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VARVARA [1.3K]
4 years ago
13

Please answer carefully.

Mathematics
1 answer:
nadezda [96]4 years ago
5 0

Answer:

BC = 21

Step-by-step explanation:

We know that AB + BC = AC

First we need to solve for x so using what we know lets set up the equation.

AB = 7x + 8

BC = 3x + 6

AC = 64

So (7x + 8) + (3x + 6) = 64

Combine like terms and solve.

10x + 14 = 64

10x = 50

x = 5

Now that we know that x = 5, to find the number for BC let's put that into the BC expression

3(5) + 6 = 21

There's your answer. BC = 21

Now if you really wanna make sure you can input the values we've found into the equation we first made.

AB + 21 = 64

7x + 8 + 21 = 64

7(5) + 8 +21 = 64

35 + 29 = 64

64 = 64

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Determine the next step for solving the quadratic equation by completing the square. 0 = –2x2 + 2x + 3 –3 = –2x2 + 2x –3 = –2(x2
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We have that
0 = –2x²<span>+ 2x + 3
</span>

Group terms that contain the same variable, and move the constant to the opposite side of the equation

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the solutions are

x=1.823

x=-0.823

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