Ok so differnce of 2 perfect ssquares are
x^2-y^2=(x-y)(x+y)
we are given
one factor is 5x-8
remember that all you do is square both terms individually to get them
(5x)^2=25x^2
8^2=64
they are difference so
25x^2-64 is answer
The length of eastern continental trail is 5400 miles and length of erie canal trail is 360 miles.
Step-by-step explanation:
Given,
Combined length of both trails = 5760 miles
Let,
x be the length of eatern continental trail.
y be the length of Erie canal trail.
According to given statement;
x+y=5760 Eqn 1
x = 15y Eqn 2
Putting value of x from Eqn 2 in Eqn 1

Dividing both sides by 16

Putting y=360 in Eqn 2

The length of eastern continental trail is 5400 miles and length of erie canal trail is 360 miles.
Keywords: linear equation, substitution method
Learn more about substitution method at:
#LearnwithBrainly
Answer:
<em>4 cups of 75% fruit juice and 4 cups of 25% fruit juice should be mixed.</em>
Step-by-step explanation:
Suppose, the amount of 75% fruit juice is
cups.
As the total amount of fruit punch is 8 cups, so the amount of 25% juice will be:
cups.
Given that, the percentage of juice in 8 cups fruit punch is 50%
So, the equation will be.........

Thus, the amount of 75% fruit juice is 4 cups
and the amount of 25% fruit juice is (8-4)= 4 cups.
Answer:
& 
Step-by-step explanation:
You need to find x first in order to find the measure of angle C. To solve for x, we will use the fact that interior angles of a triangle have angle measurements that add up to 180 degrees.
Using this knowledge, we can create an equation where angles A, B, and C add up to equal 180.
Combine like terms on the left side of the equation.
Subtract 6 from both sides of the equation.
Divide both sides of the equation by 3.
Now that you've found the value of x, you can use this value to plug into the expression for angle C.
Therefore, the final answer is:

The answer is 452.16 cm³.
Formula to calculate the volume of cone = V = πr²x h/3
Now r = 6 cm and h = 12cm, and value of π = 3.14
By putting the values,
V = (3.14) (6)² (12/3) = (3.14)(36)(4)
V = 452.16 cm³