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Likurg_2 [28]
3 years ago
15

Find all values of a such that (a-3)/sqrta=-sqrta

Mathematics
1 answer:
Mariana [72]3 years ago
3 0

Answer:

From the Pythagorean theorem...

 

[ distance between (a, 7)  and  (2, 1) ]2   =   [a - 2]2  +  [7 - 1]2

 

And they tell us that the distance equals  3√5  , so

 

[  3√5 ]2   =   [a - 2]2  +  [7 - 1]2

 

45   =   [a - 2]2  +  36

 

9   =   [a - 2]2

 

±√9  =   a - 2

 

± 3   =   a - 2

 

± 3  +  2   =   a

 

a  =  3 + 2  =  5          or          a = -3 + 2  =  -1

 

and

 

5  +  -1   =   4

Step-by-step explanation:

hope dis helps

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PLEASE HELP!!!
never [62]

Answer:

Lee has more pizza

Lee has 2.24 in^2 more than John

Step-by-step explanation:

step 1

Find the area of each slice of pizza

A=\frac{1}{8}\pi r^{2}

we have

r=16/2=8\ in ----> the radius is half the diameter

substitute

A=\frac{1}{8}\pi 8^{2}

A=8\pi\ in^{2}

step 2

Find the area of John's part (area of shaded triangle)

The measure of the central angle of each slice of pizza is equal to

360\°/8=45\°

so

the height of triangle is equal to the base

Let

x ---->the base of the shaded triangle

cos(45\°)=\frac{x}{r}

cos(45\°)=\frac{x}{8}

Remember that

cos(45\°)=\frac{\sqrt{2}}{2}

substitute

\frac{\sqrt{2}}{2}=\frac{x}{8}

solve for x

x=4\sqrt{2}\ in

Find the area of shaded triangle

A=(1/2)(4\sqrt{2})(4\sqrt{2})=16\ in^2

step 3

Find the area of Lee's part

The area of Lee's part is equal to the area of two slices of pizza minus the area of two triangles

so

2(8\pi)-2(16)=(16\pi-32)\ in^2

assume

\pi =3.14

(16(3.14)-32)=18.24\ in^2

so

Lee's part is greater than John part's

Find the difference

18.24-16=2.24\ in^2

therefore

Lee has more pizza

Lee has 2.24 in^2 more than John

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3 years ago
If f(x) = 8^x , find the value of f(2/3).
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Answer:

4

Step-by-step explanation:

This is a substitution question

So we will have to substitute the value of x given into the given question

f(x)=8^x

And x is given as 2/3

So let's get to work

8^2/3 which means that cube root of 8 then square the answer

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Cube root of 8 is 2

So we will have to square 2 to get 4

Therefore the final answer is 4

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