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eimsori [14]
2 years ago
15

Replace the * with a monomial so that the trinomial may be represented by a square of a binomial:

Mathematics
1 answer:
pogonyaev2 years ago
8 0

Answer:

Below in bold.

Step-by-step explanation:

The identity is of the form

(a + b)^2 = a^2 + 2ab + b^2.

a) Sqrt 49 = 7 and we need + 28 as the middle coefficient . We get this with

2*7 + 2*7 so the first coefficient is 2*2 = 4.

So * = 4a^2.

(2a + 7)^2 = (2a + 7)(2a + 7) = 4x^2 + 14a + 14a + 49.

b) -6 * -6 = 36   -24 =  2*-6 + 2 *-6 so the last term is 4x^2

c) The middle term  must be an 'ab' term.

sqrt 6.25 = 2.5 and sqrt 1/4 = 1/2

So the coefficient of the middle term is 2.5 * 1/2 + 2.5 * 1/2

= 2.5

So the middle term is 2.5ab.

d) The first term will be in b^2.

100 = 10* 10 and we need 2 as a middle term so coefficient of the first term

will be  1/100 or 0.01.  as the 2 comes from 0.1 * 10 + 0.01 * 10 and (0.1)^2 = 0.01

So it is 0.01b^2.

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Answer:

the third or fourth one probably

Step-by-step explanation:

4 0
3 years ago
10 = 3x – 8<br><br> what is this
Margaret [11]

Answer:

<u><em>Answer is below</em></u>

Step-by-step explanation:

<u><em>10=3x-8</em></u>

<u><em>always remember to flip the equation</em></u>

<u><em>3x-8=10</em></u>

<u><em>Add 8 to both sides</em></u>

<u><em>3x-8(+8)=10(+8)</em></u>

<u><em>3x=18</em></u>

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<u><em>3x/3=18/3</em></u>

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8 0
3 years ago
Read 2 more answers
I have 7 hundreds blocks, 5 tens blocks, and 8 ones blocks. I use my blocks to model two 3-digit numbers. What could my two numb
kompoz [17]
Thought about it and theres a couple of others but i'm going to say 424-334
7 0
3 years ago
y = c1 cos(5x) + c2 sin(5x) is a two-parameter family of solutions of the second-order DE y'' + 25y = 0. If possible, find a sol
TEA [102]

Answer:

y = 2cos5x-9/5sin5x

Step-by-step explanation:

Given the solution to the differential equation y'' + 25y = 0 to be

y = c1 cos(5x) + c2 sin(5x). In order to find the solution to the differential equation given the boundary conditions y(0) = 1, y'(π) = 9, we need to first get the constant c1 and c2 and substitute the values back into the original solution.

According to the boundary condition y(0) = 2, it means when x = 0, y = 2

On substituting;

2 = c1cos(5(0)) + c2sin(5(0))

2 = c1cos0+c2sin0

2 = c1 + 0

c1 = 2

Substituting the other boundary condition y'(π) = 9, to do that we need to first get the first differential of y(x) i.e y'(x). Given

y(x) = c1cos5x + c2sin5x

y'(x) = -5c1sin5x + 5c2cos5x

If y'(π) = 9, this means when x = π, y'(x) = 9

On substituting;

9 = -5c1sin5π + 5c2cos5π

9 = -5c1(0) + 5c2(-1)

9 = 0-5c2

-5c2 = 9

c2 = -9/5

Substituting c1 = 2 and c2 = -9/5 into the solution to the general differential equation

y = c1 cos(5x) + c2 sin(5x) will give

y = 2cos5x-9/5sin5x

The final expression gives the required solution to the differential equation.

3 0
3 years ago
16. J.D. opened a savings account with $425. After
snow_lady [41]

Answer:

1.2%

Step-by-step explanation:

Solving our equation

r = 10.2 / ( 425 × 2 ) = 0.012

r = 0.012

converting r decimal to a percentage

R = 0.012 * 100 = 1.2%/year

The interest rate required to

accumulate simple interest of $ 10.20

from a principal of $ 425.00

over 2 years is 1.2% per year.

8 0
2 years ago
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