Answer:
Option (C) is correct .
Step-by-step explanation:
As the expression given in the question as follows.
Now rationalize the expression.
Using the formula
a² - b² = (a - b) (a + b)
Using in the above
As i² = -1
Option (C) is correct .
Answer:
Step-by-step explanation:
Answer:
v=kw. 8=k1/2
Step-by-step explanation:
Okay, so here's the equation. v=kw. Varies directly means if v rises, then w rises. If v decreases, then w will decrease. Let me know if that helps! (In case you need it, k=16.)
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
Answer:
Solution
Solution
3
+
6
Step-by-step explanation:
This is the best of what I got.
