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dedylja [7]
3 years ago
12

Complete the equation: x2 + 10x +__= (__)^2

Mathematics
2 answers:
Ahat [919]3 years ago
8 0

Answer:

25 should go in the blank.

Step-by-step explanation:

You can factor and get (x + 5)^2, a perfect square trinomial when put into standard form.

Sliva [168]3 years ago
6 0

Answer:

x2 + 10x +25 = (x+5)^2

Step-by-step explanation:

x^2 + 10x

To complete the square

Take the coefficient of x

10

Divide by 2

10/2 =5

Square it

5^2 =25

Add it

x2 + 10x +25

The coefficient of x divided by 2 is the factor we add to x inside the square

(x+5)^2

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Which binomial is a factor of49x^2+84xy+36y^2
Alex17521 [72]

Answer:

(7 x + 6 y)^2

Step-by-step explanation:

Factor the following:

49 x^2 + 84 x y + 36 y^2

The coefficient of x^2 is 49 and the coefficient of y^2 is 36. The product of 49 and 36 is 1764. The factors of 1764 which sum to 84 are 42 and 42. So 49 x^2 + 84 x y + 36 y^2 = 49 x^2 + 42 x y + 42 x y + 36 y^2 = 7 x (7 x + 6 y) + 6 y (7 x + 6 y):

7 x (7 x + 6 y) + 6 y (7 x + 6 y)

Factor 7 x + 6 y from 7 x (7 x + 6 y) + 6 y (7 x + 6 y):

(7 x + 6 y) (7 x + 6 y)

(7 x + 6 y) (7 x + 6 y) = (7 x + 6 y)^2:

Answer: (7 x + 6 y)^2

3 0
3 years ago
Write the equation of the line that passes through (1, -4) and (-4, 5). Put your answer in fully reduced point slope form unless
padilas [110]
Y+4=-9/5*(x-1)
Pls mark brainliest
7 0
4 years ago
Can someone PLEASE tell me the answer to this
Serjik [45]

Answer:

third option is the correct answer

go with the names of the triangle

the triangles are HIJ and LMN

so the ratios will be accordingly

5 0
3 years ago
Read 2 more answers
Hi who can help me do this 2quetion,I will mark brainlest ​
hodyreva [135]

Step-by-step explanation:

8.  log_{10}(2.15)   = 0.332 \: then \:   log_{10}(21500)   = ..... \\  log(21500)  =  log(2.15 \times 10000)  \\   =  log(2.15)  +  log(10000)  \\   = log_{10}(2.15)  +  log_{10}( {10}^{4} )  \\  = 0.332 + 4 log_{10}(10)  \\  = 0.332 + 4(1) \\  log_{10}(21500)  = 4.332

9. log(2)=a, log(3)=b, then log(36)=______

log(36) = log(6*6) = log(6) + log(6)

log(36)= log(6) + log(6)

log(36) = log(3*2) + log(3*2)

log(36) = (log(3) + log(2)) + (log(3) + log(2))

log(36) = (a + b) + (b + a)

log(36) = a + b + b + a

log(36) = 2a + 2b

5 0
3 years ago
Read 2 more answers
HELP DUE IN 15 MINS!
boyakko [2]

Answer:

r = 2\sqrt{5}

(x - 3)^{2} + ( y - 2)^{2} = 20

Is this a live test question or a homework question?

Step-by-step explanation:

the radius is the distance between (3, 2) and (5, -2)

r^{2} = {(3 - 5)^{2} + (2 + 2)^{2}  }

    =  (-2)^{2} + 4^{2}

    =  4 + 16 = 20

r = \sqrt{20 } = 2\sqrt{5}

Equation of circle:   (x - 3)^{2} + ( y - 2)^{2} = 20

8 0
3 years ago
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