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3 years ago

A trapezoid in a coordinate plane has vertices (-2,5), (-3,-2), (2,-2), and (1,5). What is the height of the trapezoid?

Mathematics

1 answer:

AysviL [449]3 years ago

6 0

check the picture below, you can pretty much count the units off the grid.

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A cone with volume 1350 m³ is dilated by a scale factor of 1/3.

ki77a [65]

Answer:

450

Step-by-step explanation:

You basically do 1350 * 1/3 or 1350/3

6 0

3 years ago

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The nature park has a pride of 7 adult lions and 4 cubs. The adults eat 6 pounds of meat each day and the cubs eat 3 pounds. Sim

Mademuasel [1]

Answer:

7 x 6 = 42, 42+ 4 x 3, 4 x 3 is 12, 42 + 12 = 54

Step-by-step explanation:

Hope I helped pls give brainliest

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2 years ago

Find all real eighth roots of 72.089. Round to the nearest thousandth

Svetradugi [14.3K]

I would say that 1.7070004089 is the only eighth root of 72.089.

72.089^(1/8) = 1.7070004089

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3 years ago

Find f'(x) and state the domain of f': f(x) = In (2x^2+1)

-Dominant- [34]

Answer:

$f'(x) = \frac{4x}{2x^2+1}$

Domain: All Real Numbers

General Formulas and Concepts:

Algebra I

Domain is the set of x-values that can be inputted into function f(x)

Calculus

The derivative of a constant is equal to 0

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Chain Rule: $\frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)$

Derivative: $\frac{d}{dx} [ln(u)] = \frac{u'}{u}$

Step-by-step explanation:

Step 1: Define

f(x) = ln(2x² + 1)

Step 2: Differentiate

Derivative ln(u) [Chain Rule/Basic Power]: $f'(x) = \frac{1}{2x^2+1} \cdot 2 \cdot 2x^{2-1}$
Simplify: $f'(x) = \frac{1}{2x^2+1} \cdot 4x$
Multiply: $f'(x) = \frac{4x}{2x^2+1}$

Step 3: Domain

We know that we would have issues in the denominator when we have a rational expression. However, we can see that the denominator would never equal 0.

Therefore, our domain would be all real numbers.

We can also graph the differential function to analyze the domain.

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2 years ago

Which of these points lies on the line described by the equation below?

Zinaida [17]

C.) (6,4)...................

4 0

3 years ago

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