Answer:
3y² + 7y + 4 = (3x + 4)(x + 1)
Step-by-step explanation:
* To factor a trinomial in the form ax² ± bx ± c:
- Look at the c term
# If the c term is positive
∵ c = r × s ⇒ r and s are the factors of c
∴ r and s will have the same sign (sign of b)
∵ a = h × k ⇒ h , k are the factors of a
∴ rk + hs = b
∴ (hx + r)(kx + s) ⇒ if b +ve OR (hx - r)(kx - s) ⇒ if b -ve
# If the c term is negative
∵ c = r × s ⇒ r and s are the factors of c
∴ r and s will not have the same sign
∵ a = h × k ⇒ h and k are the factors of a
∴ rk - hs = b OR hs - rk = b
(hx + r)(kx - s) OR (hx - r)(kx + s)
* Now lets solve the problem
∵ 3y² + 7y + 4
∵ ax² + bx + c
∴ a = 3 , b = 7 , c = 4
∵ a = h × k
∵ 3 = 3 × 1
∴ h = 3 , k = 1
∵ c = r × s
∵ 4 = 4 × 1
∴ r = 4 , s = 1
∵ c is positive
∴ hs + rk = b
∴ 3(1) + 4(1) = 7 ⇒ same value of b
∴ 3y² + 7y + 4 = (3x + 4)(x + 1)
Answer:
Always
Step-by-step explanation:
When two lines aren't parallel that means that they don't have the same slope. This means that these two lines will eventually (even if it's not on the graph) intersect.
If two lines ARE parallel, then they have the same slope, causing them to never touch, even outside of the graph.
I hope this helps :)
The answers because you have to add all of them together 35
Answer:
Radius= 2r
Step-by-step explanation:
Surface area of hemisphere
=2 x 22/7 x (2r)^2
=44/7 x 4 r^2
=174/7 r^2
=25.14 r^2
