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krok68 [10]
3 years ago
15

What are two different ways you could find the value of a? Explain these methods. A right triangle is shown. An altitude is draw

n from the right angle to the opposite side to form 2 line segments with lengths 9 and 16. The length of the other 2 sides are 15 and a.
Mathematics
2 answers:
Yuliya22 [10]3 years ago
3 0

Answer: You could use the Pythagorean theorem, since you know the length of the hypotenuse is 9 + 16 = 25 units and the length of one leg is 15 units. To find the value of a, use the relationship that the the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs. You could also use the geometric mean (leg) theorem, which states that the length of the hypotenuse is to the length of an adjacent leg as that adjacent leg length is to the length of its corresponding segment in the hypotenuse. So you could write and solve the proportion 25/a = a/6.

Step-by-step explanation:

trapecia [35]3 years ago
3 0

Answer:

You could use the Pythagorean theorem, since you know the length of the hypotenuse is 9 + 16 = 25 units and the length of one leg is 15 units. To find the value of a, use the relationship that the the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs. You could also use the geometric mean (leg) theorem, which states that the length of the hypotenuse is to the length of an adjacent leg as that adjacent leg length is to the length of its corresponding segment in the hypotenuse. So you could write and solve the proportion 25/a = a/16.

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One function has an equation in slope-intercept form: y = x + 5. Another function has an equation in standard form: y + x = 5. E
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Without converting the equations to the same form, the property that must be different in the functions is the slope

<h3>How to determine the difference in the properties of the functions?</h3>

From the question, the equations are given as

y = x + 5

y + x = 5


From the question, we understand that:

The equations must not be converted to the same form before the question is solved

The equation of a linear function is represented as

y = mx + c

Where m represents the slope and c represents the y-intercept

When the equation y = mx + c is compared to y = x + 5, we have

Slope, m = 1

y-intercept, c = 5

The equation y = mx + c can be rewritten as

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When the equation y - mx = c is compared to y + x = 5, we have

Slope, m = -1

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By comparing the properties of the functions, we have

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Hence, the different properties of the functions are their slopes

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1 year ago
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What is the y intercept of y=3/2x-3
dimaraw [331]
Y = 3/2 x - 3

Matching the equation with y = mx + b where b is the y-intercept, we can identify the y-intercept as -3.

-------------------------------------
Answer: y-intercept = -3
-------------------------------------
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3 years ago
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