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3241004551 [841]
3 years ago
8

Which are the solutions of x^2=-11x+4

Mathematics
1 answer:
jeyben [28]3 years ago
5 0
<span>Simplifying X2 + -4 = 0 Reorder the terms: -4 + X2 = 0 Solving -4 + X2 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + X2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + X2 = 0 + 4 X2 = 0 + 4 Combine like terms: 0 + 4 = 4 X2 = 4 Simplifying X2 = 4 Take the square root of each side: X = {-2, 2}</span>
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A man can drive a motorboat 70 miles down the Colorado River in the same amount of time that he can drive 40 miles upstream. Fin
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The speed of the current is 40.34 mph approximately.

<u>SOLUTION: </u>

Given, a man can drive a motorboat 70 miles down the Colorado River in the same amount of time that he can drive 40 miles upstream.  

We have to find the speed of the current if the speed of the boat is 11 mph in still water. Now, let the speed of river be a mph.  Then, speed of boat in upstream will be a-11 mph and speed in downstream will be a+11 mph.

And, we know that, \text{ distance } =\text{ speed }\times \text{ time }

\begin{array}{l}{\text { So, for upstream } \rightarrow 40=(a-11) \times \text { time taken } \rightarrow \text { time taken }=\frac{40}{a-11}} \\\\ {\text { And for downstream } \rightarrow 70=(a+11) \times \text { time taken } \rightarrow \text { time taken }=\frac{70}{a+11}}\end{array}

We are given that, time taken for both are same. So \frac{40}{a-11}=\frac{70}{a+11}

\begin{array}{l}{\rightarrow 40(a+11)=70(a-11)} \\\\ {\rightarrow 40 a+440=70 a-770} \\\\ {\rightarrow 70 a-40 a=770+440} \\\\ {\rightarrow 30 a=1210} \\\\ {\rightarrow a=40.33}\end{array}

8 0
3 years ago
You are one of 55 people whose name will be drawn for a prize. What is the probability that your name will be drawn first?
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Step-by-step explanation:

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The statement that is correct about the given table is,

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hence, the correct statements are A, B, and D.

Learn more about Graph:

brainly.com/question/21608293

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