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aivan3 [116]
3 years ago
11

#2 Find the segment length indicated. Assume that lines which appear to be tangent are tangent. *

Mathematics
1 answer:
gregori [183]3 years ago
4 0

The angle of a tangent and a radius is a right angle.

The missing length would be the hypotenuse. Use the Pythagorean theorem to solve.

X = SQRT(12^2 + 16^2)

X = SQRT(144 + 256)

x = SQRT(400)

X = 20

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Factor
solmaris [256]

The correct answer is C) (5m^50 - 11n^8) (5m^50 + 11n^8)

We can tell this because of the rule regarding factoring the difference of two perfect squares. When we have two squares being multiplied, we can use the following rule.

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

In this case, or first term is 25m^100. So we can solve that by setting it equal to a^2.

a^2 = 25m^100 -----> take the square root of both sides

a = 5m^50

Then we can do the same for the b term.

b^2 = 121n^16 ----->take the square root of both sides

b = 11n^8

Now we can use both in the equation already given

(a - b)(a + b)

(5m^50 - 11n^16)(5m^50 + 11n^16)

8 0
3 years ago
A professor went to a website for rating professors and looked up the quality rating and also the "easiness" of the six full-tim
Marat540 [252]

We are asked to determine the correlation factor "r" of the given table. To do that we will first label the column for "Quality" as "x" and the column for "Easiness" as "y". Like this:

Now, we create another column with the product of "x" and "y". Like this:

Now, we will add another column with the squares of the values of "x". Like this:

Now, we add another column with the squares of the values of "y":

Now, we sum the values on each of the columns:

Now, to get the correlation factor we use the following formula:

r=\frac{n\Sigma xy-\Sigma x\Sigma y}{\sqrt{(n\Sigma x^2-(\Sigma x)^2)(n\Sigma y^2-(\Sigma y)^2)}}

Where:

\begin{gathered} \Sigma xy=\text{ sum of the column of xy} \\ \Sigma x=\text{ sum of the column x} \\ \Sigma y=\text{ sum of the column y} \\ \Sigma x^2=\text{ sum of the column x\textasciicircum2} \\ \Sigma y^2=\text{ sum of the column y\textasciicircum2} \\ n=\text{ number of rows} \end{gathered}

Now we substitute the values, we get:

r=\frac{\left(6)(70.56)-(25.2)(16.4\right)}{\sqrt{((6)(107.12)-(25.2)^2)((6)(47.82)-(16.4)^2)}}

Solving the operations:

r=0.858

Therefore, the correlation factor is 0.858. If the correlation factor approaches the values of +1, this means that there is a strong linear correlation between the variables "x" and "y" and this correlation tends to be with a positive slope.

7 0
11 months ago
What is the difference between x and dx?
N76 [4]

This response is based upon your having had some background in calculus. "dx" is not introduced before that.

Take a look at the sample function y = f(x) = x^2 + 9. Here x is the independent variable; the dependent variable y changes with x.

Now, for a big jump: we consider finding the area under a curve (graph) between x = a and x = b. We subdivide that interval [a,b] into n vertical slices of area. Each of those slices has its own area: f(x)*dx, where dx represents the width of such subarea. f(x)*dx is the actual subarea. To find the total area under the curve f(x) between x= a and x = b, we add up all of these individual subareas between x = a and x = b. Note that the subinterval width is

b-a

dx = ---------- , and that dx becomes smaller and smaller as the number of

n subintervals increases.

Once again, this all makes sense only if you've begun calculus (particularly integral calculus). Do not try to relate it to earlier math courses.

8 0
3 years ago
PLEASE HELP WITH THESE 4 PROBLEMS
Marizza181 [45]

Answer:

  • y = -5/2x + 5
  • y = 2x -1
  • y = 24/11
  • y = 4x + 4

Step-by-step explanation:

To solve for y, subtract the x-term and divide by the coefficient of y.

5x +2y = 10

  2y = -5x +10

  y = -5/2x + 5

__

2y -4x = -2

  2y = 4x -2

  y = 2x -1

__

7y +4y = 24

  y = 24/11

We assume there is a typo, but cannot tell what it is. Use the same method as described and demonstrated for the other problems.

__

-2x +1/2y = 2

  1/2y = 2x +2

  y = 4x +4

8 0
3 years ago
I need help plz will give brainliest
lesya [120]

Answer:

$10,000

Step-by-step explanation:

Cross multiply and divide by 55.

Hope this helps!

5 0
3 years ago
Read 2 more answers
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