F(x)=3^2-2and g(x) =4x+2 what is the value of (f+g)(2)

Mathematics

1 answer:

morpeh [17]3 years ago

4 0

Step-by-step explanation:

$f(x) = {3}^{2} - 2 = 9 - 2 = 7 \\ g(x) = 4x + 2 \\ \therefore \: (f + g)(x) = 7 + 4x + 2 \\ \therefore \: (f + g)(x) = 4x + 9 \\ \therefore \: (f + g)(2) = 4 \times 2 + 9 \\ \therefore \: (f + g)(2) = 8 + 9 \\ \red{\boxed{ \bold{ \therefore \: (f + g)(2) = 17}}}$

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asambeis [7]

The total cost of the tent is 409.86

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explanation:

230×0.65=149.50

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379.50+30.36=409.86

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2 years ago

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Prove that the triangle EDF is isosceles. Give reasons for your answer.

Gekata [30.6K]

Answer:

$\triangle EDF$ is isosceles.

Step-by-step explanation:

Please have a look at the attached figure.

We are given the following things:

$\angle EDF = y$

$\text{External }\angle DFG = 90 +\dfrac{y}{2}$

Let us try to find out $\angle E$ and $\angle DFE$ . After that we will compare them.

Finding  $\angle DFE$ :

Side EG is a straight line so $\angle GFE = 180$

$\angle GFE$ is sum of internal $\angle DFE$ and external $\angle DFG$

$\angle GFE = 180 = \angle DFE + \angle DFG\\\Rightarrow 180 = \angle DFE + (90+\dfrac{y}{2})\\\Rightarrow \angle DFE = 180 - 90 - \dfrac{y}{2}\\\Rightarrow \angle DFE = 90 - \dfrac{y}{2} ....... (1)$