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Anuta_ua [19.1K]
3 years ago
5

Complete the square and put this function in vertex form: f(x)=x^2+20x+97

Mathematics
1 answer:
Fofino [41]3 years ago
3 0

Answer:

Step-by-step explanation:

f(x)=(x²+20x+100) -3  because : 97 = 100 -  3

f(x) = (x+10)² -3 ....vertex form

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The perimeter of a rectangle is 58.8 km, and its diagonal length is 21 km. Find its length and width
Oliga [24]
Length: 16.8 or 12.6
Diagonal 21
5 0
3 years ago
Read 2 more answers
Two number cubes are rolled for two separate events:
andrew11 [14]

Answer:  \bold{P(B|A)=\dfrac{P(B\cap A)}{P(A)}=\dfrac{11}{30}}

<u>Step-by-step explanation:</u>

The probability of Event B given Event A = the intersection of Event A and B divided by the probability of Event A. (see below for the symbols)

P(B|A)=\dfrac{P(B\cap A)}{P(A)}

P(A) = (1, 6), (1, 5), (1, 4), (1, 3), (1, 2), (1, 1)

          (2, 6), (2, 5), (2, 4), (2, 3), (2, 2), (2, 1)

          (3, 6), (3, 5), (3, 4), (3, 3), (3, 2), (3, 1)

                    (4, 5), (4, 4), (4, 3), (4, 2), (4, 1)

                              (5, 4), (5, 3), (5, 2), (5, 1)

                                        (6, 3), (6, 2), (6, 1)

       = 30

P(B) = (1, 2), (2, 1)                                   sum = 3

          (1, 5), (2, 4), (3, 3), (4, 2), (5, 1)    sum = 6

          (3, 6), (4, 5), (5, 4), (5, 4), (6, 3)  sum = 9

          (6, 6)                                           sum = 12

                       

      = 12

P(A ∩ B) =  (1, 2), (2, 1)

                  (1, 5), (2, 4), (3, 3), (4, 2), (5, 1)

                  (3, 6), (4, 5), (5, 4), (5, 4), (6, 3)

             = 11

7 0
3 years ago
The perimiter of each face of a rubiks cube is 22.2 centimeters. What is the length of and edge of the rubiks cube?
ivanzaharov [21]

Answer:

3.7 cm

Step-by-step explanation:

22.2 / 6 = 2.7

Hope that helps!

5 0
3 years ago
-30-0.6k <br>what does k equal?​
Fed [463]

Answer:

K would equal to:

K= 50

Hope that helps! :)

Step-by-step explanation:

3 0
3 years ago
The ratio of boys to girls in a classroom is 7 to 11. If
Vesna [10]

Answer:

Step-by-step explanation:

The ratio of boys to girls is

7

:

11

, and there are

49

boys, so therefore there are

49

7

⋅

11

=

77

girls

Total number of boys and girls in the classroom is

77

+

49

=

126

.

5 0
3 years ago
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