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3 years ago

8

Of the 50 parking spots in the garage, 23 are empty. What is the ratio of the number of empty parking spots to the number of ful

l parking spots?

1 answer:

IgorC [24]3 years ago

7 0

Find the number of full ones by subtracting empty from total:

50 - 23 = 27 full

The ratio of empty to full is written as empty: full

Ratio = 23:27

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Point A is located at (-4, -13). Point B is located at (-4, 3). What is the distance between point A

12345 [234]

Answer:

the distance is 16

Step-by-step explanation:

Hi there!

We are given point A (-4,-13) and point B (-4,3). We need to find the distance between those two points

the distance formula is given as $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$ where ( $x_{1}$ , $y_{1}$ ) and ( $x_{2}$ , $y_{2}$ ) are points

we are given 2 points, which is what we need for the formula. However, let's label the values of the points to avoid any confusion

$x_{1}$ =-4

$y_{1}$ =-13

$x_{2}$ =-4

$y_{2}$ =3

now substitute those values into the formula. Remember: the formula uses SUBTRACTION.

$\sqrt{(-4--4)^2+(3--13)^2}$

simplify

$\sqrt{(-4+4)^2+(3+13)^2}$

now add the values inside the parenthesis that are under the radical

$\sqrt{(0)^2+(16)^2}$

raise everything under the radical to the second power

$\sqrt{0+256}$

add under the radical

$\sqrt{256}$

now take the square root of 256

$\sqrt{256}$ =16

so the distance between point A and point B is <u>16</u>

Hope this helps! :)

8 0

3 years ago

Simplify 4 to the 7th over 5 squared all raised to the 3rd power.

Radda [10]

First write out your original equation.
${(\frac{ {4}^{7} }{ {5}^{2} } ) }^{3}$
Then use the law of exponents(power of a power) to simplify.
$\frac{ {4}^{21} }{ {5}^{6} }$
(Multiply the numerator and denominator exponents by the outside power.)

The answer is 4 to the 21st over 5 to the 6th.

6 0

3 years ago

What is the distance between 5,4 and -1,1

spayn [35]

Answer:

3 $\sqrt{5}$

Step-by-step explanation:

Calculate the distance d using the distance formula

d = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }$

with (x₁, y₁ ) = (5, 4) and (x₂, y₂ ) = (- 1, 1)

d = $\sqrt{(-1-5)^2+(1-4)^2}$

= $\sqrt{(-6)^2+(-3)^2}$

= $\sqrt{36+9}$

= $\sqrt{45}$

= 3 $\sqrt{5}$ ← exact value

≈ 6.71 ( to 2 dec. places )

8 0

3 years ago

15m+m+2 <br> I need help on combining like terms

Mice21 [21]

Answer:

its 16m+2

Step-by-step explanation:

you add m and 15 m because they have the same variable.

then you put the two right next to it

4 0

4 years ago

You start driving north for 3 miles, turn right, and drive east for another 4 miles. At

Elanso [62]

Answer:

The straight line distance is 5 miles from starting point

Step-by-step explanation:

7 0

3 years ago