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Tems11 [23]
3 years ago
9

15) Martha wants to put carpet in a rectangular room that measures 14 feet by 16 feet. There is a section in front of

Mathematics
1 answer:
k0ka [10]3 years ago
6 0

Answer:

5 ft

Step-by-step explanation:

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Find the distance between the two points.
Law Incorporation [45]

Answer:  89 will go in the box

This means the exact distance between the two given points is \sqrt{89} which approximates to roughly 9.4339811

===========================================================

Explanation:

To get that answer, we can apply the distance formula

(x1,y1) = (-1,-5) is the first point

(x2,y2) = (4,3) is the second point

Plug the coordinates into the distance formula

d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-1-4)^2 + (-5-3)^2}\\\\d = \sqrt{(-5)^2 + (-8)^2}\\\\d = \sqrt{25 + 64}\\\\d = \sqrt{89}\\\\d \approx 9.4339811\\\\

--------------------------

Alternative Method:

You could also form a right triangle by adding the point (4, -5). The horizontal leg goes from (-1,-5) to (4,-5) which is a span of 5 units. The vertical leg goes from (4,-5) to (4,3) which is a span of 8 units. The hypotenuse is from (-1,-5) to (4,3) which is the distance we want to find.

After forming the triangle and determining the leg lengths, use the pythagorean theorem and you should get \sqrt{89} as the length of the hypotenuse. As you can probably guess, the distance formula is effectively a slight rephrasing the pythagorean theorem.

8 0
3 years ago
30 points !!! Polygon ABCDE is reflected to produce polygon A?B?C?D?E?. What is the equation for the line of reflection? a. Y =
Gnoma [55]

Answer:0

Step-by-step explanation:

7 0
4 years ago
Read 2 more answers
Kim earns $30 for babysitting on Friday nights she makes an average of $1.25 in tips per hour write the function of Kim’s earnin
IgorLugansk [536]
Hi there!

Let the amount of hours Kim worked be represented by X.
Her total earnings on a Friday night can be expressed as $30 + ($1.25 × the amount of hours). We can now set up a function for her total revenue (represented by Y).

y = 30 + 1.25x
When Kim works 3 hours we need to plug in x = 3 into the formula.


y = 30 + 1.25 \times 3 = 30 + 3.75 = 33.75

Therefore, after 3 hours of working, Kim would have made $33.75
3 0
3 years ago
4 times the difference of f squared and g, increased by the sum of f squared and 2g?
diamong [38]
<span>difference of f squared and g = (f^2 - g)
</span>4 times the difference of f squared and g = 4 x (f^2 - g<span>)
</span><span>sum of f squared and 2g = (f^2 + 2g)

</span>4 times the difference of f squared and g, increased by the sum of f squared and 2g = 4 x (f^2 - g) + (f^2 + 2g<span>)</span>
4 0
3 years ago
Read 2 more answers
The president of the student council wants to survey the student population. She decides to take a random sample of
Alika [10]

Answer:

C

Step-by-step explanation:

8 0
3 years ago
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