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Leya [2.2K]
3 years ago
14

If the length of a rectangle is x + 4 and the width is 2x – 3, what is the area?

Mathematics
1 answer:
zmey [24]3 years ago
6 0
The area of a rectangle is the length times the width.

(x+4) \times (2x-3)=2x^2-3x+8x-12=2x^2+5x-12

The answer is C.
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A) How many ways can 2 integers from 1,2,...,100 be selected
Anna007 [38]

Answer with explanation:

→Number of Integers from 1 to 100

                                            =100(50 Odd +50 Even)

→50 Even =2,4,6,8,10,12,14,16,...............................100

→50 Odd=1,3,,5,7,9,..................................99.

→Sum of Two even integers is even.

→Sum of two odd Integers is odd.

→Sum of an Odd and even Integer is Odd.

(a)

Number of ways of Selecting 2 integers from 50 Integers ,so that their sum is even,

   =Selecting 2 Even integers from 50 Even Integers , and Selecting 2 Odd integers from 50 Odd integers ,as Order of arrangement is not Important, ,

        =_{2}^{50}\textrm{C}+_{2}^{50}\textrm{C}\\\\=\frac{50!}{(50-2)!(2!)}+\frac{50!}{(50-2)!(2!)}\\\\=\frac{50!}{48!\times 2!}+\frac{50!}{48!\times 2!}\\\\=\frac{50 \times 49}{2}+\frac{50 \times 49}{2}\\\\=1225+1225\\\\=2450

=4900 ways

(b)

Number of ways of Selecting 2 integers from 100 Integers ,so that their sum is Odd,

   =Selecting 1 even integer from 50 Integers, and 1 Odd integer from 50 Odd integers, as Order of arrangement is not Important,

        =_{1}^{50}\textrm{C}\times _{1}^{50}\textrm{C}\\\\=\frac{50!}{(50-1)!(1!)} \times \frac{50!}{(50-1)!(1!)}\\\\=\frac{50!}{49!\times 1!}\times \frac{50!}{49!\times 1!}\\\\=50\times 50\\\\=2500

=2500 ways

7 0
3 years ago
In rhombus ABCD, the diagonal line AC and line BD intersect at E. If AE=5 and BE = 12, what is the length of line AB?
Reika [66]
From a formula located here:
http://www.1728.org/quadltrl.htm
we see that
<span>4 • Side² = Long Diagonal² + Short Diagonal²
Long Diagonal = 24
Short Diagonal = 10
</span><span>4 • Side² = 24^2 + 10^2 </span>
<span>4 • Side² = 576 + 100
</span><span>4 • Side² = 676
</span><span><span>Side²</span> = 169
Side (or line AB) = 13

</span>



8 0
3 years ago
How many edges does a pyramid have?
polet [3.4K]
A pyramid has 8 edges
7 0
3 years ago
Read 2 more answers
How can you use estimation to justify that the answer $7,875 is reasonable? $1,575 X 5 =p $1,575 X 5 = $7,875. So, p = $7,875.​
Alisiya [41]

Answer:

p= 1

Step-by-step explanation:

1,575x5 =p  p=1

7 0
3 years ago
Evaluate 5 (n+3) - 2n, when n =2
Svet_ta [14]

Answer: 21

Step-by-step explanation:

Plug in 2 for all the ns in the expression

5 (n+3) - 2n = 5 (2+3) - 2(2)

                   = 25-4

                   = 21

5 0
3 years ago
Read 2 more answers
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