2 years ago

Determine Which equation is parallel to line BC and which is perpendicular to line BC

Mathematics

1 answer:

zhuklara [117]2 years ago

3 0

Answer:

Step-by-step explanation:

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The net below depicts a triangular prism. What is the total surface area of the prism?

svetlana [45]

Answer:

112in

Step-by-step explanation:

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3 years ago

The average value of a function f over the interval [−2,3] is −6 , and the average value of f over the interval [3,5] is 20. Wha

Xelga [282]

Answer:

The average value of $f$ over the interval $[-2,5]$ is $\frac{10}{7}$ .

Step-by-step explanation:

Let suppose that function $f$ is continuous and integrable in the given intervals, by integral definition of average we have that:

$\frac{1}{3-(-2)} \int\limits^{3}_{-2} {f(x)} \, dx = -6$ (1)

$\frac{1}{5-3} \int\limits^{5}_{3} {f(x)} \, dx = 20$ (2)

By Fundamental Theorems of Calculus we expand both expressions:

$\frac{F(3)-F(-2)}{3-(-2)} = -6$

$F(3) - F(-2) = -30$ (1b)

$\frac{F(5)-F(3)}{5-3} = 20$

$F(5) - F(3) = 40$ (2b)

We obtain the average value of $f$ over the interval $[-2, 5]$ by algebraic handling:

$F(5) - F(3) +[F(3)-F(-2)] = 40 + (-30)$

$F(5) - F(-2) = 10$

$\frac{F(5)-F(-2)}{5-(-2)} = \frac{10}{5-(-2)}$

$\bar f = \frac{10}{7}$

The average value of $f$ over the interval $[-2,5]$ is $\frac{10}{7}$ .

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3 years ago

Find the diameter of the circle with the given circumference. Use 3.14 for π(PI). C=22 cm

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The answer is 7.006

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3 years ago

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lakkis [162]

Answer:

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Step-by-step explanation:

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Factor 1/4 out of 1/4x -13/4

sweet-ann [11.9K]

$\bf \frac{1}{4}(x-13)\qquad 
\begin{cases}
\frac{1}{4}\cdot x\implies &\frac{1}{4}x\\\\
\frac{1}{4}\cdot 13\implies &\frac{13}{4}
\end{cases}$

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3 years ago