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3 years ago

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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3 years ago

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

$360\°/8=45\°$

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

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

assume

$\pi =3.14$

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

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).

Licemer1 [7]

Answer:

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

(3√8)^2

Cube root of 8 is 2

So we will have to square 2 to get 4

Therefore the final answer is 4

I believe you understand

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Answer:

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