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Anika [276]
3 years ago
9

(4k^5-9k^4+k^3-7k^2-9k+28)/4k-5

Mathematics
1 answer:
vlada-n [284]3 years ago
7 0

Answer:

=k6+ −9 /4  k5+ 1 /4  k4+  −7 /4  k3+  −9 /4  k2+7k−5

Step-by-step explanation:

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A rectangle is 6 units wide and x-8 units long. It has the same area as a triangle with the height of 7 units and a base of x-3
Snowcat [4.5K]
AREA OF A RECTANGLE IS 42 UNITS

Rectangle:                             Triangle: 
A = L * W                             A = hb / 2
A = (x-8) * 6                         A = (7(x-3)) / 2
A = 6x - 48                            A = (7x - 21) / 2

Since the problem states that both rectangle and triangle have the same area.Then:

6x - 48 = (7x - 21) / 2

1) Eliminate the denominator 2 by multiplying both sides by 2.

2 * (6x - 48) = 2 * ((7x - 21) / 2)
12 x - 96 = 7x - 21

Find x. Transfer like numbers and change their signs.

12x - 7x = 96 - 21
5x = 75
5x / 5 = 75 / 5
x = 15

Substitute x by its value:

Rectangle:                            Triangle
A = (x-8) * 6          -                A = (7(x-3)) / 2                      Areas of both Rectangle
A = (15 -8 ) * 6                       A = (7(15-3)) / 2                      and Triangle is the same.
A = 7 * 6                                  A = (7 * 12) / 2
A = 42 units                            A = 84 / 2
                                               A = 42 units

5 0
3 years ago
The ratio of bows to headbands of Monique's hair accessories is 8:4. Select all true statements.
Nadya [2.5K]

The ratio of bows to headbands is 8:4. This means that for every 8 bows, there are 4 headbands, Then, a true statement is the second option.

Since there are 8 bows + 4headbands = 12 accessories, this also implies that for every 12 hair accesories, there are 4 headbands. This solution corresponds to the last option.

Hence, the true statements are the second and last options.

5 0
1 year ago
53 26 11 35 16 61 47 39 50 46 58 10 <br> what is the mean average
bonufazy [111]

Answer:

37.66

Step-by-step explanation:

7 0
4 years ago
Read 2 more answers
Which equation has a slope of -4 and a y-intercept of 3
spayn [35]

Answer:

y=mx+b

Step-by-step explanation:

6 0
3 years ago
What is the slope of the line?
AleksandrR [38]

Answer:

-1

Step-by-step explanation:

Pick a point and then count how many moves up/down and left/right to the next point.

Example from graph:

(-2,0) and (-1,-1)

We go down 1 and right 1 making a negative slope of -\frac{1}{1}

or more simply -1

4 0
3 years ago
Read 2 more answers
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