Help!!! ASAP How to solve for x and find the perimeter
1 answer:
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Y = mx + b
m is your slope AKA rate of change
b is the y intercept.
from the graph we can see that the y intercept (b) is 15. (look at the y axis and see what point the line crosses on the y, here it is 15, in-between 10 and 20)
slope is rate of change. to figure this out remember slope = rise over run:
so pick two points. how much does one point rise after the other point you picked? In the graph it rises 1 square so rise = 1
Now looking at the same two points, how far away from each other are they on the x axis? Looking at the graph they are 2 squares away from each other. so run = 2
Now plug these numbers into the rise over run formula:
Now we have everything we need to put into our formula for a line:
For number 16 you should get:
after you do the same steps again yourself
m is your slope AKA rate of change
b is the y intercept.
from the graph we can see that the y intercept (b) is 15. (look at the y axis and see what point the line crosses on the y, here it is 15, in-between 10 and 20)
slope is rate of change. to figure this out remember slope = rise over run:
so pick two points. how much does one point rise after the other point you picked? In the graph it rises 1 square so rise = 1
Now looking at the same two points, how far away from each other are they on the x axis? Looking at the graph they are 2 squares away from each other. so run = 2
Now plug these numbers into the rise over run formula:
Now we have everything we need to put into our formula for a line:
For number 16 you should get:
after you do the same steps again yourself
Answer:
The time taken for the upward motion is 1 second. The same time is taken for the downward motion
It reaches a maximum height of 4.9 meters.
Step-by-step explanation:
The equation of motion is:
Since the term which multiplies t squared is negative, the graph is concave down, that is, x increases until the vertex, where it reaches it's maximum height, then it decreases.
Vertex of a quadratic equation:
Quadratic equation in the format
The vertex is the point , in which
In this question:
So
Vertex:
The time taken for the upward motion is 1 second.
It reaches a maximum height of 4.9 meters.
Downward motion:
From the vertex to the ground.
The ground is t when x = 0. So
Or
It reaches the ground when t = 2 seconds.
The downward motion started at the vertex, when t = 1.
So the duration of the downward motion is 2 - 1 = 1 second.