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ale4655 [162]
3 years ago
13

Will give brainliest to correct answer.

Mathematics
1 answer:
Kobotan [32]3 years ago
8 0
Note that c is the hypotenuse of the blue triangle, and that the Pyth. Thm. states that (length of one leg)^2 + (length of the other leg)^2 = (hyp)^2.

Therefore, (hyp)^2 = c^2 = [2sqrt(x^2+3x)]^2 + 3^2, or
                                        = 4(x^2+3x) + 9, or
                                        = 4x^2 + 12x + 9  = (2x+3)^2
Taking the sqrt of both sides, c = plus or minus (2x+3).  Eliminate -(2x+3) because the middle term of the square of this would be negative, in conflict with the given +12x.

c=2x+3 is the correct answer.

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A firm producing 7 units of output has an average total cost of Rs. 150 and has to pay Rs.350 to its fixed factors of production
maria [59]

Rs 100 of the average total cost is made up of variable costs.

Step-by-step explanation:

Given:

Number of output the firm produces= 7 units

Average cost of the output= Rs. 150

fixed factors of production = Rs.350

To Find:

How much of the average total cost is made up of variable costs=?

Solution:

we know that,

Average total cost= total cost/ number of output units produced

substituting the values, we get

150=\frac{\text{Total cost}}{7}

Total cost= 1050

we know that Total fixed cost = 350

Total cost = Total fixed cost + Total variable cost

plug in the known values.

1050= 350 + Total variable cost

Total variable cost = 1050-350

Total variable cost =700

For 7th unit \frac{700}{7} = 100

5 0
3 years ago
Bob deposits $2480 into a savings account at 3% interest. At the end of four years how much simple interest does he earn?
vovikov84 [41]
Ok here’s the equation you can run on the next one
A=P(1+rt) A is total P is current amount or starting amount r is annual interest and t is the amount of time
Your answer is
$297.60
7 0
3 years ago
Reina and Sam are multiplying (8^4)^5 (7^3)^9<br><br> Is either of them correct?
PilotLPTM [1.2K]

Answer:

Sam is correct.

Step-by-step explanation:

Exponent rules state that when an number with an exponent is raised to a power, the two exponents multiply.  For example, a^2^2=a^4.

6 0
3 years ago
Give an example of an infinite set.
Montano1993 [528]
Infinite sets may be countable or uncountable. Some examples are: the set of all integers, {..., -1, 0, 1, 2, ...}, is a countably infinite set; and. the set of all real numbers is an uncountably infinite set.
5 0
3 years ago
Read 2 more answers
1. What percent of 600 is 12?
Ainat [17]

Answer:

2%

Step-by-step explanation:

Set up a proportion

x / 100 = 12 / 600

Cross multiply

600x = 1200

Divide both sides by 600

x = 2

I hope this helped and please mark me as brainliest!

4 0
2 years ago
Read 2 more answers
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