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Aleonysh [2.5K]
3 years ago
15

Is the square root of 25 rational? yes or no and please explain why.

Mathematics
1 answer:
N76 [4]3 years ago
5 0

Answer: Rational "yes"

Step-by-step explanation: The square root of 25 is indeed a rational number. Rational numbers are numbers. The square root of 25 is a perfect square which means that it has a number that can be multiplied by itself which gives us 25.

In this case, the number is 5 so yes, it's rational.

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Find an equation of the tangent line to the curve 2(x2+y2)2=25(x2−y2) (a lemniscate) at the point (−3,1). An equation of the tan
valina [46]

2(x^2+y^2)^2=25(x^2-y^2)

Let y=y(x), so that differentiating both sides wrt x gives

4(x^2+y^2)\left(2x+2y\dfrac{\mathrm dy}{\mathrm dx}\right)=25\left(2x-2y\dfrac{\mathrm dy}{\mathrm dx}\right)

If x=-3 and y=1, the above reduces to

40\left(-6+2\dfrac{\mathrm dy}{\mathrm dx}\right)=25\left(-6-2\dfrac{\mathrm dy}{\mathrm dx}\right)\implies\dfrac{\mathrm dy}{\mathrm dx}=\dfrac9{13}

This is the slope of the tangent line, which has equation

y-1=\dfrac9{13}(x+3)\implies\boxed{y=\dfrac{9x+40}{13}}

7 0
3 years ago
Help me solve this problem and explain how you got the answer plz
Vitek1552 [10]
I hope this helps you

6 0
3 years ago
X/-4 + 14&gt;20<br><br> someone help a girl out
MrRa [10]

Answer:

x < -20

Step-by-step explanation:

x / -4  + 14 >20

Subtract 14 from each side

x / -4 +14-14 > 20 -14

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Multiply each side by -4, remembering to flip the inequality

x / -4 * -4 < 6 * -4

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7 0
3 years ago
Read 2 more answers
Q12.
SVEN [57.7K]

Answer:

Step-by-step explanation:

1l ........8.5 miles

x l .......6 miles

-----------------------

x=6*1/8.5

x=0.70 l

2*0.7=1.4 l petrol/day ( to work and come back home)

5*1.4=7 l/week ( 5 days works in a week)

7*1.26=8.82 L /week

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3 years ago
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3 years ago
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