Answer:
x²-25
Step-by-step explanation:
Hi there!
We are given (x+5)(x-5) and we want to find their product.
As these are binomials, we can multiply them using FOIL, which is First, Outer, Inner, Last
So let's start with the firsts, which would be (x+5)(x-5), or the 2 x's; x*x=x²
Next, let's do the outers, which would be (x+5)(x-5); x * -5 = -5x
Now the inners; (x+5)(x-5); 5 * x = 5x
Finally, the lasts; (x+5)(x-5); 5 * -5 = -25
Now add all of these terms together:
x²-5x+5x-25
We can combine the 5x and -5x together to become x²-25
So the answer is x²-25, which is a difference of squares expression (if we have (a-b)(a+b), then the result is a²-b²).
Hope this helps! :)
See more on the difference of squares here: brainly.com/question/16085851
Answer:
B is correct
Step-by-step explanation:
These are Absolute Value expressions. (How far from 0 on the number line) So disregard negative or positive signs. The only true statement would be 2<4.
Answer: The answer is 4% I hope it helps
Step-by-step explanation:
First picture:
You got the first two right (good job!), so I'll just tackle the third one. If you have to compute 
, it means that you have to substitute 
in place of 
. Differently from the first two points, this will generate a new function, rather than a specific value:
Second picture:
Given the point 
highlighted in the picture, you can deduce that the base is 
units long (since it spans from 
to 
) and the height is 
units long (because it spans from to ). So, the area of the rectangle is the multiplication between base and height:
But we know that 
, so we have
The domain of this function is given by the domain of the square root: we want its argument to be non, negative, so we have
But since the problem is symmetric, the answer is
You can only see the answer 
because, if you choose 
or 
, the rectangle degenerates to a segment, and your exercise doesn't like this scenario, apparently
Answer:
14.3 feet.
14.3 feet
Step-by-step explanation:
The problem forms a right triangle in which:
The Vertical Leg of the Right Triangle = 3 feet
The Horizontal Leg of the Right Triangle =14 feet
We are to determine the length of the broken part of the tree. This is the Hypotenuse of the Right Triangle,
Using Pythagoras Theorem
