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fiasKO [112]
3 years ago
8

Use distributive law to factor the given expression: 3+21a+15b

Mathematics
1 answer:
Reil [10]3 years ago
6 0

Answer:

3(1+7a+5b)

Step-by-step explanation:

The distributive law states that

a\cdot (b+c)=a\cdot b+a\cdot c.

The expression 3+21a+15b consists of three terms:

  1. 3=3·1;
  2. 21a=3·7a;
  3. 15b=3·5b.

You can see that 3 is the common factor of these three terms, thus

3+21a+15b=3(1+7a+5b).

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A rectangular area of land is being sold off in smaller pieces. The total area of the land is 2^15 square miles. The pieces bein
Nesterboy [21]
Total area of the rectangular land = 2^15 sq. miles
                                                     = 32768 sq. miles

total area of the pieces being sold = 8^3 sq. miles
                                                       = 512 sq. miles

now total no. of pieces = total area of the land / the area of samaller land that's                                                                                     being sold
                                     = 32768 / 512
                                     = 64

so the actual number of pieces is 64
4 0
3 years ago
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Divide distance with time
6 0
3 years ago
What constant term is necessary to complete the perfect square trinomial pictured in the algebra tiles?
gayaneshka [121]
The algebra tiles show two equal factors. They are (x + 4).


Then, the perfect square is the product of the two equal factors, (x + 4) * (x +4).


That is (x + 4)^2.


Then develop that perfect square to find the constant term.


(x + 4)^2 = x^2 + 8x + 16.


That means that the constant term needed to complete the trinomial is 16.


Answer: 16    
3 0
3 years ago
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The base of a triangular prism is a right triangle with a base of 6 inches, a height of 8 inches, and a third side length of 10
Vikentia [17]

The surface area of the rectangular prism with the dimensions that are stated is: 384 in.²

<h3>What is the Surface Area of a Triangular Prism?</h3>

Surface area = perimeter of base × height of prism + 2(base area)

= (s1 + s2 + s3)L + 2(1/2bh)

Given the following:

  • side of base (s1) = 6 in.
  • side of base (s2) = 8 in.
  • side of base (s3) = 10 in.
  • Length of prism (L) = 14 in.
  • Triangular base length (b) = 6 in.
  • h = 8 in.

Surface area = (6 + 8 + 10)14 + 2(1/2 × 6 × 8)

Surface area = 384 in.²

Learn more about the surface area of a rectangular prism on:

brainly.com/question/1310421

#SPJ4

5 0
2 years ago
Help meeeee!!!!!!! I’ll give you a cookie.
lianna [129]

Answer:

(-5,24)

Step-by-step explanation:

2f+3g-h

first we substitute in the numbers

2(-3)+3(1)-2

-6+3-2

-3-2

-5

Then again

2(5)+3(4)-(-2)

10+12+2

22+2

24

hope this helps!:)

7 0
3 years ago
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