Answer:
4+7x
Step-by-step explanation:
Answer:
x = 10
Step-by-step explanation:
For the lines to be parallel, the two angles must have the same measure:
80 - x = 90 - 2x
x = 10 . . . . . . . . . add 2x-80
The value of x must be 10 to make the lines parallel.
Answer:
24
Step-by-step explanation:
8 x 3 = 24
12 x 2 = 24
so 24 is your least common multiple
Answer:
a = p * q
b = p * s + q * r
c = r * s
Step-by-step explanation:
In the trinomial ax² + bx + c
a is the coefficient of x²
b is the coefficient of x
c is the numerical term
∵ The trinomial is ax² + bx + c
∵ Its factors are (px + r) and (qx + s)
∴ ax² + bx + c = (px + r)(qx + s)
∵ (px + r)(qx + s) = (px)(qx) + (px)(s) + r(qx) + (r)(s)
∴ (px + r)(qx + s) = pqx² + (psx + qrx) + rs
∴ ax² + bx + c = pqx² + (ps + qr)x + rs
→ By comparing the two sides
∵ ax² = pqx² ⇒ divide both sides by x²
∴ a = pq
∵ bx = (ps + qr)x ⇒ Divide both sides by x
∴ b = ps + qr
∴ c = rs
∴ a = p * q
∴ b = p * s + q * r
∴ c = r * s
