4(3b – 21) = 8b + 60 Multi step equation
1 answer:
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Answer:
324 km²
Step-by-step explanation:
The prism shown is a square pyramid
The volume of a square pyramid can be calculated by using this formula
where l = length of base, w = width of base and h = height
We are given the following dimensions...
length of base = 9 km
width of base = 9 km
height = 12 km
To find the volume of the pyramid, we plug in these given values into the formula
Hence,
V = 324
First let's talk about the blue line.
You can see its rising so its slope is certainly positive. But by how much is it rising? You can observe that each unit it rises it goes 1 forward and 1 up so its slope is the ratio of 1 up and 1 forward which is just 1.
We have thusly,
Now look at where blue line intercepts y-axis, -1. That is our n.
So the blue line has the equation of,
Next the black lines. The black lines are axes so their equations are a bit different.
First let's deal with x-axis, does it have slope? Yes but it is 0. The x-axis is still, not rising nor falling. Where does x-axis intercept y-axis? At 0. So the equation would be,
Now we have y-axis. Does y axis have a slope? Yes but it is . The y-axis rises infinitely in no run. Where does it intercept y-axis? Everywhere! So what should the equation be? What if we ask where does y-axis intercept x-axis and write its equation in terms of x. Y-axis intercepts x-axis at 0 which means its equation is,
That is, every point of a form lies on y-axis.
Hope this helps :)