X - 8 = 23
x = 23 + 8
x = 31 <== originally on their 31 yard line
Answer:
D. Negative.
Step-by-step explanation:
In truth, when given the graph you don't really need to use the points, but if needed it you would use the formula:
y-y₁=m(x-x₁)
Plug in your information and solve.
-1 - 5 = m (2 - (-1))
-6 = m (3)
-6 = 3m
m = -6 / 3
m = -2
(m = slope)
Also, when shown on the graph =
If the slope is going:
up from left to right: it's positive
down from left to right: it's negative
straight up and down (vertical): it's undefined
straight left to right (horizontal): it's zero.
Answer:
t2 = 52.8 hours
it will take 52.8 hours if its flow is reduced to 5 litres per minute.
Step-by-step explanation:
The volume of the swimming pool can be written as;
Volume V = flow rate × time
V = R×t
V = R1×t1 = R2×t2
R1×t1 = R2×t2
t2 = R1×t1/R2 ........1
Given;
Flow rate R1 = 12 litres per minute
Flow rate R2 = 5 litres per minute
time t1 = 22 hours
Substituting the given values into equation 1;
t2 = R1×t1/R2 = 12×22/5
t2 = 52.8 hours
it will take 52.8 hours if its flow is reduced to 5 litres per minute.
When a shape gets dilated by a scale factor larger than 1, the area, perimeter, and lengths will be increased. However, angles will stay the same.
Answer:
920*1.12^t
Step-by-step explanation:
Every year, we see that it goes up 12%.
12% in decimal form is 0.12.
Let's say we have "x" amount of cars one year. The next year, the number of cars will increase by 12%. 0.12x is added on after one year.
So in total, at the beginning of a new year, the number of cars is 0.12x+x = 1.12x.
In this case, we have 920 cars. So if every year the number of cars is multiplied by 1.12, then in "t" years we will have 920*(1.12)^t. We multiply by 920 because that's the current number of cars, and we add the ^t because we multiply by 1.12 every year.
You are very welcome!
:P
