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2 years ago

Which of the following relations is a function?

Mathematics

1 answer:

34kurt2 years ago

5 0

Answer:

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3 years ago

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3 years ago

One leg of a right triangle is 7 inches longer than the other leg, and the hypotenuse is 35 inches. Find the lengths of the legs

lilavasa [31]

Answer: 21, 28

Step-by-step explanation:

Side #1 = x
Side #2 = x + 7
Hypotenuse = 35

Use the Pythagorean Theorem $a^{2}+b^{2}=c^{2}$ :

a = x
b = x + 7
c = 35

Substitute in the values & solve:

$x^{2}+(x+7)^{2}=35^{2}\\x^{2}+x^{2}+14x+49=1225\\2x^{2}+14x+49-1225=0\\2x^{2}+14x-1176=0\\2(x^{2}+7x-588)=0\\2(x + 28)(x - 21)=0\\x_{1}=-28, x_{2}=21$

<em><u>-28 is not a possible solution since you can't have negative inches...</u></em>

a = x = 21
b = x + 7 = 21 + 7 = 28
c = 35

6 0

2 years ago

Use the table. Make a scatter plot relating the distance of various cities from the metro area to the population of the cities.

Dafna11 [192]

Answer:

Option (A)

Step-by-step explanation:

From the table attached,

Independent variable 'x' is will be represented by the distance from Metro area.

Similarly, dependent variable 'y' will be on y-axis.

Scatter plot relating the distances of various cities from the metro area (x) to the population of the cities (y) will be represented by the ordered pair as (x, y).

Set of ordered pairs to be plotted,

[(1, 300), (5, 275), (10, 208), (15, 135), (20, 108)]

Therefore, graph given in Option (A) will be the answer.

4 0

2 years ago