The answer u r looking for is m=-1
Answer:
Step-by-step explanation:
This is a related rates problem from calculus using implicit differentiation. The main equation is going to be Pythagorean's Theorem and then the derivative of that. Pythagorean's Theorem is
where c is the hypotenuse and is a constant. Therefore, the derivative of this with respect to time, and using implicit differentiation is
and dividing everything by 2 to simplify a bit:
. Upon analyzing that equation, it looks like we need values for x, y,
, and
. And here's what we were given:
and
In the greater realm of things, that's nothing at all.
BUT we can use the right triangle and the angle we were given to find both x and y. The problem we are looking to solve is to
Find
at the instant that
= .5.
Solving for x and y:
and
6tan45 = x ( and since this is a 45-45-90 triangle, y = x):
so
and now we can fill in our derivative. Remember the derivative was found to be
so
and
and
and multiplying by the reciprocal of the left gives us:
so

<h2>
Answer:</h2>
<em>The number is </em><u><em>irrational</em></u><em>.</em>
<h2>
Step-by-step explanation:</h2>
<h3>1. Convert to decimal.</h3>

<h3>2. Conclude.</h3>
<em>Since this number shows to have infinite decimal figures, it cannot be represented as the ratio of 2 integers. Hence, the number is </em><u><em>irrational</em></u><em>.</em>
<u><em>-------------------------------------------------------------------------------------------------------</em></u>
<em>Note.</em><em> In case the number expressed in the question was </em>
, the answer would still be <u><em>irrational</em></u><em>, for the same reasons explained above</em>.
<u><em>-------------------------------------------------------------------------------------------------------</em></u>
<em>Learn more about the classification of numbers here:</em>
<em>brainly.com/question/28292851</em>
<em>brainly.com/question/28292525</em>
<em>brainly.com/question/28281557</em>
<em>brainly.com/question/28262827</em>
The relationship here between the x and y values can be seen in an equation, y=x+3, since every y value is three more than its corresponding x-value. <span />
Well if it is divisible by 2 and 3, we can find another number that has 2 and 3 as factors and the number should also be divisible by that number...
2×3 = 6
So the number should also be divisible by 6.