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Allisa [31]
3 years ago
7

What is the length of the line segment with end points (5, -7) and (5, 11)​

Mathematics
1 answer:
Law Incorporation [45]3 years ago
4 0

Answer:

<h2>18</h2>

Step-by-step explanation:

The formula of a distance between two points:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

We have the points (5, -7) and (5, 11). Substitute:

d=\sqrt{(5-5)^2+(11-(-7))^2}=\sqrt{0^2+18^2}=\sqrt{18^2}=18

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A car dealership has 24ft of dividers with which to enclose a rectangular play sace
alina1380 [7]

Answer:

A)  Area = A(x) = 24x - x^2

B)  Domain = {x < 24}

Step-by-step explanation:

<u>Complete Question:</u>

A car dealership has 24ft of dividers with which to enclose a rectangular play space in a corner of a customer lounge. The sides against the wall require no partition. Suppose the play space is x feet long.  

A) express the area of the play space as a function of x

B) find the domain of the function

Solution:

A)

The rectangle has area of length * width

length is x

so width will be 24 - x

Hence, the area will be:

Area = x(24 - x)

Area = A(x) = 24x - x^2

B)

Domain is the set of x values that make the function defined.

The domain will be all values less than 24.

Because if you take 24, the area would be 0 [doesn't make sense]

if you take anything over 24, the area would be negative [not possible]

Hence, the domain is:

Domain = {x < 24}

6 0
3 years ago
This is a pre calculus question that I need help with, serious answer PLEASE and thank you! Will give brainliest.
IRISSAK [1]

The wording of this question is a bit confusing... You can't write a sequence in sigma notation, but rather a series or sum. I think the question is asking you to write the sum of the sequence,

\dfrac12,\dfrac14,\dfrac18,\ldots,\dfrac1{64}

which would be

\dfrac12+\dfrac14+\dfrac18+\cdots+\dfrac1{64}

in sigma notation.

To do this, notice that the denominator in each term is a power of 2, starting with 2^1=2 and ending with 2^6=64. So in sigma notation, this series is

\displaystyle\sum_{n=1}^6\frac1{2^n}

4 0
3 years ago
What is the unknown term.<br>in the seqpence 4.5, 5.4,____7.2<br><br>A.6.2 or B. 63​
harina [27]

Answer:

6.3

Explanation:

To get from 4.5 to 5.4, you need to add 0.9. If you add 0.9 two more times, you get 7.2. Therefore, the middle term should be 6.3. I don't know if you made a typo and forgot the decimal when writing the options cause it says "63", but I believe the answer is 6.3.

4 0
3 years ago
PLEASE HELP I GIVE THANKS
Art [367]
4x-10=18

4x=18+10

4x=28

x=28/4
<span>
x=7</span>
6 0
3 years ago
How can 12 x 50 help find 12 x 49
Dafna1 [17]
12×50=600
12×49=588
600-12=588
7 0
3 years ago
Read 2 more answers
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