Answer:g(X)=2x^2-10
Step-by-step explanation:
If a function f(x) is translated 'c' units down then the equation of the translated function be f(x)-c
Here, f(x) is translated 2 units down to obtain g(x).
Hence, we have
g(x)=f(x)-2
=2x^2-8-2
=2x^2-10
(if 2 is a square)
6xy ( x2 - xy + y2)
= 6x3y - 6x2y2 - 6xy3 --------------the threes and twos on this line are squares and cubics. the six is just a whole number
Hey!
You're right! This equation can definitely be solved by performing two operations on both sides. Let me show you how it's done.
First, let's write out our equation.
<span><em>Original Equation :</em>
</span>x + 53 = 15
Now that that's done, we'll be performing two operations on both sides. The operation we'll want to do is subtracting both sides of the equation by 53. We do this to get x on its own.
<em>Original Equation :</em>
x + 53 = 15
<em>New Equation {Added Subtract 53 to Both Sides} :</em>
x + 53 - 53 = 15 - 53
Now we have to solve the equation. Let's do the left side first.
<em>Left Side of the Equation :</em>
x + 53 - 53
<em>Left Side of the Equation {Solved} :</em>
x
Now, we'll solve the right side of the equation.
<em>Right Side of the Equation :</em>
15 - 53
<em>Right Side of the Equation {Solved} :</em>
-38
Now we can put both solutions to both sides of the equation together.
<em>New Equation :</em>
x = -38
Since this cannot be simplified any farther, this is our final answer. And that's it!
<em>So, now we know that in the equation x + 53 = 15,</em> x = -38
Hope this helps!
- Lindsey Frazier ♥
Use the difference of squares factorization - that for any numbers a and b, (a-b)(a+b)=a^2-b^2.
We have:
(x^2+1)(x^2-1)=x^4-1
In addition:
(x-1)(x+1)=x^2-1, so we have:
(x^2+1)(x+1)(x-1)
As our complete factorization.
Answer:
Step-by-step explanation:
We can find the side of the hypotenuse by applying pythagorean theorem.
Now we can apply pythagorean theorem on the other triangle
