The rate of change is
(2- (-1))/ (3/2-(-4)) => 3 / (11/2)
that is equal to 6/11 so almost 1/2
<u>Given</u>:
The given equations are 
and 
We need to determine the pair of numbers that is a member to the system of equations.
<u>Pair of numbers:</u>
The pair of numbers can be determined by solving the system of equations.
Let us use the substitution method to solve the equations.
Substituting in the equation , we have;
Thus, the value of x is 1.
Substituting x = 1 in the equation , we get;
Thus, the value of y is 7.
Hence, the pair of numbers that is a member of both the equations are (1,7)
Answer:
45 mph
Step-by-step explanation:
This is a really good question to know the answer to. It is tricky and a bit indirect (which means you have to find something else before you can find the speed of the car.)
Let's keep track of what he does in the time allotted.
How far does Joe go in 5 minutes? That's the amount of time he's on the road before she is.
convert 5 minutes into hours. 5 minutes * 1 hour / 60 minutes = 1/12 of an hour
d = r*t
r = 30 km/hour
t = 1/12 hour
d = 30 km/hr * 1/12 hour = 2.5 km
Now she's about to start. She wants to catch him in 10 minutes
d = r*t
r = x mph
t = 10 minutes = 10 minutes * 1 hour * 60 minutes = 1/6 of an hour.
How far does he go in the 10 minute time?
d = 30 * 1/6 = 5 km
What is his total distance
5 km + 2.5 km = 7.5 km
Finally how fast does she need to go to catch him
d = 7.5 km
r = ? This is what you are trying to find
t = 1/6 of an hour
d = r*t
7.5 km = r * (1/6)hour divide by 1/6 hour
7.5 km // 1/6 hour = r
r = 7.5 * 6 = 45 mph
Answer:
20 km
Step-by-step explanation:
We will imagine a triangle. The hypotenuse of the triangle is the distance between you and the plane. 16 kilometres is the aerial space between you two, in other words its the base of the triangle. 12 km is the length of the third leg of the triangle. We will apply the pythagorean theorem to find the length of the hypotenuse and the distance between you and the plane.
a^2 + b^2 = c^2
12^2 + 16^2 = c^2
144 + 256 = c^2
400 = c^2
square root of 400 is c which equals 20 km.
Answer:
False.
Step-by-step explanation:
That is false. For y = x^2 the dependent variable is y. The vertical axis is used for the dependent variable.
