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Sauron [17]
4 years ago
14

Find x, y, and z. Multiple choice answers are below!

Mathematics
1 answer:
labwork [276]4 years ago
7 0

Answer:

<u>The correct answer is B. x ≈ 4.5, y = 5, z = 9</u>

Step-by-step explanation:

1. We will use the Pythagorean theorem for solving for x, this way:

x² = 6² - 4²

x² = 36 - 16

x² = 20

x = √20

x = 2 √5 = 4.47 ≈ 4.5

2. For solving for y, we will do it this way:

There are only two possible options: y = 5, included in answer B or y = 9 as it is defined on answer C.

If we review it carefully, we will realize that y = 9 is not accurate because as we can see in the graph y + 4 = z and in this specific case, 9 + 4 ≠ 5 but it's true that 5 + 4 = 9.

<u>Because of this reason, the correct answer is B. x ≈ 4.5, y = 5, z = 9</u>

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Which expressions simplify to a rational answer?<br> Select each correct answer.
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Solve 2x2 - 8x = -7.<br> -2+2<br> -2+212<br> 24 v2<br> 2t<br> 2+2<br> 2
oksano4ka [1.4K]

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x

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3 years ago
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Suppose A, R, and B are collinear on AB, and AR:AB= 1/5. What are the coordinates of R?
AfilCa [17]

Answer:

R(1.6, 0)

Step-by-step explanation:

Use the formula, (x, y) = (x_1 + k(x_2 - x_1), y_1 + k(y_2 - y_1)) to find the coordinates of point R, that partition the lie segment AB into the ratio 1/5.

Let,

A(1, -1) = (x_1, y_1)

B(4, 4) = (x_2, y_2)

Thus, plug in the values as follows:

R(x, y) = (1 + \frac{1}{5}(4 - 1), -1 + \frac{1}{5}(4 -(-1))

R(x, y) = (1 + \frac{1}{5}(3), -1 + \frac{1}{5}(4 + 1)

R(x, y) = (1 + \frac{1}{5}(3), -1 + \frac{1}{5}(5)

R(x, y) = (1 + \frac{3}{5}, -1 + \frac{5}{5})

R(x, y) = (\frac{5 + 3}{5}, -1 + 1)

R(x, y) = (\frac{8}{5}, 0)

R(x, y) = (1.6, 0)

The coordinates of point R, are (1.6, 0)

7 0
4 years ago
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