1. (2x + 3)(x + 1)
2. Prime
3. (4x - 1)(2x + 3)
4. Prime
5. (2x - 7)(x + 4)
Answer:
∠BKM= ∠ABK
Therefore AB ║KM (∵ ∠BKM= ∠ABK and lies between AB and KM and BK is the transversal line)
m∠MBK ≅ m∠BKM (Angles opposite to equal side of ΔBMK are equal)
Step-by-step explanation:
Given: BK is an angle bisector of Δ ABC. and line KM intersect BC such that, BM = MK
TO prove: KM ║AB
Now, As given in figure 1,
In Δ ABC, ∠ABK = ∠KBC (∵ BK is angle bisector)
Now in Δ BMK, ∠MBK = ∠BKM (∵ BM = MK and angles opposite to equal sides of a triangle are equal.)
Now ∵ ∠MBK = ∠BKM
and ∠ABK = ∠KBM
∴ ∠BKM= ∠ABK
Therefore AB ║KM (∵ ∠BKM= ∠ABK and BK is the transversal line)
Hence proved.
The volume of the composite solid is 645.97 cubic cm
<u>Step-by-step explanation:</u>
Given that,
The side of the cube = 8cm
Diameter of the hemisphere= 8cm
Radius = 4cm
Volume of cube = 8 x 8 x 8
= 512 cubic cm
Volume of hemisphere= (2/3) π (4 x 4 x 4)
= (2/3) π (64)
= (2/3) (3.14) (64)
= 133.97 cubic cm
Total volume = 512 + 133.97
= 645.97 cubic cm
The volume of the composite solid is 645.97 cubic cm
Answer: we should have that:

Step-by-step explanation:
We know that f(x) is an odd function, this means that f(-x) = -f(x)
We know that:

this means that wen we aproximate to zero for the right (the positive side) we have that the value is.
First, this tell us that f(x) can not be a continue function, because of the fact that is odd we will have that when we aproximate the same lim but from the negative side, we will have that:

Answ guud ground
Step-by-step explanation:
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