Answer:
13 units^2
Step-by-step explanation:
one side of the square =



So area of square = Length * Length
=
*
= 13
Answer:
y = (5/2)x + 20
Step-by-step explanation:
Since the bus and train are both at the station at time 0, the y-intercept for the new equation is 20. That is one point on the new graph: (0,20) The question said that the train travels faster, that means it spends less time getting to the next station. The existing graph shows the bus got to the next station in 10 minutes, so maybe the train got there in 8 minutes. So another point on the graph is (8,0) We can use a slope formula to calculate the slope of a new line. Or just count squares on the graph (se image) to find the slope. Slope tells how steep a line is, whether the line is going up or down, but also the slope is like directions how to get from one point to another point on the line.
All you need to write an equation is the slope, m and the y-intercept, b and fill those two numbers into the formula y=mx+b Here slope is 5/2 and y-intercept is 20. So you get
y=(5/2)x +20
The last one. And I did answer for you too.
It will take 8 seconds for all of the dominoes to fall over.
This will be an exponential function. To find the growth rate, we can write out the terms of the sequence that goes along with it: 10, 20, 40, ...
"Growth rate" is the same as percent of increase or decrease. We find the amount of increase and divide by the original amount: 20-10 = 10 increase; 10/10 = 1.
The exponential function is of the form
f(x) = a*(1+r)ˣ, where a is the initial value (10), r is the growth rate (1), and x is the number of time periods. Using the variables given to us in the problem along with this information, we have:

Divide both sides by 10:

We will use logarithms to solve this:
A) if they were the same function, they would have identical graphs ⇒ it's not A
B) it's flipped vertically, but it's not moved ⇒it's not B
C) it's flipped vertically, not horizontally ⇒ it's not C
So it must be D)