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skad [1K]
4 years ago
13

A trapezoid has an area of 4 square units and a height of 1 unit what are the possible whole number lengths for the bases

Mathematics
1 answer:
kap26 [50]4 years ago
5 0
A = (a + b)/2 * h
4 = (a + b)/2

(a + b) = 8

(1+7), (2+6), (3+5), (4+4)

Therefore there are 4 possibilities.
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23. Cynthia used some of the ordered pairs from the set below to make a new set.
tangare [24]

Answer:

(5,4), (2, -7), (4, -3)

Step-by-step explanation:

The first option is (-2,5), (7,2), (5, 4).

The domain for this pair of ordered pairs is {-2,5,7}

The second set is (5,4), (2, -7), (4, -3)

The domain is {2,4,5}

The third set is (2, -7), (4, -3), (-2,5), (5, 4)

The domain is {-2,2,4,5}

The fourth set is  (4,-3), (-2,5), (5,4), (7,2)

The domain is {-2,4,5,7}

Therefore the correct choice is the second option

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Step-by-step explanation:

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Read 2 more answers
Differentiating a Logarithmic Function in Exercise, find the derivative of the function. See Examples 1, 2, 3, and 4.
wlad13 [49]

Answer:

\frac{dy}{dx}=\frac{x(1-2lnx)}{x^{4}}

Step-by-step explanation:

To solve the question we refresh our knowledge of the quotient rule.

For a function f(x) express as a ratio of another functions u(x) and v(x) i.e

f(x)=\frac{u(x)}{v(x)}\\, the derivative is express as

\frac{df(x)}{dx}=\frac{v(x)\frac{du(x)}{dx}-u(x)\frac{dv(x)}{dx}}{v(x)^{2} }

from y=lnx/x^{2}

we assign u(x)=lnx and v(x)=x^2

and the derivatives

\frac{du(x)}{dx}=\frac{1}{x}\\\frac{dv(x)}{dx}=2x\\.

Note the expression used in determining the derivative of the logarithm function.it was obtain from the general expression of logarithm derivative i.e y=lnx\\\frac{dy}{dx}=\frac{1}{x}

If we substitute values into the quotient expression we arrive at

\frac{dy}{dx}=\frac{(x^{2}*\frac{1}{x})-(2x*lnx)}{x^{4}}\\\frac{dy}{dx}=\frac{x-2xlnx}{x^{4}}\\\frac{dy}{dx}=\frac{x(1-2lnx)}{x^{4}}

8 0
3 years ago
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