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Lady_Fox [76]
2 years ago
6

Shelby is decorating a rectangular ballroom ceiling with garland. Beginning in a corner, Shelby strings garland along length of

the ceiling, a distance of 18 meters. Next, Shelby strings garland along the width of the ceiling, a distance of 80 meters. Then Shelby strings the garland straight back to the original corner. At this point, how much garland has Shelby used?
Mathematics
1 answer:
Liono4ka [1.6K]2 years ago
3 0

Answer:

since the room is rectangular and has 4 sides

2 sides have the same length

18*2= 36m

80*2=160m

then add the sums...

the answer is 196 meters

Step-by-step explanation:

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A rectangle's length is twice its width. if the perimeter is 132 cm, find the width of the rectangle.
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Lim ln(tan x) as tends to pi/2 from the left
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Given the system of linear equations.
Karo-lina-s [1.5K]

Part A:


x + y = 9

4x + y = 6


To solve this system using substitution, begin by isolating either x or y in the first equation. I'll isolate x.


x + y = 9

x = 9 - y


Substitute this expression (9 - y) into the second equation for x and solve.


4x + y = 6

4(9 - y) + y = 6

36 - 4y + y = 6

36 - 3y = 6

-3y = -30

y = 10


To find x, substitute 10 for y into either of the original equations.


x + y = 9

x + 10 = 9

x = -1


Finally, check all work by substituting the x- and y-values into each original equation.


x + y = 9   -->   -1 + 10 = 9   -->   9 = 9   -->   True

4x + y = 6   -->   4(-1) + 10 = 6   -->   -4 + 10 = 6   -->   6 = 6   -->   True


The answer for Part A is x = -1 and y = 10; (-1, 10).


Part B:


For graphing, it's easier to get the equations into slope-intercept form. Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. To get our equations into slope-intercept form, we must simply isolate y.


x + y = 9

y = 9 - x

y = -x + 9


4x + y = 6

y = 6 - 4x

y = -4x + 6


Now that we have our slope-intercept equations, we can easily graph them, since their slopes and y-intercepts are readily visible.



Let's start with the y-intercepts. They are (0, 9) and (0, 6). You can plot those points on the graph.


Now, the slopes. The slope of the first line is -1, this means it declines. To plot this, start where you plotted the y-intercept, count one unit down, and then one unit to the right, and plot that point. Continue doing that and connect the dots, and you will have plotted the first line. The slope of the second line is -4, so it also declines. For this line, count four units down, and then one to the right and plot that point. Likewise, continue this and connect the coordinates, and you will have your line. (See attachment for graph.)


The lines do indeed intersect at (-1, 10); our answer is verified by graphing.

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3 years ago
Can someone help me :
morpeh [17]
E is the answer I am pretty sure.
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gayaneshka [121]
The answer is 
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2 years ago
Read 2 more answers
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