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3 years ago

A triangle has side measures of 8, 13, 15. Are these the measures of a RIGHT Triangle?

Mathematics

1 answer:

Andreas93 [3]3 years ago

6 0

Answer:

No.

Step-by-step explanation:

Since we know the side lengths of the triangle, we can figure out whether or not this is a Pythagorean triple.

Pythagorean theorem: a^2 + b^2 = c^2

a and b are both smaller than c.

So,

8^2 = 64.

13^2 = 169.

15^2 = 225.

64 + 169 = 233.

233 is not equal to 225.

Therefore, this is not a right triangle.

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Find all values of m so that the function y = xm is a solution of the given differential equation. (Enter your answers as a comm

blagie [28]

Answer:

m = 6,9

Step-by-step explanation:

We are given that $y = x^m$ is a solution to given differential equation.

$x^2y'' - 14xy' + 54y = 0$

First we 3evaluate the value of:

$y'' = m(m-1)x^{(m-2)}$

$y' = mx^{(m-1)}$

Putting these value in the above differential equation, we get,

$x^2m(m-1)x^{(m-2)} + 14xmx^{(m-1)} + 54x^m = 0$

$x^m[m(m-1) -14m + 54] = 0$

$x^m(m^2 - 15m + 54) = 0$

$(m^2 - 15m + 54) = 0$

$(m-9)(m-6) = 0$

$m = 9,6$

Thus, for m = 9,6 , the function $y = x^m$ is a solution of given differential equation.

8 0

3 years ago

How many inches did the height of the plant increase between weeks 3 and 4?

Iteru [2.4K]

The plant increased a total of 4 inches.

Week 3, the plant was 8in and week 4, the plant was 12in.

To find our solution, subtract 8 from 12

12-8=4

8 0

3 years ago

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Four less than a number is 385

zvonat [6]

Answer:

n-4=385. The answer is 389

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3 years ago

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Write 2.04 × 10 ⁴ as an ordinary number

ivann1987 [24]

Answer:

20400

Step-by-step explanation:

its 2.03x10x10x10x10 so first ten: 20.4 and ten: 204 3rd ten: 2040 last ten :20400

8 0

3 years ago

Given: ΔАВС, m∠ACB = 90°<br> CD ⊥ AB,<br> m∠ACD = 60°<br> BC = 6 cm.<br> Find: АD

umka21 [38]

Since bc = 6, that makes db = 3 and cd = 3rad3
cd (2) = ac. so ac = 6rad3
so to get ad, you square ac which = 108, square cd which = 3rad3 which equals 27. 108 - 27 = 81. the sqaure root of 81 is 9. ad = 9

6 0

3 years ago

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