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IrinaVladis [17]
3 years ago
11

Complete the square for 5x^2 – 30x = 5.

Mathematics
1 answer:
Yuri [45]3 years ago
7 0
First, subtract 5 from both sides, leaving you with 5x^{2} - 30x - 5 = 0
If you use the quadratic formula (a=5), (b=-30), (c=-5)

x=-b +/- √b²-4ac / 2a

x= -(30) +/- √(30)² - 4(5) * (-5) / 2(5)

x= 30 +/- √1000 / 10

x = 3 +/- √10
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Which is equivalent to 42x +49.
Semmy [17]

Answer:

D. 7 (6x+7)

Step-by-step explanation:

Factor  7  out of  42x  +  49

4 0
3 years ago
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Francesca is growing 1/2 inch each year. How many years will it take her to grow 6 inches?
tresset_1 [31]

Answer:

3 years.

6÷ .5= 3

edit:

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12 years.

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AC = 4, AE = 7, AD = 10, what is the length of AB?
Nataly [62]
I think its C but I could be wrong.
                                                          I hope this helps :)
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3 years ago
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They have a rectangle ABCD as shown below, where AB = 24cm BC = 10cm and AE = 13cm
alex41 [277]

Answer:

A. Area of ABCD = 240 cm^{2}

B. 60 cm

C. 36 cm

D. 50 cm

Step-by-step explanation:

Given: AB = 24cm BC = 10cm and AE = 13cm.

A.  Since a rectangle is a 2 dimensional figure, it has no volume but area.

So that,

the area of the rectangle ABCD = length x width

                                                     = 24 x 10

                                                     = 240 cm^{2}

B. To calculate the circumference of the BCD triangle, apply the Pythagoras theorem to determine BD.

BD^{2} = BC^{2} + DC^{2}

       = 10^{2} + 24^{2}

       = 676

BD = \sqrt{676}

     = 26

BD = 26 cm

so that,

the circumference of BCD = 10 + 24 + 26

                                         =   60 cm

C. To calculate the circumference of the BEC triangle,

AC = 26 cm, AE = 13 cm

CE = 26 - 13

     = 13 cm

CE = 13 cm

The circumference of the BEC triangle = 13 + 13 + 10

                                                                 = 36 cm

D. The circumference of the DEC triangle = 13 + 13 + 24

                                                                 = 50 cm

       

7 0
3 years ago
Jane thinks of two numbers. The Highest common factor is 3 and the lowest common multiple is 45.Write down two numbers that Jane
Nutka1998 [239]

Answer:

The number Jane is thinking of is 42.

Step-by-step explanation:

45-3

=42

Vous êtes les bienvenus...

3 0
3 years ago
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