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qwelly [4]
3 years ago
11

Which of the following is the result of the equation below after completing the square and factoring? x^2-4x+2=10

Mathematics
1 answer:
Tamiku [17]3 years ago
6 0

9514 1404 393

Answer:

  B. (x-2)^2=12

Step-by-step explanation:

The constant that completes the square is the square of half the coefficient of the x-term. That value is (-4/2)^2 = 4.

There is already a constant of 2 on the left side of the equal sign, so we need to add 2 to both sides to bring that constant value up to 4.

  x^2 -4x +2 = 10 . . . . . . . given

  x^2 -4x +2 +2 = 10 +2 . . . . complete the square (add 2 to both sides)

  (x -2)^2 = 12 . . . . . . . . . write as a square

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Write the equation of the circle centered at ( 4 , − 5 ) with radius 18.
Free_Kalibri [48]

Answer:

(x-4)^2 + (y+5)^2 = 324

Step-by-step explanation:

The equation of a circle is given by the equation (x-h)^2 + (y-k)^2 = r^2, where (h,k) is the center point of the circle.

Therefore, since the center point of the circle and the radius is given, we can just plug the numbers into the formula:

(x-4)^2 + (y+5)^2 = 18^2

<u>(x-4)^2 + (y+5)^2 = 324</u>

3 0
3 years ago
The hourly cost of renting office space in Manhattan is shown by the graph below. The hourly cost of renting office space in Bro
Liula [17]

Answer:

Brooklyn is more expensive

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Iris weighed 5 large watermelons from her garden. Here are the weights in pounds. 17,11,21,24,22 what is the mean weight
Rufina [12.5K]

Answer:

Mean weight = 19 pounds

Step-by-step explanation:

From the question given above, the following data were obtained:

17, 11, 21, 24, 22

Number of data (n) = 5

Mean weight =?

The mean of a set of data is the value obtained by adding all the data together and dividing the result obtained by the total number of data. Thus, the mean can be obtained as follow:

Summation of data = 17+ 11 + 21 + 24 + 22

= 95

Number of data = 5

Mean = Summation of data / Number of data

Mean = 95 / 5

Mean weight = 19 pounds

Therefore, the mean weight of the data is 19 pounds

5 0
3 years ago
This question is WORTH 15 POINTS
masha68 [24]
3x² - 33x - 180 = 0
3(x² - 11x - 60) = 0
3(x² - 15x + 4x - 60) = 0
3(x + 4)(x - 15) = 0
3(x - 4) = 0 or x - 15 = 0
3x - 12 = 0     <u>  + 15  + 15</u>
<u>    + 12 + 12</u>           x = 15
       <u>3x</u> = <u>12</u>
        3      4
         x = 3

The answer is equal to H.15 and E. 4.
8 0
3 years ago
Harrison rode his bike 6/10 Of a mile to the park shade the model then write 6/10 as a decimal to show how far Harrison rode his
alexira [117]
6/10 as a decimal would be 0.6
4 0
3 years ago
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