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kaheart [24]
3 years ago
5

Given the function f(x) = 2(x + 4), find x if f(x) = 20. 6 48 14 8

Mathematics
1 answer:
guapka [62]3 years ago
3 0
So since we are solving for x, put 20 instead of f(x):

20 = 2(x + 4)

You can distribute 2 to x and 4:

20 = 2x + 8

Subtract both sides by 8:

12 = 2x

Divide both sides by 2

6 = x
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Find the area of the shaded portion in the equilateral triangle with sides 6.
VashaNatasha [74]
First, let's get the area of the entire triangle since we'll need it later. The area of a triangle is A=1/2*b*h

We can find the height with the Pythagorean theorem by splitting the triangle in half. 
3^2+b^2=6^2
9+b^2=36
b^2=27
b=√27

Then we can find the area:
A=1/2*6*√27
A=3√27   or   =9√3   or 15.59

Now we can find the area of each region in the triangle other than the shaded region because they are all portions of a circle.

Each region has an angle of 60 because this is an equilateral triangle. Therefore the area of each region other than the shaded region will be 1/6 the area of a circle with a radius of 3 because a full circle is 360 degrees.
A=pi*r^2/6
A=pi*9/6
A=4.71

So three of these regions would have an area of 14.14

We do the area of the triangle minus the area of these regions to get the area of the shaded region
15.59-14.14 = 1.45

Hope this helps!


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3 0
3 years ago
Please help me answer this !!!
OLga [1]
Need more information

8 0
3 years ago
The sales tax rate on a new vehicle is 6%. If the vehicle is $8,000, then how much will be charged for sales tax?
Dimas [21]
$8000 x 0.06
= 480

8000 + 480
= $8480

you will pay $8480
8 0
4 years ago
Which is the factored form of 3y -18
Eva8 [605]
The only things you can factor out of here is a 3 so you are left with:

3(y-6)

Hope that helps.
5 0
3 years ago
Write down the first even multiple of 7
Fiesta28 [93]

Answer:

14

Step-by-step explanation:

multiples are the list of number that can be multiplied by a certain number.

list the multiples

make a chart

1 × 7 = 7 (odd)

2 × 7 = 14 (even)

the first even multiple is 14 (2×7)

6 0
3 years ago
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