Answer:
(2x² + 5x + 2) = (2x + 1)(x +2)
Step-by-step explanation:
Given expression is (2x² + 5x + 2).
We have to factorize the given expression.
(2x²+ 5x + 2) = 2x² + 4x + x + 2
= 2x(x + 2) + 1(x + 2)
= (2x + 1)(x + 2)
So the factored form of the given expression will be (2x + 1)(x + 2).
Answer:
B.
Step-by-step explanation:
Answer:
1.645 feet
Step-by-step explanation:
To solve this you must divide the total length by 5. 8.225/5=1.645. Each board will be 1.645 feet long
In Δ ABC, ∠A=120°, AB=AC=1
To draw a circumscribed circle Draw perpendicular bisectors of any of two sides.The point where these bisectors meet is the center of the circle.Mark the center as O.
Then join OA, OB, and OC.
Taking any one OA,OB and OC as radius draw the circumcircle.
Now, from O Draw OM⊥AB and ON⊥AC.
As chord AB and AC are equal,So OM and ON will also be equal.
The reason being that equal chords are equidistant from the center.
AM=MB=1/2 and AN=NC=1/2 [ perpendicular from the center to the chord bisects the chord.]
In Δ OMA and ΔONA
OM=ON [proved above]
OA is common.
MA=NA=1/2 [proved above]
ΔOMA≅ ONA [SSS]
∴ ∠OAN =∠OAM=60° [ CPCT]
In Δ OAN


OA=1
∴ OA=OB=OC=1, which is the radius of given Circumscribed circle.