Answer:
Step-by-step explanation:
<h3>First let's write our equation</h3><h3 /><h3>
</h3><h3 /><h3>Reduce</h3>
<em>Definition - </em><em>reduction refers to the rewriting of an expression into a simpler form</em>
<h3 />
We can reduce 
to 
Our equation is now 
Now we can cross multiply
<em>Definition - </em><em>given an equation between two fractions or rational expressions, one can cross-multiply to simplify the equation or determine the value of a variable.</em>
<h3>Add</h3>
We are adding because we want our variable to be on one side of the equation
<h3>To check we can show our equation but instead of d we have 18</h3><h3 />
Subtract and we get
Which makes it true
<h3><em>Have a good day!</em></h3>
C
Explanation:
That’s where the vertex of the slope will be
(a).
The product of two binomials is sometimes called FOIL.
It stands for ...
the product of the First terms (3j x 3j)
plus
the product of the Outside terms (3j x 5)
plus
the product of the Inside terms (-5 x 3j)
plus
the product of the Last terms (-5 x 5)
FOIL works for multiplying ANY two binomials (quantities with 2 terms).
Here's another tool that you can use for this particular problem (a).
It'll also be helpful when you get to part-c .
Notice that the terms are the same in both quantities ... 3j and 5 .
The only difference is they're added in the first one, and subtracted
in the other one.
Whenever you have
(the sum of two things) x (the difference of the same things)
the product is going to be
(the first thing)² minus (the second thing)² .
So in (a), that'll be (3j)² - (5)² = 9j² - 25 .
You could find the product with FOIL, or with this easier tool.
______________________________
(b).
This is the square of a binomial ... multiplying it by itself. So it's
another product of 2 binomials, that both happen to be the same:
(4h + 5) x (4h + 5) .
You can do the product with FOIL, or use another little tool:
The square of a binomial (4h + 5)² is ...
the square of the first term (4h)²
plus
the square of the last term (5)²
plus
double the product of the terms 2 · (4h · 5)
________________________________
(c).
Use the tool I gave you in part-a . . . twice .
The product of the first 2 binomials is (g² - 4) .
The product of the last 2 binomials is also (g² - 4) .
Now you can multiply these with FOIL,
or use the squaring tool I gave you in part-b .
Answer:
44 units length
Step-by-step explanation:
The side splitter theorem states that if a line is parallel to a side of a triangle and the line intersects the other two sides, then this line divides those two sides proportionally. Therefore:
20/10 = x/22
20/10*22 = x
44 = x
Yes because all equilateral triangles have equal angles and side lengths so they are all similar. hope i helped -J
