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3 years ago

What is the best next step in the construction of a line that passes through B and is perpendicular to line A?

Mathematics

1 answer:

Mashutka [201]3 years ago

5 0

Answer:The answe is D

Step-by-step explanation:

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Simplify 4(x-3) + 2x e5

V125BC [204]

4X-12+2Xe5
6Xe5-12 IS THE ANSWER

6 0

3 years ago

The accompanying data on x = current density (mA/cm2) and y = rate of deposition (m/min)μ appeared in a recent study.

gtnhenbr [62]

Answer:

a) $r=\frac{4(333)-(200)(5.37)}{\sqrt{[4(12000) -(200)^2][4(9.3501) -(5.37)^2]}}=0.9857$

The correlation coefficient for this case is very near to 1 so then we can ensure that we have linear correlation between the two variables

b) $m=\frac{64.5}{2000}=0.03225$

Now we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{200}{4}=50$

$\bar y= \frac{\sum y_i}{n}=\frac{5.37}{4}=1.3425$

$b=\bar y -m \bar x=1.3425-(0.03225*50)=-0.27$

So the line would be given by:

$y=0.3225 x -0.27$

Step-by-step explanation:

Part a

The correlation coeffcient is given by this formula:

$r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}$

For our case we have this:

n=4 $\sum x = 200, \sum y = 5.37, \sum xy = 333, \sum x^2 =12000, \sum y^2 =9.3501$

$r=\frac{4(333)-(200)(5.37)}{\sqrt{[4(12000) -(200)^2][4(9.3501) -(5.37)^2]}}=0.9857$

The correlation coefficient for this case is very near to 1 so then we can ensure that we have linear correlation between the two variables

Part b

$m=\frac{S_{xy}}{S_{xx}}$

Where:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=12000-\frac{200^2}{4}=2000$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i){n}}=333-\frac{200*5.37}{4}=64.5$

And the slope would be:

$m=\frac{64.5}{2000}=0.03225$

Now we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{200}{4}=50$

$\bar y= \frac{\sum y_i}{n}=\frac{5.37}{4}=1.3425$

And we can find the intercept using this:

$b=\bar y -m \bar x=1.3425-(0.03225*50)=-0.27$

So the line would be given by:

$y=0.3225 x -0.27$

4 0

3 years ago

Which expressions are equivalent to 23? Choose all that apply.

barxatty [35]

A
C
D
You can find the answers by dividing

7 0

3 years ago

Read 2 more answers

A trapezoid has bases with lengths of 1.5 yards and 4 yards. The height is 12 yards. What is the area of the trapezoid?

Georgia [21]

Answer: 33 square yards

Explanation: To solve this, we must first add both bases together, 1.5 and 4.

1.5 + 4 = 5.5

Next, we must multiply 5.5 and 12

12 x 5.5 = 66

The last step is to divide our product by 2, similar what we do to triangles.

66/2 = 33
—————————————————————

Hope this helps!!

4 0

2 years ago

P(x) = 8x² + 7x² + 2x + 4

Naddik [55]

Answer:

P(x) = 15x^2 + 2x + 4

Step-by-step explanation:

To simplify:

combine like terms

8x^2 + 7x^2 = 15x^2

There are no other like terms.

This equation cannot be simplified any further with the given information.

P(x) = 15x^2 + 2x + 4

5 0

3 years ago