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pav-90 [236]
3 years ago
15

Which expression can be used to determine the length of segment AB? On a coordinate plane, triangle A B C has points (4, 3), (ne

gative 2, 1), (negative 2, 3). StartRoot 2 squared + 6 squared EndRoot StartRoot 2 squared minus 6 squared EndRoot StartRoot 6 squared minus 2 squared EndRoot StartRoot (2 + 6) squared EndRoot
Mathematics
2 answers:
JulijaS [17]3 years ago
7 0

Answer:

StartRoot 2 squared + 6 squared EndRoot

Step-by-step explanation:

we have

A(4,3) and B(-2,1)

we know that

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

substitute the given values

AB=\sqrt{(1-3)^{2}+(-2-4)^{2}}

AB=\sqrt{(-2)^{2}+(-6)^{2}}

AB=\sqrt{40}\ units

therefore

StartRoot 2 squared + 6 squared EndRoot

Arlecino [84]3 years ago
5 0

Answer:

StartRoot 2 squared + 6 squared EndRoot

Step-by-step explanation:

good luck :)

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Is this correct? formula is displayed on image:
Len [333]

Answer:

no it should bee

\tan( \alpha )  =  \frac{15}{8}

7 0
2 years ago
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This table shows a value that represents an exponential function what is the average rate of change for this function for the in
aliya0001 [1]

Answer:

Option A is correct, i.e. 12.

Step-by-step explanation:

Given is the table of x&y relationship which represents an exponential function.

The average rate of change for a function can be found using the following formula:-

F_average = { f(b) - f(a) } / (b-a)

Given a = 3 and b = 5.

From the table, f(3) = 8 and f(5) = 32.

So, F_average = (32-8)/(5-3)

F_average = 24/2 = 12.

Hence, option A is correct, i.e. 12.

4 0
2 years ago
The following table shows the length and width of two rectangles:
faltersainse [42]
The perimeter of these can be found by adding length and width and then multiplying by two. 

Rectangle A: (with all of the variables already doubled)
2x + 16 + 2x - 2 
2x + 2x + 16 - 2
4x + 14
So rectangle A's perimeter is 4x + 14.

Rectangle B: (Still with all the variables already doubled)
8x + 10 + 6x - 4
8x + 6x + 10 - 4
14x + 6
So rectangle B's perimeter is 14x + 6

And now to subtract the two.
(7x + 3) - (4x + 14)
14x + 6 - 4x - 14
14x - 4x + 6 - 14
10x - 8

So it would be C.
5 0
3 years ago
A researcher surveyed 150 high school students and found that 68% played a musical insturment. What would be a reasonable range
maria [59]

Answer:

The reasonable range for the population mean is (61%, 75%).

Step-by-step explanation:

The interval estimate of a population parameter is an interval of values that consist of the values within which the true value of the parameter lies with a certain probability.

The mean of the sampling distribution of sample proportion is, \hat p.

One of the best interval estimate of population proportion is the 95% confidence interval for proportion,

CI=\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}

Given:

n = 150

\hat p = 0.68

The critical value of <em>z</em> for 95% confidence level is:

z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96

Compute the 95% confidence interval for proportion as follows:

CI=\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}

     =0.68\pm1.96\sqrt{\frac{0.68(1-0.68)}{150}}\\\\=0.68\pm 0.0747\\\\=(0.6053, 0.7547)\\\\\approx (0.61, 0.75)

Thus, the reasonable range for the population mean is (61%, 75%).

5 0
3 years ago
Lixins monthly income consists of a basic salary of $500 and a commission of 4percent on her sales for the month.If her income i
Harman [31]

Answer:

Lixins monthly sales = $18,000

Step-by-step explanation:

Let x be the total sales.

Given:

Basic salary = $500

Commission on sales = 4% = 0.04

Monthly income = $1220

We need to find her sales for the month.

Solution:

First we write the equation for given situation:

Total\ sales = Basic\ Salary + 0.04(Total\ sales)

S = 500 + 0.04x

1200=500+0.04x

0.04x=1220-500

0.04x=720

x = \frac{720}{0.04}

x = \$18,000

Therefore, Lixins monthly sales are $18,000.

8 0
3 years ago
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