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Scorpion4ik [409]
3 years ago
9

If f(x) = 21 + 3sqrt(x+12)

Mathematics
1 answer:
Rudiy273 years ago
4 0

Answer:

42

Step-by-step explanation:

g(4) = 2x^2+5

= 2(4)^2+5

= 2(16)+5

= 32+5

= 37

f(g(4)) = 21+3sqrt(x+12)

= 21+3sqrt(37+12)

= 21+3sqrt(49)

= 21+3(7)

= 21+21

= 42

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If we `scale` both the numerator and denominator by the same value, then we can create other equivalent fractions. By scale I mean: Multiply both the top and bottom of the fraction by the same value.

So here is one we can try.
Let's multiply numerator and denominator by 3.
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Answer:

To find c you know that angles on a straight line equal 180° (supplementary angles). So 70+30+∠C=180.

Now we can solve this.

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We are going to use the alternate angles rule one more time to solve for ∠B (this rule is very important when dealing with parallel lines), we could also use the corresponding angles rule but for simplicity we will just stick with the alternate angles rule. Because the vertical angle opposite ∠A is equal to 30°, we can see that the supplementary angle opposite ∠B=30°. Because this angle is supplementary with B we know that 30+B=180.Now we can solve this.

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Now we move the 30 over to the other side.

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Simplify.

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I hope this helps!

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