How is a slant asymptote present in the equation f(x)= x/(x-1)
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A right triangle is a special triangle that has a right angle. In this case, we have to write a system of inequalities that defines a shaded region that looks like a right triangle. First of all, let's say that at the origin the triangle will have a right angle. To do so, we'd need to set:
So the shaded region in this first part will be the First Quadrant as indicated in the first figure below. So if the opposite side lies on the x-axis the adjacent side will lie on the y-axis or if the adjacent side lies on the x-axis the opposite side will lie on the y-axis. Everything is ok up to this point. We just need to define the hypotenuse, so we'd need to define a line. In order to have a right triangle, we need a line with negative slope and positive y-intercept shaded under the line. So, this inequality could be:
Finally, the system of inequalities would be:
And the final shaded region is the one shown in the second figure.
<h2>Learn more:</h2>Inequalities: brainly.com/question/2486051
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Answer:
0 & 0
Step-by-step explanation:
In order to find the answer to these two questions you need to use the slope formula, substitute, subtract, and simplify if needed.
Slope formula =
Substitute:
Hope this helps.
Answer:
Step-by-step explanation:
RHS = (1 +Sec Ф)(1 - Cos Ф)
= 1*1 - 1*Cos Ф + Sec Ф *1 - Sec Ф *Cos Ф
= 1 - Cos Ф + Sec Ф - 1 {Sec Ф = )
=Sec Ф - Cos Ф
= - Cos Ф
= Sin Ф* tan Ф = LHS
On top: (-2)³ = -2 × -2 × -2 = -8
(x²)³ = x^6 (the exponents multiply)
and of course, (y)³ = y³
On the bottom: (xy²z)² = x² y^4 z²
(-yz)² = y²z²
Multiplying these together, the exponents add and we get x² y^6 z^4.
So, your reasoning is correct for what you have so far.
Your next step would be cancelling shared factors from the top and bottom.
Just like with regular fractions, if the numerator and denominator are divisible by the same number, you can divide them by it to simplify. (ex: 4/6 = 2/3)
Well, x^6 and x^2 are both divisible by x^2, right?
We can also cancel the y^3.
It might help to visualise the factors like this:
Once you've cancelled out x² and y³ from each, you're left with