Answer:b
Step-by-step explanation:
The terms in Pattern B are one third the corresponding terms in Pattern A.
Answer:
The answer to this question is angles
9514 1404 393
Answer:
C) 4
Step-by-step explanation:
The point-slope equation of the line is ...
y -k = m(x -h) . . . . . line with slope m through point (h, k)
y +9 = 3(x -1) . . . . . line with slope 3 through point (1, -9)
For y=0 (the 0 of the function), we have ...
9 = 3(x -1)
3 = x -1
4 = x
The x-intercept is (4, 0).
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
