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3 years ago

An airplane at T(80,20)needs to fly to both U(20,60) and V(110,85). what is the shortest possible distance for the trip?

Mathematics

1 answer:

olga2289 [7]3 years ago

4 0

The answer is 165 units.

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Ap calc multiple choice question; attached below please explain how, please!

anygoal [31]

Answer:

C. $\frac{f(b)-f(1)}{b-1}=20$

General Formulas and Concepts:

Calculus

Mean Value Theorem (MVT) - If f is continuous on interval [a, b], then there is a c∈[a, b] such that $f'(c)=\frac{f(b)-f(a)}{b-a}$

MVT is also Average Value

Step-by-step explanation:

Step 1: Define

$f(x)=e^{2x}$

f'(c) = 20

Interval [1, b]

Step 2: Check/Identify

Function [1, b] is continuous.

Derivative [1, b] is continuous.

∴ There exists a c∈[1, b] such that $f'(c)=\frac{f(b)-f(a)}{b-a}$

Step 3: Mean Value Theorem

Substitute: $20=\frac{ f(b)-f(1)}{b-1}$
Rewrite: $\frac{ f(b)-f(1)}{b-1}=20$

And we have our final answer!

5 0

2 years ago

bella types at a constant rate of 42 per minute. is the number of words she can type proportional to the number of minutes she t

Ksivusya [100]

Yes I think so because she write 42 per minute the question doesn't tell you anything else.
I am not sure :(

8 0

3 years ago

Multiply radicals please

leva [86]

Answer:

Step-by-step explanation:

$~~~\left( \dfrac 1 3 \sqrt x - \dfrac 32 \sqrt y \right)^2\\\\\\=\left( \dfrac 13 \sqrt x \right)^2 + \left( \dfrac 32 \sqrt y \right)^2 - 2 \left(\dfrac 13 \sqrt x \right)\left( \dfrac 32 \sqrt y \right)\\\\\\=\dfrac 19 x+ \dfrac 94 y-\sqrt{xy}\\\\\\=\dfrac 19x - \sqrt{xy} + \dfrac 94 y$

8 0

2 years ago

100 points! Which statements are correct interpretations of this graph?

prohojiy [21]

Answer: 3 boxes every 4 minutes, and 0.75 boxed every minute. And 0.75 boxes are filled per minute.

Step-by-step explanation: Hope This Helps!

5 0

1 year ago

Line R when plotted passes through the points (1,-3) and (5,9). When Line S crosses line R it forms right angles which of the fo

LuckyWell [14K]

It’s -1/3 because you subtract 1-5 and -3-9, you get -4/-12 then simplify to get -1/3.

8 0

3 years ago