k=22
k=22/-2
k=-11
Hence the value of k is -11....
The perimeter represents the amount of wood needed and the area represents the amount of class needed.
so 2*(2/3) + 2(2) = 4/3 + 4= 4 4/3 or 5 1/3 wood is needed for the border.
for the mirror, you will need the area= 4/3 * 2 = 8/3 sq yds or 2 2/3 sq yards is needed.
Answer:
Larry.
Step-by-step explanation:
For Larry, do 375/25 = 15. He is getting paid $15 an hour.
For Kyle, you do 560/40 = 14. He is getting paid $14 an hour.
$15 is greater than $14 an hour, so Larry is getting paid at a better rate.
