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Black_prince [1.1K]
2 years ago
15

The perimeter of a rectangle is 96 cm. The length of the rectangle is 10 cm more than the width. Find the length and width of th

e rectangle.
Mathematics
1 answer:
Amanda [17]2 years ago
5 0
2x + (2x+20)= 96

Width is 19, Length is 29
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Evaluate the expression x^2 - y^2, if x = -3, and y= 2
Darina [25.2K]

\\ \rm\longmapsto x^2-y^2

\\ \rm\longmapsto (-3)^2-(2)^2

\\ \rm\longmapsto 9-4

\\ \rm\longmapsto 5

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3 years ago
Find the area of each figure. Use 3.14
grigory [225]
<h3>Answer:  23.13 square meters</h3>

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

Explanation:

The top and bottom semicircles can be joined to form a full circle. The same can be said about the left and right semicircles. Each circle has diameter 3 and radius 1.5

The area of one circle is

A = pi*r^2

A = 3.14*(1.5)^2

A = 7.065

So two circles doubles to 2*7.065 = 14.13 square meters in area.

Then the last step is to add on the area of the 3 by 3 square (area 3*3 = 9) to get 14.13+9 = 23.13

This area is approximate because pi = 3.14 is approximate. Use more decimal digits in pi to get a more accurate area. However, your teacher wants you to use this specific value so it's best to stick with 23.13

8 0
3 years ago
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Answer:

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Help<br><br> Determine which equation is parallel to line jk and which is perpendicular to line jk.
alukav5142 [94]

Answer:

5x + 3y = 13 parallel.

6x - 10y = 7 perpendicular.

Step-by-step explanation:

Two lines with slopes m_1 and m_2 are parallel when m_1=m_2 and are perpendicular when m_1*m_2=-1

Now determine the slope of all the lines

The line jk passes through the points

(-5,5) and (1,-5) so its slope is

\frac{-5-5}{1-(-5)}=\frac{-10}{6}=-\frac{5}{3}

To determine the slope of the lines in the blue rectangles, isolate y from each one and the coefficient of x is the slope

5x-3y = 8 ------> y = (5/3)x + 8/3 ------> slope 5/3

Neither parallel nor perpendicular.

6x+10y = 11 ------> y = (-6/10)x + 11/10 = (-3/5)x + 11/10 ------> slope -3/5

Neither parallel nor perpendicular.

5x + 3y = 13 ------> y = (-5/3)x + 13/3 ------> slope -5/3

This line is parallel

6x - 10y = 7 ------> y = (6/10)x - 7/10 = (3/5)x -7/10 ------> slope 3/5

Since (-5/3)(3/5) = -1 this line is perpendicular.

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2 years ago
Evaluate the piecewise function by matching the domain values with the range values
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Answer:

What are the rangle and domain values

Step-by-step explanation:

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