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Fed [463]
3 years ago
11

Suppose Y varies directly with X, and Y = 15 and X = 5. Write a direct variation equation that relates X and Y. What is the valu

e of Y when X = 9?
Mathematics
1 answer:
Oksana_A [137]3 years ago
6 0

Answer:

Step-by-step explanation:

If two variables are directly proportional, it means that an increase in the value of one variable would cause a corresponding increase in the other variable. Also, a decrease in the value of one variable would cause a corresponding decrease in the other variable.

Given that Y varies directly with X, and Y = 15 and X = 5, if we introduce a constant of proportionality, k, the expression becomes

15 = 5k

k = 15/5

k = 3

The equation would be

Y = 3X

Therefore, when X = 9, the value of Y would be

Y = 3 × 9

Y = 27

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3 years ago
Please help! (The third one is not supposed to be selected)
Verizon [17]
Let "a", "b" and "с"  be sides of the triangle ("с" is the longest side). The triangle will be right if  a² + b² = c²

A.
a² + b² = 12² + 13² = 144 + 169 = 313
c² = 25² = 625
313 ≠ 625

B.
a² + b² = 36² + 77² = 1296 + 5929 = 7225
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C.
45, 45, 45 ← this is an equilateral triangle (all angles = 60°)
<span>
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Answer is B
4 0
4 years ago
Find the reference angle of 155o. –25o 25o –65o 65o
MatroZZZ [7]

Answer:

The reference angle for 155° is 25°

Step-by-step explanation:

The reference angle is the angle that the angle arm makes with the x-axis be it clock wise or anti-clock wise.

The reference angles are obtained by the following reference

0 - 90° => Angle

90° - 180° => 180 - angle

Our given angle is: 155° so we will use the second rule

The reference angle will be:

180° - 155° = 25°

Hence,

The reference angle for 155° is 25°

7 0
3 years ago
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