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Gennadij [26K]
3 years ago
8

BC = 4x + 2 AB = 8x + 8 and AC = 22 Find BC

Mathematics
1 answer:
Scilla [17]3 years ago
8 0

Answer:

BC = 6.8

Step-by-step explanation:

The distance from A to B, then from B to C, is the same distance as from A to C.

Thus,

AB + BC = AC

AB = 8x + 8

BC = 4x + 2

AC = 22

AB + BC = AC

(8x + 8) + (4x + 2) = 22

Expanding the parenthesis:

8x + 8 + 4x + 2 = 22

8x + 4x + 8 + 2 = 22

12x + 12 = 22

Subtracting 12 from both sides:

12x = 10

Dividing both sides by 12:

x = 10/12 = 1.2

x = 1.2

We're looking for BC. As we know,

BC = 4x + 2

Let's now put in x = 1.2 into this equation:

BC = 4x + 2

BC = 4 * 1.2 + 2

Since 4 * 1.2 is 4.8:

BC = 4.8 + 2

BC = 6.8

Answer: BC = 6.8

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Let us take point Z on the XYZ triangle and see what sequence of transformations we have to apply to map it into the point Z''.

Now Z = (-2, 2) and Z'' = (-7, -1).

The x-coordinate goes from -2 ⇒ -7.

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The x-coordinate is just shifted by -5; thus, x \rightarrow x-5, and the y-coordinate first transforms as y \rightarrow -y, and is then shifted by 1; thus, it transforms as y \rightarrow -y+1.

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(x,y) \rightarrow (x-5,-y+1)

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