Answer:
FG=30
Step-by-step explanation:
Since we know that Point G is on the Segment FH, it doesn't really matter where G is, but we can know for certain that:

We are given that FH is 4x, GH is x, and FG is 2x+10. Substitute:

Solve for x. On the right, combine like terms:

Subtract 3x from both sides:

So, the value of x is 10.
To find the value of FG, substitute 10 into its x:

Multiply:

Add:

And we're done!
Answer:
(0,4) is the y intercept for function A
(0,3) is the y intercept for function B
so function A has the greatest y intercept
Step-by-step explanation:
Answer:


Step-by-step explanation:
we know that
In an <u><em>Arithmetic Sequence</em></u> the difference between one term and the next is a constant, and this constant is called the common difference (d)
In this problem we have the ordered pairs
Let

Find the difference between one term and the next
The difference between one term and the next is a constant
This constant is the common difference
so
The sequence graphed is an Arithmetic Sequence
therefore
The first term is
The common difference is equal to
Answer:

Step-by-step explanation:
In probability, "AND" means "multiplication" and
"OR" means "addition".
We want the probability that she picks FAVORITE SHIRT "AND" FAVORITE PANT.
Probability that she picks favorite shirt = 3/5
Probability that she picks favorite pants = 2/4 = 1/2
Since, "AND", we "multiply" both to get:
3/5 * 1/2 = 3/10
Answer:(3x-7) (3x-7)
Step-by-step explanation:
9x2-42x+49
The two by the 9 is power of 2 so the small two above