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Helen [10]
3 years ago
11

A triangle has sides with lengths of 3 feet, 6 feet, and 8 feet is it a right triangle?

Mathematics
1 answer:
Zielflug [23.3K]3 years ago
8 0

Answer:

Solution,\\Longest~side(h) = 8ft.\\Perpendicular(p) = 3ft.\\Base(b) = 6ft.\\Now, \\h^2 = (8)^2 = 64sq.ft.\\p^2+b^2 = 3^2+6^2 = 9+36 = 45sq.ft.\\Since, h^2\neq p^2+b^2, ~the~triangle~is~not~a~right~triangle.

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Find the slope of the line going through the points (-4, 3) and (-1,-6)
Fed [463]

Answer:

-3

Step-by-step explanation:

m=y2-y1/x2-x1

m=-6-3/-1-(-4)

m=-9/3

m=-3

8 0
3 years ago
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A region with a 10-mile radius has a population density of about 1500 people per square mile. Find the number of people who live
riadik2000 [5.3K]

The total population in the region is 942000

<u>Step-by-step explanation:</u>

Radius of the region= 10 miles

Population density= 1500 per square mile

Area of the region = 2π(r x r)

= 2π(10 x 10)

=2(3.14) (100)

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6 0
3 years ago
F(x) = ( - 3x² + 2 – 2)e". Find f'(x) and f''(x).<br> f'(2) =<br> f''(c)<br> =
prisoha [69]

Answer:

-3x²-5xeˣ-eˣ

-3eˣx²-11eˣx-6eˣ

Step-by-step explanation:

I'm going to go by the picture and not what you wrote in your title.

To find the derivative of this we have to apply the product rule

(a*b)'=

a'*b+a*b'

We plug in our numbers and get

(-3x²+x-2)'*eˣ+(-3x²+x-2)*eˣ'

Now we can evaluate the derivatives and simplify

(-3x²+x-2)'= -6x+1

eˣ'=eˣ

which means we have

(-6x+1)*eˣ+(-3x²+x-2)*eˣ

Simplify

-6xeˣ+eˣ-3x²eˣ+xeˣ-2eˣ

Combine like terms

-3x²eˣ-5xeˣ-eˣ

Now we just need to find the derivative of this

We can apply the same product rule as we did before

(-3x²eˣ)'

Let's start by factoring out the -3 to get

-3(x²eˣ)'

which is equal to

-3(x²eˣ'+x²'eˣ)

Compute this and get

-3(x²eˣ+2xeˣ)= -3x²eˣ-6xeˣ

Now let's find the derivative of the second part

(-5xeˣ)'

-5(x'eˣ+xeˣ')

-5(eˣ+xeˣ)

-5eˣ-5xeˣ

Which means we have

(-3x²eˣ-6xeˣ)+(-5eˣ-5xeˣ)-eˣ

Combine like terms and get

-3eˣx²-11eˣx-6eˣ

3 0
3 years ago
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4x^2 is the greatest commonly factor for these exponents.

Hope this helps you! :)

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3 years ago
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