All categories

3 years ago

Does anyone know what 2 to the 3rd power means?

1 answer:

4 0

the power (or exponent) of a number says how many times to use the number in a multiplication. It is written as a small number to the right and above the base number. In this example the little "2" says to use 3 times in a multiplication: 2x2x2= 8

You might be interested in

What is the vertex form of the parabola whose standard form equation is y=5x^2-30x+49

agasfer [191]

Answer:

The vertex is (3,4)

Step-by-step explanation:

To convert a quadratic from

y = a x 2 + b x + c

form to vertex form,

y = a ( x − h ) 2 + k , you use the process of completing the square.

First, we must isolate the x

terms:

y − 49 = 5 x 2 − 30 x + 49 − 49

y − 49 = 5 x 2 − 30 x

We need a leading coefficient of 1

for completing the square, so factor out the current leading coefficient of 2.

y − 49 = 5 ( x 2 − 6 x )

Next, we need to add the correct number to both sides of the equation to create a perfect square. However, because the number will be placed inside the parenthesis on the right side we must factor it by

on the left side of the equation. This is the coefficient we factored out in the previous step.

y − 49 + ( 5 ⋅ ? ) = 5 ( x 2 − 6 x + ? )

<- Hint:

62 = 3 ; 3 ⋅ 3 = 9

y − 49 + ( 5 ⋅ 9 ) = 5 ( x 2 − 6 x + 9 )

y− 49 + 45 = 5 ( x 2 − 6 x + 9 )

y − 4 = 5 ( x 2 − 6 x + 9 )

Then, we need to create the square on the right hand side of the equation:

y − 4 = 5 ( x − 3 ) 2

Now, isolate the y term:

y − 4 + 4 = 5 ( x − 3 ) 2 + 4

y − 0 = 5 ( x − 3 ) 2 + 4

The vertex is:

( 3 , 4 )

7 0

3 years ago

Simplity<br> |10|<br> Right the answer here please

Scrat [10]

Answer:

$10$

Step-by-step explanation:

The lines surrounding 10 are called positive brackets, meaning the no matter what number is in those brackets, it will always come out of positive.

There is nothing to do with just 10 because we don't need to change anything.

|10| simplified is 10

5 0

3 years ago

Rate this 1-10

Oduvanchick [21]

Answer:

Solid 7

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Which values are solutions to x<16?

leonid [27]

Answer:

Option D.

x can take values from 15downwards. It can't be 16 because the expression clearly states that x is less than 16. So x can take value from any number below 16.

8 0

3 years ago

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the

VladimirAG [237]

Answer:

$\boxed{108\sqrt{3}\text{ in}^{2}}$

Step-by-step explanation:

An apothem is a perpendicular drawn from the centre of the triangle to one of its sides.

The three apothems OD, OE, and OF divide ∆ABC into six smaller congruent triangles.

1. Area of ∆OCD

CotOCD = OD/OC

cot30 = CD/6

√3 = CD/6

CD = 6√3

A= ½bh

A = ½ × 6√3 × 6 = 18√3 in²

2. Area of ∆ABC

A = 6 × area of ∆OCD = 6 × 18√3 = 108√3 in²

$\text{The area of the triangle is }\boxed{108 \sqrt{3} \text{ in}^{2}}$

7 0

3 years ago

Read 2 more answers