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uranmaximum [27]
1 year ago
5

Find the value of W that makes quadrilateral PQRS a parallelogram.

Mathematics
1 answer:
mestny [16]1 year ago
6 0

to be a parallelogram its front sides must be equal to each other

so, we equalize the length of two sides that are face to face

\begin{gathered} 5w-25=w+15 \\  \\  \end{gathered}

and solve for w

\begin{gathered} 5w-w=15+25 \\ 4w=40 \\ w=\frac{40}{4} \\  \\ w=10 \end{gathered}

the value of w must be 10

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SOLVE AND EXPLAIN! b + m = 400?
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Answer:

b=200 and m=200

Step-by-step explanation:

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3 years ago
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3 years ago
Find the critical numbers of the function f(x) = x6(x − 1)5 what does the first derivative test tell you that the second derivat
patriot [66]
The given function is f(x) = x⁶(x-1)⁵

The first derivative is
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x = 0, 6/11, and 1.
The critical values indicate that turning points exist for f(x) at the critical points. However, we do not know the nature of the turning points.

Write the first derivative in the form f'(x) = (x-1)⁴(11x⁶ - 6x⁵).
The second derivative is
f''(x) = 4(x-1)³(11x⁶ - 6x⁵) + (x-1)⁴(66x⁵ - 30x⁴)
        = (x-1)³(44x⁶ - 24x⁵ + 66x⁶ - 30x⁵ - 66x⁵ + 30x⁴)
        = (x-1)³(110x⁶ - 120x⁵ + 30x⁴)
        = 10x⁴(x-1)³(11x² - 12x + 3)
The sign of f''(x) at the critical values tell us the nature of the turning point.

f''(0) = 0, therefore a point of inflection exists at x = 0.
f''(6/11) > 0, therefore a local minumum exists at x = 6/11.
f''(1) = 0, therefore a point of inflection exists at x=1.

The graphs shown below confirm these results.

8 0
3 years ago
-3b + 7 = -15 + 2b <br>how to solve this question?<br>​
dsp73

Answer:

Step-by-step explanation:

-3b - 2b + 7 = -15

-5b  = -22

b = 22/5

5 0
3 years ago
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