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3 years ago

A triangle with side lengths of 8, 15, and 17.5 form a right triangle.

Mathematics

1 answer:

klasskru [66]3 years ago

7 0

9514 1404 393

Answer:

false

Step-by-step explanation:

You can check to see if the sum of squares of the smaller two numbers is equal to the square of the larger.

8² +15² vs 17.5²

64 +225 vs 306.25

At this point, you need go no further. The sum of two integers will not have a fractional part, so cannot be equal to 306.25.

289 vs 306.25 . . . . the long side is too long for a right triangle.

If you were familiar with some of the Pythagorean triples, you would know that the closest triple is {8, 15, 17}, so (8, 15, 17.5) does not represent a right triangle.

A few common Pythagorean triples are ...

{3, 4, 5}, {5, 12, 13}, {7, 24, 25}, {8, 15, 17}, {9, 40, 41}

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Simplify the expression.

alexira [117]

we have

$\sqrt[4]{768x^{8}y^{5}}$

we know that

$\sqrt[4]{768x^{8}y^{5}}=({768x^{8}y^{5})^{\frac{1}{4}}$

$768=2^{8} *3$

$({768x^{8}y^{5})^{\frac{1}{4}}=({2^{8}3x^{8}y^{5})^{\frac{1}{4}}$

$({2^{8}3x^{8}y^{5})^{\frac{1}{4}}=2^{2} x^{2}y (3y)^{\frac{1}{4}}=4x^{2}y\sqrt[4]{3y}$

therefore

<u>the answer is the option C</u>

$4x^{2}y\sqrt[4]{3y}$

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3 years ago

Read 2 more answers

Given that y varies directly as x and inversely 2m-1 and that y=5 when x-7 and m=4 .

Sergeu [11.5K]

Answer:

Step-by-step explanation:

y ∞ x/m

y = kx/m

Where k is the constant of proportionality

A. k = ym/x

y=5 when x=7 and m=4

k = (5×4)/7

k = 20/7

y = 20x/7m

B)the value of when x=2and m=2

y = 20x/7m

y = (20×2)/(7×2)

y = 40/14

y = 20/7

y = 2 6/7

C. The value of m when y=2 and x=4

y = 20x/7m

7ym = 20x

m = 20x/7y

m = (20×4)/(7×2)

m = 80/14

m = 40/7

m = 5 5/7

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3 years ago

X+5y=-5 slope and y-intercept

poizon [28]

First, you'd need to transform the equation into y = mx + b

To do this, set up the original equation and solve for y.

x + 5 y = -5
Subtract x from both sides.
5y = -5 - x
Now, divide by 5 into both sides to leave y on one side.
y = -1 -x/5

With this new equation, just shift the numbers on the right of y to create a y = mx + b equation

y = -x/5 - 1

Therefore, you're y intercept is -1 and you're slope is -x/5.

Hope this helps!

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3 years ago

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By the way your question was asked, the unit rate would be one foot per inch, or a 1ft:1in ratio.

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If jummai is 12years old and Tunde is 8years old and they share 15bananas in the ratio of their ages how many will each have sho

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Jummai and Tunde will each have 9 and 6 bananas respectively.

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