3 years ago

F(x)=√4x+6 g(x)= √4x-6 find (f+g)(x)

Mathematics

1 answer:

e-lub [12.9K]3 years ago

4 0

Answer:

(f+g)(x) = √(4x+6) + √(4x-6)

Step-by-step explanation:

f(x) = √(4x+6)

g(x) = √(4x-6)

(f+g)(x) = f(x) + g(x)

(f+g)(x) = √(4x+6) + √(4x-6)

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For the triangles described, which of the following statements must be true? In triangle DEF, DE=8 in., DF=23 in., and ∡D=16°. I

Temka [501]

Answer:

∠Q≅∠F

Step-by-step explanation:

Two triangles are said to be congruent if all the three sides of the triangles are equal and all the three angles are equal.

Given that: In triangle DEF, DE=8 in., DF=23 in., and ∡D=16°. In triangle PQR, PQ=23 in., PR=8 in., and ∡P=16°.

Hence we can say that ΔDEF is congruent to ΔPQR. According to the side-angle-side (SAS) triangle congruence theorem: If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

Therefore:

DF = PQ, DE = PR, EF = RQ, ∠D = ∠P, ∠E = ∠R and ∠F = ∠Q

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3 years ago

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