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Ostrovityanka [42]
3 years ago
7

What is the relationship between x and y

Mathematics
1 answer:
solong [7]3 years ago
3 0

<u>Given</u>:

Given that the table with values of x and y.

We need to determine the relationship between x and y.

<u>Slope</u>:

The slope of the relation can be determined using the formula,

m=\frac{y_2-y_1}{x_2-x_1}

Substituting the points (2,11) and (4,9), we get;

m=\frac{9-11}{4-2}

m=\frac{-2}{2}

m=-1

Thus, the slope of the relation is m = -1.

<u>y - intercept:</u>

The y - intercept of the relation is the value of y when x = 0.

Hence, from the table, it is obvious that when x = 0, the value of y is 13.

Thus, the y - intercept of the relation is b = 13.

<u>Relationship between x and y:</u>

The relationship between x and y can be determined using the formula,

y=mx+b

Substituting m = -1 and y =13, we get;

y=-x+13

Thus, the relationship between x and y is y=-x+13

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Howard is designing a chair swing ride. The swing ropes are 4 44 meters long, and in full swing they tilt in an angle of 2 3 ∘ 2
qaws [65]

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Howard is designing a chair swing ride. The swing ropes are 4 meters long, and in full swing they tilt in an angle of 23°. Howard wants the chairs to be 3.5 meters above the ground in full swing. How tall should the pole of the swing ride be? Round your final answer to the nearest hundredth.

Answer:

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Step-by-step explanation:

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Height of chair, H= 3.5 m

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