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deff fn [24]
3 years ago
11

Can anyone help me with this math problem?

Mathematics
2 answers:
netineya [11]3 years ago
7 0

Answer:

f(-2) = 65

Step-by-step explanation:

What f(-2) means is that -2 will be substituted for the value of x, which will result in an output.

f(x) = 6(8-x) + 5

f(-2) = 6(8-(-2)) + 5

f(-2) = 6(8+2) + 5

f(-2) = 6(10) + 5

f(-2) = 60 + 5

f(-2) = 65

Therefore, when x=-2, y=65, which essentially means f(-2) = 65

Mekhanik [1.2K]3 years ago
7 0
A) the notion f(-2) means that x is (-2)
However f(x) is another way of saying y

b) f(-2)= 6(8 -(-2))+5
F(-2)= 6(8+2)+5
F(-2)=6(10)+5
F(-2)=60+5
F(-2)=65

Please mark as a brainliest (crown)
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4 0
3 years ago
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If tanA+sinA=m and tanA-sinA=n.prove that m^2-n^2=4√mn
mash [69]

Let a=\tan A and b=\sin A. Then

m^2-n^2=(a+b)^2-(a-b)^2=(a^2+2ab+b^2)-(a^2-2ab+b^2)=4ab

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and

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\implies4\sqrt{mn}=4\sqrt{\tan^2A-\sin^2A}

The expression under the square root can be rewritten as

\tan^2A-\sin^2A=\dfrac{\sin^2A}{\cos^2A}-\sin^2A=\sin^2A\left(\dfrac1{\cos^2A}-1\right)=\sin^2A(\sec^2A-1)

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4\sqrt{\tan^2A-\sin^2A}=4\tan A\sin A

so that

m^2-n^2=4\sqrt{mn}

as required.

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