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ankoles [38]
3 years ago
11

Juanita is cutting a piece of construction paper in the shape of a parallelogram. Two opposite sides of the parallelogram have l

engths (5n − 6) cm and (3n − 2) cm. A third side measures (2n + 3) cm. What are the lengths of two adjacent sides of the parallelogram?
Mathematics
2 answers:
Eddi Din [679]3 years ago
7 0

Answer:

b

Step-by-step explanation:

Tema [17]3 years ago
3 0

Answer:

4 cm and 7 cm

Step-by-step explanation:

Given that Juanita is cutting a piece of construction paper in the shape of a parallelogram. Two opposite sides of the parallelogram have lengths (5n − 6) cm and (3n − 2) cm.

We know that opposite sides are equal in a parallelogram.

Hence we have

5n-6 = 3n-2\\2n =4\\n=2

Hence the side length = 5(2)-6 =4 cm

The adjacent side = 2n+3\\=2(2)+3\\=7cm

Thus answer is 4 cm and 7 cm

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N Example 3, the points are(0,3500) and (5,1750). Write an equation that represents the distance y (in feet) remaining after x m
Cerrena [4.2K]

Answer:

<h2>The time needed is 10 months.</h2>

Step-by-step explanation:

The given points are (0, 3500) and (5, 1750).

First, we use the formula below to find the slope of the line

m=\frac{y_{2}-y_{1}  }{x_{2} -x_{1} }=\frac{1750-3500}{5-0}=\frac{-1750}{5}=-350

Which means the function is deacrasing with a ratio of 350 feet per month.

Now, we use the slope and one point to find the equation

y-y_{1} =m(x-x_{1} )\\y-1750=-350(x-5)\\y=-350x+1750+1750\\y=-350x+3500

This linear function shows that the situation started at the y-intecept (0, 3500), which means the month 0 had already 3500 feet. In other words, the total distance is 3500 feet. Now, the x-intercept will tell us the time needed to travel that distance.

0=-350x+3500\\-3500=-350x\\x=\frac{-3500}{-350}\\ x=10

Therefore, the time needed is 10 months.

3 0
2 years ago
5(3m+2)<br> 6(g+h)<br> 4d+8<br> 21p+35q<br> 18x+9y
aalyn [17]
<span>(a) 5(3m+2) = 15m + 10

(b) 6(g+h) = 6g + 6h

(c) 4d+8 = 4(d + 2)

(d) 21p+35q = 7(3p + 5q)

(e) 18x+9y = 9(2x + y)</span>
7 0
3 years ago
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