(x, y) is the ordered pair or the point of the line. The given problem is an example of a linear graph and its ordered pair represents (amount, number of gallons).
(3.75, 1) is one of the ordered pairs of the graph since $3.75 is the amount that you paid in 1 gallon of gas.
Moreover, $12 is the amount that Berto paid for the gas, we will divide it to $3.75 per gallon in order to get the number of gallon that is put in his car.
Solution: $12 / $ 3.75 per gallon= 3.2 gallons.
Therefore, another ordered pair on the graph of the line relating number of gallons of gas is (12, 3.2) since $12 is the amount that you paid for 3.2 gallons of gas.
Answer:
Step-by-step explanation:
Since the chord is a tangent to the smaller circle, it will meet the radius of the smaller circle at right angle.
Let 
be the length of half of the chord. See diagram in attachment.
Then from Pythagoras Theorem,
We take the positive square root of both sides to obtain,
The length of the chord is
The correct answer is A
If the equation is given in factored form and the roots are real, then you can identify the x-coordinate of the vertex by averaging the 2 root values. For example, if the roots are -2 and 5, the x-coord. of the vertex is (-2+5)/2, or 3/2.
Once you have this x value, subst. the value into the given equation to calculate y. Then write the vertex as (x,y).
Answer:
The solution of the system is
x=8, y=11
Step-by-step explanation:
we have
----> equation A
----> equation B
Solve the system by graphing
Remember that the solution of the system of equations is the intersection point both graphs
using a graphing tool
The intersection point is (8,11)
see the attached figure
therefore
The solution of the system is
x=8, y=11
Answer:
y = -2
Step-by-step explanation:
y = -5x + 13
x = 3
y = -5(3) + 13
y = -15 + 13
y = -2
