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Vinvika [58]
2 years ago
9

Complete the square.

Mathematics
1 answer:
Charra [1.4K]2 years ago
8 0

Answer:

+ 100

Step-by-step explanation:

Given

m² - 20m

To complete the square

add ( half the coefficient of the m- term )² to m² - 20m

m² + 2(- 10)m + (- 10)²

= m² - 20m + 100 = (m - 10)² ← perfect square

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The line PQ has equation 3x – 2y = 12. P is a point with coordinates (6, 3) and Q is the point
blondinia [14]

Answer:

  1. -9
  2. 2x + 3y = 21
  3. 4√5

Step-by-step explanation:

1. Put the point values in the equation where x and y are, then solve.

... 3(-2) -2k = 12

... -6 -2k = 12 . . . . eliminate parentheses

... -2k = 18 . . . . . . .add 6

... k = -9 . . . . . . . . . divide by -2

2. The perpendicular line will have a slope that is the negative reciprocal of the slope of the given line. The equation for it can be found by swapping the x- and y-coefficients and negating one of them. Then, to make the line go through point (h, k), replace the constant with zero and replace x with (x-h) and y with (y-k).

... 2(x -6) +3(y -3) = 0 . . . . . a line through P perpendicular to PQ

... 2x + 3y = 21

3. The Pythagorean theorem is used for finding the lengths of line segments. The difference in coordinates between P and R is ...

... P - R = (6, 3) - (2, -5) = (6-2, 3-(-5)) = (4, 8)

The length of segment PR can be considered to be the length of the hypotenuse of a right triangle with these leg lengths.

... ║PR║ = √(4² +8²) = √80

... ║PR║ = 4√5

8 0
2 years ago
he frequency table represents the job status of a number of high school students. A 4-column table with 3 rows titled job status
cluponka [151]

Based on the above, the option that shows the conditional relative frequency table by column is known as option C.

<h3>What is conditional relative frequency table?</h3>

Column conditional relative frequencies is one that is said to  be put together or also computed through the act of dividing each frequency in a frequency table by their other column total to form a column conditional relative frequency table.

Note that Column conditional relative frequencies is one that shows the proportions, or relative frequencies,  through the use of the column totals and as such the option that tells us about this is option c which is:

A graph that has 4-column table with 3 rows titled job status. The first column has no label with entries currently employed, not currently employed, total. The second column is labeled looking for a job with entries 0.24, 0.76, 1.0. The third column is labeled not looking for a job with entries 0.28, 0.72, 1.0. The fourth column is labeled total with entries nearly equal to 0.27, nearly equal to 0.73, 1.0.

See options below

Which shows the conditional relative frequency table by column?

A.  A 4-column table with 3 rows titled job status. The first column has no label with entries currently employed, not currently employed, total. The second column is labeled looking for a job with entries 0.3, nearly equal to 0.33, 1.0. The third column is labeled not looking for job with entries 0.7, nearly equal to 0.65, 1.0. the fourth column is labeled total with entries nearly equal to 0.27, nearly equal to 0.73, 1.0.

B.    A 4-column table with 3 rows titled job status. The first column is blank with entries currently employed, not currently employed, total. The second column is labeled Looking for a job with entries 0.12, 0.38, 050. The third column is labeled not looking for a job with entries 0.28, 0.72, 1.00. The fourth column is labeled total with entries 0.4, 1.1, 1.5.

C.   A 4-column table with 3 rows titled job status. The first column has no label with entries currently employed, not currently employed, total. The second column is labeled looking for a job with entries 0.24, 0.76, 1.0. The third column is labeled not looking for a job with entries 0.28, 0.72, 1.0. The fourth column is labeled total with entries nearly equal to 0.27, nearly equal to 0.73, 1.0.

D.   A 4-column table with 3 rows titled job status. The first column has no label with entries currently employed, not currently employed, total. The second column is labeled looking for job with entries 0.08, nearly equal to 0.25, nearly equal to 0.33. The third column is labeled not looking for a job with entries nearly equal to 0.19, 0.48, nearly equal to 0.67. The fourth column is labeled total with entries nearly equal to 0.27, nearly equal to 0.73, 1.0.

Learn more about relative frequency from

brainly.com/question/3857836

#SPJ1

3 0
1 year ago
Anyone can help me please?
8_murik_8 [283]

X = <u> </u><u>2</u><u> </u><u> </u>cm

Y =<u> </u><u>1</u><u>. </u>cm

Check me if I'm Wrong.

3 0
2 years ago
Solve the system of linear equations by graphing x - 3y = 3 4x + 3y = - 3​
Colt1911 [192]

Answer:

Assuming your equations are:

x-3y=3

4x+3y=-3

The answers are x = 0 and y = -1.

See the image for the graph.

If this solution helped you, consider upvoting it and giving a brainliest!

Step-by-step explanation:

See the image for the graph.

3 0
2 years ago
If U = {a, b, c, d, e, f, g, h}, A= {a, b, c, d, e) and B= {c, d, e, f, g), find A-B and A nB. ​
Assoli18 [71]

<em>here</em><em>,</em>

U = {a, b, c, d, e, f, g, h}, A= {a, b, c, d, e) and B= {c, d, e, f, g),

now,

A-B = {a,b}

A n B = { c,d,e}

3 0
2 years ago
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