68 containers because 8.5 * 8 is 68
You are multiplying the 3x by 6
the last choice is correct
Answer:
The two options are:
-3x² - 11x + 11 and 5x² + 3x - 7
Step-by-step explanation:
When two polynomials are subtracted the difference is
-4x² - 7x + 9
One of the polynomials is
x² - 4x + 2
To get the second polynomial, we an either add x² - 4x + 2 to -4x² - 7x + 9 or subtract -4x² - 7x + 9 from x² - 4x + 2
First Option:
(x² - 4x + 2) + (-4x² - 7x + 9)
= x² - 4x + 2 - 4x² - 7x + 9
= x² - 4x² - 4x - 7x + 2 + 9
= -3x² - 11x + 11
Secons Option:
(x² - 4x + 2) - (-4x² - 7x + 9)
= x² - 4x + 2 + 4x² + 7x - 9
= x² + 4x² - 4x + 7x + 2 - 9
= 5x² + 3x - 7
Therefore, the two options are:
-3x² - 11x + 11 and 5x² + 3x - 7
Answer:
V= 904.78
Step-by-step explanation:
formula- V= 4/3(pi) • r^3
Answer:
The values of x and y are x = 6 and y = 9
Step-by-step explanation:
MNOP is a parallelogram its diagonal MO and PN intersected at point A
In any parallelogram diagonals:
- Bisect each other
- Meet each other at their mid-point
In parallelogram MNOP
∵ MO and NP are its diagonal
∵ MO intersect NP at point A
- Point A is the mid-point pf them
∴ MO and NP bisect each other
∴ MA = AO
∴ PA = AN
∵ MA = x + 5
∵ AO = y + 2
- Equate them
∴ x + 5 = y + 2 ⇒ (1)
∵ PA = 3x
∵ AN = 2y
- Equate them
∴ 2y = 3x
- Divide both sides by 2
∴ y = 1.5x ⇒ (2)
Now we have a system of equations to solve it
Substitute y in equation (1) by equation (2)
∴ x + 5 = 1.5x + 2
- Subtract 1.5x from both sides
∴ - 0.5x + 5 = 2
- Subtract 5 from both sides
∴ - 0.5x = -3
- Divide both sides by - 0.5
∴ x = 6
- Substitute the value of x in equation (2) to find y
∵ y = 1.5(6)
∴ y = 9
The values of x and y are x = 6 and y = 9
