1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
nasty-shy [4]
3 years ago
6

Which equation is equivalent to √x^2+81 = x+10

Mathematics
2 answers:
Yuki888 [10]3 years ago
6 0

Answer:

D on edg

Step-by-step explanation:

jeka57 [31]3 years ago
4 0

Keywords:

<em>equation, operations, equivalent, binomial, square root </em>

For this case we have an equation in which we must apply operations to rewrite it in an equivalent way. We must start by raising both sides of the equation to the square. Thus, we eliminate the square root of the left side of equality and finally solve the binomial of the right side of equality.

So we have:

\sqrt {x ^ 2 + 81} = x + 10\\(\sqrt {x ^ 2 + 81}) ^ 2 = (x + 10) ^ 2\\x ^ 2 + 81 = (x + 10) ^ 2

By definition:(a + b) ^ 2 = a ^ 2 + 2ab + b ^ 2

x ^ 2 + 81 = x ^ 2 + 2 (x) (10) + (10) ^ 2\\x ^ 2 + 81 = x ^ 2 + 20x +100

Thus, x ^ 2 + 81 = x ^ 2 + 20x +100 is equivalent to \sqrt {x ^ 2 + 81} = x + 10

Answer:

x ^ 2 + 81 = x ^ 2 + 20x +100

Option D

You might be interested in
What’s is the answer
kvasek [131]

When you are multiplying an exponent directly into a number/variable with an exponent, you multiply the exponents together.

For example:

(x^{2} )^{3} = x^6

(x^{3} )^5=x^{15}


When you are multiplying a variable with an exponent by another variable with an exponent, you add the exponents together.

For example:

(x^{2} )(x^{3})=x^{5}

(x^{1} )(x^{2})=x^{3}


(\frac{(x^{-3})(y^{2})}{(x^{4})(y^{6})} )^{3}=\frac{(x^{-9})(y^{6})}{(x^{12})(y^{18})}

You multiply 3 into each exponent in the numerator and the denominator

\frac{(x^{-9})(y^{6})}{(x^{12})(y^{18})}= \frac{y^{6}}{(x^{9})(x^{12})(y^{18})}

When you have a negative exponent, you move it to the other side of the fraction to make the exponent positive.

\frac{y^{6}}{(x^{21})(y^{18})} = \frac{1}{(x^{21})(y^{12})}


When you have something like this:

\frac{x^{2}}{x^5}

You subtract the exponents together, so:

\frac{x^2}{x^5} = x^{2-5} = x^{-3} = \frac{1}{x^3}


Your answer is the second option

3 0
3 years ago
Plz help me i dotn know this
miv72 [106K]

Answer:

it's D. I think 105 cubic feet

3 0
3 years ago
Read 2 more answers
Uma caixa contém 40 bolinhas de jogo de tênis, sendo 10 verde, 14 azuis e 16 vermelhas. Retirando uma bola ao acaso da caixa, qu
crimeas [40]

Answer:

p = 15/40

Step-by-step explanation:

Since the total number of marbles is 40, that is our size of the sample. there are 16 red ones on that sample, so the probability of extracting a red marble from the box is given by the ratio of successes divided the total number of marbles:

p = 15/40

3 0
3 years ago
An electrical firm manufactures light bulbs that have a length of life that is approximately normally distributed, with mean equ
kompoz [17]

Answer:

0.62% probability that a random sample of 16 bulbs will have an average life of less than 775 hours.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation \frac{\sigma}{\sqrt{n}}

Normal probability distribution.

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 800, \sigma = 40, n = 16, s = \frac{40}{\sqrt{16}} = 10

Find the probability that a random sample of 16 bulbs will have an average life of less than 775 hours.

This probability is the pvalue of Z when X = 775. So

Z = \frac{X - \mu}{s}

Z = \frac{775 - 800}{10}

Z = -2.5

Z = -2.5 has a pvalue of 0.0062. So there is a 0.62% probability that a random sample of 16 bulbs will have an average life of less than 775 hours.

5 0
3 years ago
The parking garage at the airport has 4750 empty parking spaces and 250 full parking spaces. What percent of the spaces in the g
KiRa [710]

Answer:

I'd say around 95% or 94.737%

Step-by-step explanation:

4750 - 250 = 4500

4750/250 = 1/19

1/19 = 0.052 or close to 5%

4750 x 94.737% = 4500.0075

I hope this helps!

3 0
2 years ago
Other questions:
  • The lines below are perpendicular if the slope of the green line is 2/3 what is the slope do the red line
    9·1 answer
  • The formula used to convert temperature measurements from degrees Fahrenheit (F) to degrees Celsius (C) is shown below. What is
    12·1 answer
  • How to solve -11b+7=40
    10·2 answers
  • A sign company charges $28 per yard for each custom made banner. Ms. Gill orders two banners that are each 1 7/8 yards yards lon
    8·1 answer
  • If you help me get this Right, i will mark you as brilliance, AND rate your answer as 5 stars, and give you a thanks BUT only if
    6·1 answer
  • 980×960=<br> what is the answer
    13·1 answer
  • Find the 83rd term of the arithmetic sequence -23, -26, -29, I need help
    9·2 answers
  • Jade and Henry work for a company that sells buckets of popcorn. The company wants to have a special offer.
    15·1 answer
  • Pls help me with this page I used all of my points
    11·1 answer
  • Which measure of center is the most appropriate for the data in Table 2 (Weight)? Give a reason for your answer.
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!