First, let's find what m is, the slope of the line...
m= y2-y1/x2-x1
m=7-4/3-2 You end up with 3/1 or 3 as your slope.
so far you have... y=3x+b
<span>Take (2,4). y=mx+b or 4=3*2+b, solving for b: b=4-(3)(2). b=-2.</span>
So your final equation is...
<span>y = 3x-2</span>
Answer: 2^16
Step-by-step explanation:
Answer: 
Step-by-step explanation:
To answer this, we have to use quadratic equations.
We can represent this by using information given to us.
Knowing that a parabola peaks at its vertex, and the flare goes from its launch site (x = 0) and hits the ground 30m from the launch site (x = 30), we know that the flare peaks 15 meters away horizontally from the launch point.
We also know that the y-intercept is 0, because it is fired from the ground.
Knowing that the vertex for the parabola is (15, 200) and the y-intercept is (0, 0), we can model an equation.
Vertex form is:
, where (h, k) is the vertex.

We can plug the y-intercept, (0, 0), into this equation to find a:

The surface area of the geometric shape is B. 840 cm².
Step-by-step explanation:
Step 1:
The given figure is made up of three rectangles and two triangles.
The surface area of the geometric shape is given by summing the individual surface areas.
The geometric shape's surface area = The sum of the individual surface areas.
Step 2:
The surface area of the rectangles is the multiplication of its length and width.
The surface area of the rectangle with length z and width x
.
The surface area of the rectangle with length y and width x
.
The surface area of the rectangle with length x and width x
.
Step 3:
The area of a triangle is half the product of its base length and height.
The surface area of a triangle with base y and height x
.
They are two similar triangles so their areas are equal
Step 4:
The geometric shape's surface area
.
So the surface area is option B. 840 cm².
First, you have to set up a system of equations. You can see all of my work and explanation on the picture attached! The answer is 40 adult tickets. I hope this helped you!! :))