What is the constant of proportionality?

To factor 9x^2 - 4, you can first rewrite the expression as:

olga2289 [7]

Answer:

C. (3x)^2 - (2)^2

Step-by-step explanation:

Each of the two terms is a perfect square, so the factorization is that of the difference of squares. Rewriting the expression to ...

(3x)^2 - (2)^2

highlights the squares being differenced.

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We know the factoring of the difference of squares is ...

a^2 -b^2 = (a -b)(a +b)

so the above-suggested rewrite is useful for identifying 'a' and 'b'.

4 0

3 years ago

Find value of x <br> How do I find the solution to this?

SashulF [63]

Adding all of these should equal to 180 from the way the angle is set up.

So the equation should be:

(3x + 2) + (2x + 5) + (2x - 9) = 180

You can remove parentheses as it doesn’t affect the equation since it is all addition.

Let’s first add the common variables together.

3x + 2x + 2x = 7x
2 + 5 + (-9) = -2

So now we should have:

7x - 2 = 180

Now add 2 to both sides.

7x = 182

Divide both sides by 7 to isolate x.

x = 26

So x is 26.

3 0

3 years ago

Read 2 more answers

Finding the Area of a Triangle

nignag [31]

Answer: 1, 3, 6

Step-by-step explanation:

8 0

2 years ago

Assume that females have pulse rates that are normally distributed with a mean of u = 75.0 beats per minute and a standard devia

Elan Coil [88]

Answer:

36.88% probability that her pulse rate is between 69 beats per minute and 81 beats per minute.

Step-by-step explanation:

Problems of normally distributed samples are 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:

$\mu = 75, \sigma = 12.5$