Answer:
(-4, 3)
Step-by-step explanation:
This is an increase of 8 in the y coordinate, so the answer is (-4, -5 + 8) or (-4, 3).
Answer:
The answer is A 11 and 4= 44
Step-by-step explanation
Answer:
3/2 or 1.5
Step-by-step explanation:
Multiply 3/5 by 2 to make the denominator of both fractions equal.
2 x 3/5 = 6/10
Now that the denominators are equal, add the two fractions together
6/10 + 9/10 = 15/10 = 3/2 or 1.5
The answer is x^2-2^2
X^2-4
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
