A triangle has side lengths of 12 millimeters, 17 millimeters, and 13 millimeters. Is this triangle equilateral?

1 answer:

7 0

No, this triangle is not equilateral. This triangle is scalene. All three sides are of different lengths, which is why it's scalene. In order to have an equilateral triangle, all three sides need to be the same length.

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How would you find the x-intercept of f(x)=(x-4)^2-3?

Svetlanka [38]

The x -intercepts occur when f(x) =0
So,
(x-4)^2 = x^2 -8x + 16 -3 =0
x^2 -8x + 13 =0
Solving by the quadratic formula
x1 = 5.7321
x2 = 2.2679

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3 years ago

A cooler is filled with different juices. There are 24 bottles of juice: 6 orange juice, 4 apple juice, 2 cranberry juice, and 1

enot [183]

There would be 22 juices left in total, 5 oranges juice and 3 apple juice will be left, don't really get it tho. But hope it helps

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3 years ago

Differentiating a Logarithmic Function in Exercise, find the derivative of the function. See Examples 1, 2, 3, and 4.

ludmilkaskok [199]

Answer:

$\dfrac{dy}{dx}=- \dfrac{1}{\left(x - 1\right) \left(x + 1\right)}$

Step-by-step explanation:

Given:

$y = \ln{\left(\dfrac{x + 1}{x - 1}\right)^{\frac{1}{2}}$

using the properties of log we can take the power 1/2 and multiply it.

$y = \dfrac{1}{2}\ln{\left(\dfrac{x + 1}{x - 1}\right)$

now we can differentiate:

$\dfrac{dy}{dx} = \dfrac{1}{2}\dfrac{1}{\left(\dfrac{x + 1}{x - 1}\right)}\left(\dfrac{d}{dx}\left(\dfrac{x+1}{x-1}\right)\right)$

$\dfrac{dy}{dx} = \dfrac{1}{2}\left(\dfrac{x - 1}{x + 1}\right)\left(- \dfrac{2}{\left(x - 1\right)^{2}}\right)$

$\dfrac{dy}{dx}=- \dfrac{1}{\left(x - 1\right) \left(x + 1\right)}$

this is our answer!

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3 years ago

Divide 36 books into two groups so the ratio is 5 to 7. (Use the double number line strategy)

lutik1710 [3]

A ratio of 5:7 means out of 12 books, 5 are in one category and 7 are in another. (The “category” isn’t specified in this problem.)

So here we’re STARTING with 36 books; we want to find a ratio that is equal to 5:7 and adds up to 36. Well 36 = 3(12), and so if we multiply each number in the ratio by 3 as well, we might get what we want. Doing that gives us 15:21, which adds up to 36 and is equal to 5:7. Boom, that’s the answer.

P.S. Here’s a question you can think about: why do ratios stay the same when you multiply each number by the same amount? (For example, why is 3:1 the same as 6:2?)

7 0

2 years ago

a ships triangular signal flag has a base of 8 inches and an area of 64 square inches.what is the height of the signal flag?

wel

Area of a triangle is 1/2b×h
a=1/2b×h
64=1/2 8×h
64= 4 × h
64÷4=16

Answer: the height is 16 inches

4 0

3 years ago