Answer:
4x^2 + 21x - 18
Step-by-step explanation:
(9x^2+24x-8)-(5x^2+3x+10)
9x^2+24x-8-5x^2-3x-10
9x^2 - 5x^2 = 4x^2
24x - 3x = 21x
-8 - 10 = -18
Answer: 4x^2 + 21x - 18
Answer:
The values of x and y are x = 6 and y = 9Step-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
Answer:
y=-4-3x
Step-by-step explanation:
y = -3x - 4
y = -3x + (-4)
y = -4 + 3x
y = -4 - 3x
Answer:
-2 < x<4
Step-by-step explanation:
We have open circles and -2 and 4 so we don't include those numbers
The line is in between so the x is in between
-2 < x<4
Answer:
Step-by-step explanation:
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