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svlad2 [7]
4 years ago
10

Choose the correct simplification of the expression of (5a^7b)^2

Mathematics
1 answer:
bezimeni [28]4 years ago
6 0

Answer:

25a^14b^2

Step-by-step explanation:

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Suppose a rectangular garden plot has a length that can be expressed as x+2 feet and a width expressed as x+7 feet. Write a poly
mafiozo [28]

Answer:

Area = x^2 + 9x + 14

Perimeter = 4x + 18

Step-by-step explanation:

Given:

Length of rectangular garden = (x + 2) ft

Width = (x + 7) ft

Required:

a. Polynomial expression of the area of the garden

b. Polynomial expression of the perimeter of the garden

SOLUTION:

Area of the rectangular garden = length × width

Area = (x + 2)(x + 7)

Expand using the distributive property of multiplication

Area = x(x + 7) +2(x + 7)

Area = x^2 + 7x + 2x + 14

Area = x^2 + 9x + 14

Perimeter = 2(length) + 2(width)

Perimeter = 2(x + 2) + 2(x + 7)

Perimeter = 2x + 4 + 2x + 14

Collect like terms

Perimeter = 2x + 2x + 4 + 14

Perimeter = 4x + 18

6 0
3 years ago
Robert wants to have his birthday party at a bowling alley with a few friends, but he can spend no more than $80. The bowling al
Ludmilka [50]
The trick to solving this problem is to realize that the independent variable is x, which represents the number of people who can attend the party without the total party cost exceeding $80.

This is the form of the inequality:

(total cost) [less than or equal to] $80
(rent) + (cost per guest)(number of guests) [less than or equal to] $80
  $45  + $5.50 x                                            [less than or equal to] $80

Simplify.  To do this, subtract $45 from both sides of this inequality.

Divide both sides of the resulting inequality by $5.50.

What is the restriction on x?
3 0
3 years ago
Simplify expression <br> 4(7x+5y)
Margarita [4]
28x + 20y I think is the answer
6 0
4 years ago
Read 2 more answers
Plz help me i have to say in meters the area of the gray area help meeeeee :((((((
Virty [35]

Answer:

  • 1200 cm²

Step-by-step explanation:

<u>The gray triangles have</u>

  • Base of 20 cm and added height of 60 cm for 2 triangles in each section of AMND and MNCB

<u>The grey area in total is</u>

  • 1/2*20*60 + 1/2*20*60 = 20*60 = 1200 cm²
8 0
3 years ago
a pole that is 3.3 M tall casts a shadow that is 1.22 M long at the same time a nearby Tower cast a shadow that is 50.75 M long
jenyasd209 [6]
Since there is no distance between the pole and the base of the tower, we can assume that the pole is at the base of the tower. 
We can create a right triangles between the pole and its shadow and between the tower and its shadow as shown in the figure. Let x be the height of the tower. Since our triangles are similar the ratio between its sides is going to be proportional, so we can establish a proportion to find x:
\frac{x}{3.3} = \frac{50.75}{1.22}
x= \frac{(50.75)(3.3)}{1.22}
x=137.27

We can conclude that the tower is 137.27 meters tall.

6 0
3 years ago
Read 2 more answers
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