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 : 16
Given f(x) table is
x –5 –2 1 5
f(x) –11 1 13 29
Given g(x) table is
x -5 –2 1 5
g(x) –7 –1 5 13
We need to find the value of (f-g)(5)
(f - g) (5) = f (5) - g(5)
We know f(5) = 29 and g(5) = 13 from the table
(f - g) (5) = f (5) - g(5) = 29 - 13 = 16
the value of (f – g)(5) is 16
We have 125 = 5³ and 1/5 = 0.2. Then
1/125 = (1/5)³ = 0.2³ = 0.008
so that
4 27/125 = 4 + 27 • 0.008
… = 4 + 0.216
… = 4.216
Answer:
y= tan (x+pi/2) is the answer
It would be +700, because it's an increase. :)
