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qaws [65]
3 years ago
7

The height of a triangle is 6 m more than its base. The area of the triangle is 56 m². What is the length of the base?

Mathematics
1 answer:
mr Goodwill [35]3 years ago
4 0

Answer:

8

Step-by-step explanation:

x(x+6)/2=56

x^2(6x)=112

x^2(6x)-112=0

By trial and error, we can try base =1, height = 7, etc

base =8

height = 14

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Area of a rectangle is length * width

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Step-by-step explanation:

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3 years ago
The weight of a box varies directly as the volume of the box. If a 138-pound box has a volume of 23 gallons, what is the weight
kolezko [41]

Answer:

D. 150 pounds

Step-by-step explanation:

For be directly proportional, it has to be that as one value increases the other does it equally, so

If  138 pound box has a volume of 23 gallons for 25 gallons ?. For being directly proportional tha value must be higest

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5 0
3 years ago
Consider the function below. f(x) = ln(x4 + 27) (a) Find the interval of increase. (Enter your answer using interval notation.)
andrezito [222]

Answer:

a) The function is constantly increasing and is never decreasing

b) There is no local maximum or local minimum.

Step-by-step explanation:

To find the intervals of increasing and decreasing, we can start by finding the answers to part b, which is to find the local maximums and minimums. We do this by taking the derivatives of the equation.

f(x) = ln(x^4 + 27)

f'(x) = 1/(x^2 + 27)

Now we take the derivative and solve for zero to find the local max and mins.

f'(x) = 1/(x^2 + 27)

0 = 1/(x^2 + 27)

Since this function can never be equal to one, we know that there are no local maximums or minimums. This also lets us know that this function will constantly be increasing.

6 0
3 years ago
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Answer:3.42

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