8a+4s=840
a=s+30
8(s+30)+4s=840
12s+240=840
12s=600
s=50
A=s+30
a=50+30
a=80
The drama play sold 80 adult tickets
Answer:
you will be able to create and representations the vertex - edge graphs.
X - quarters, x+5 - dimes.
$74=7400 cents
Then
(25x+10(x+5))=(25x+10x+50)=(35x+50) cents.
35x+50=7400
35x=7400-50
35x=7350
x=7350/35
x=210 quarters
x+5=210+5=215 dimes
210 quarters and 215 dimes
Answer:
<em>The correct answer is the first option</em>
Step-by-step explanation:
<u>Quadratic Equation</u>
The standard form of a quadratic equation is

Sometimes we need to change the expression of the same equation to the form

To accomplish that change, we usually modify the left-hand expression to make it look like the square of a binomial.
The given quadratic equation is

Recall the square of a binomial is

The first term is already present. The second term gives us the value of p:

Solving

Now we need to produce the third term
. We only have 41, thus we need to add 8 to both sides of the equation:

The correct answer is the first option
The length can be found using the Pythagorean Theorem...
c^2=a^2+b^2 and in this case:
d^2=(dx^2)+(dy^2)
d^2=(3-7)^2+(12-9)^2
d^2=-4^2+3^2
d^2=16+9
d^2=25
d=5
So the length of AB=5 units.