Please help me understand

Mathematics

1 answer:

puteri [66]3 years ago

5 0

9514 1404 393

Answer:

D. 86°

Step-by-step explanation:

Points D and F divide the circle into two arcs. The long arc is labeled 274°, and the short arc is the one you're asked to find. You know the total of these two arcs is the full circle, 360°.

274° + DF = 360°

DF = 360° -274°

DF = 86°

There are other relationships you can use to find arc DF. One of the simpler ones is ...

DF and the external angle at E are supplementary:

DF = 180° -94° = 86°

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If F(x)=4x-1 and g(x)=x^2+7, what is g(f(x))

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Answer

$g(f(x)) = = 16 {x}^{2} - 8x + 8$

step by step Explanation

The functions given are

$f (x)= 4x- 1$

$g(x)= {x}^{2} + 7$

We want to find:

$g(f (x))= g( 4x- 1)$

This implies that

$g(f (x))= ( (4x- 1)^{2} + 7)$

Let us now simplify

$( {a - b)}^{2} = {a}^{2} -2ab + {b}^{2}$

This implies that

$( (4x- 1)^{2} + 7) =( {(4x)}^{2} - 2(4x) \times 1 + 1$

Combine the terms to get,

$= 16 {x}^{2} - 8x + 1 + 7$

$= 16 {x}^{2} - 8x + 8$