Answer:
see below
Step-by-step explanation:
Consider the rule y = 5x + 7.
a. How many tiles are in Figure 0?
In figure 0, we let x=0
y = 5*0+7 = 0+7 = 7
b. Which figure has 37 tiles?
This means y = 37
37 = 5x+7
Subtract 7 from each side
37-7 = 5x+7-7
30 = 5x
Divide by 5
30/5 = 5x/5
6 =x
Figure 6 has 37 tiles
c. In the equation y = mx + b, what do the letters m and b represent?
m is the slope or how much it is increasing each time x increases by 1 and b is how much we start with when x =0
Use the degree of the function, as well as the sign of the leading coefficient to determine the behavior. 1. Even and Positive: Rises to the left and rises to the right. 2.
First, let's put that line in standard form
y - 3 = 3(x + 1)
y - 3 = 3x + 3
y = 3x + 6
(Standard form is y = mx+b, where m is slope and b is y-intercept.)
Now, a line parallel to that line would have the same slope of 3. So now we have m = 3. Plug that in for m and now we have
y = 3x + b
But we still need the b value. We can get that by plugging in the point (0, -3)
(-3) = 3(0) + b
-3 = 0 + b
b = -3
Now put b back into the equation and your final equation is
y = 3x - 3
The volume of a pyramid is:

You need the height for this. You are given the hypotenuse of a triangle, and the base of that triangle is half of 42 if you can see that. So, let's solve for the height using pythagorean theorem:

Solve for h:

Now you have all the information, let's just plug everything in:

So, your volume is 597.33 cm³. Hope everything makes sense. hmy if something doesn't.