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4 years ago

Help plz! (a + b - c)(a + b + c) multiplying polynomials

Mathematics

1 answer:

saul85 [17]4 years ago

5 0

Answer:

a^2 + 2ab + b^2 - c^2

Step-by-step explanation:

When you multiply all the terms together you get a^2 + ab + ac + ab + b^2 + bc - ac - bc - c^2. Then you can just combine like terms and simplify it to a^2 + 2ab + b^2 - c^2. Hope this helps :)

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Given: prove:x=15<br> Statements and reasons

nlexa [21]

Answer:

i think question is not clear

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3 years ago

City planners are creating a 3-dimenslonal model of a city park to find the best placement for a new tennis court the city park

xxTIMURxx [149]

The dimension of the tennis court in the scaled model is 0.6 ft long and 0.3 ft wide.

Given, a rectangular plot of land that is 1,500 ft long and 600 ft wide the scale model of the park measures 7.5 ft x 3 ft.

The actual tennis court must be 120 ft long and 60 ft wide, then we need to find the dimensions of the tennis court in the scale model.

<h3>What is a scaled model?</h3>

A scale model is a physical model which is geometrically similar to an object. Scale models are generally smaller than large prototypes such as vehicles, buildings, or people.

First, divide the original measurements by the scaled ones. We get

1500 ft. ÷7.5 ft = 200

600 ft. ÷ 3 ft. = 200

Now, divide tennis courts actual dimensions by 200. That is

120 ft. ÷ 200 = 0.6 ft

60 ft. ÷ 200 = 0.3 ft

Therefore, the dimension of the tennis court in the scaled model is 0.6 ft long and 0.3 ft wide.

To learn more about scale factor visit:

brainly.com/question/22312172.

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5 0

2 years ago

Suppose that in a certain population, individuals’ heights are approximately nor-mally distributed with parametersμ=70 andσ=3 in

ruslelena [56]

Answer:

a) 25.14% of the population is over 6ft tall.

b) Both are going to be normally distributed.

Centimeters: $\mu = 177.8, \sigma = 7.62$ cm

Meters: $\mu = 1.778, \sigma = 0.0762$ cm

Step-by-step explanation:

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:

Normally distributed with parameters $\mu = 70, \sigma = 3$ .

a.What proportion of the population is over 6 ft. tall?

We have to convert from ft to inches.

Each feet has 12 inches, so 6ft = 72in.

This proportion is 1 subtracted by the pvalue of Z when $X = 72$ . So

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

$Z = \frac{72 - 70}{3}$

$Z = 0.67$

$Z = 0.67$ has a pvalue of 0.7486.

This means that 1-0.7486 = 0.2514 = 25.14% of the population is over 6ft tall.

b.What is the distribution of heights if they are expressed in centimeters? Inmeters?

It is going to still be normally distributed. We just have to convert the mean and the standard deviation from inches to centimeters and meters.

In centimeters.

Each inch has 2.54cm. So it is going to be normally distributed with $\mu = 70*2.54 = 177.8$ cm and $\sigma = 3*2.54 = 7.62$ xm

In meters

Each m has 100cm. So

$\mu = 1.778$ m, $\sigma = 0.0762$ m.

7 0

4 years ago

PLEASE HELP ME PLEASE PLEASE !

Anettt [7]

Y = 3^x . . . . FALSE . . . . . (compare to the graph on the next page)

y = 2^(x-1) +2 . . . . TRUE

y = 4^x . . . . TRUE . . . . . (same as the graph on the first page)

y = 2^(x -3) . . . . selection A

6 0

4 years ago

Read 2 more answers

Answer choices<br>O JI and HI <br>O GJ and JI <br>O GJ and GH<br> GH and HI

Alla [95]

Answer:

B or A but i worked it out on a paper and its leading me towards A

Step-by-step explanation:

7 0

3 years ago