Answer:
40
Step-by-step explanation:
Two ways we can solve this problem:
1. Graphically
2. Mathematically
Because you already solved it graphically, I will show you how to do so mathematically. Of course, graphically is much much easier and more efficient in this problem.
Let's break the problem down.
First, we are given a graph which contains a slope.
To find slope, we use the technique -> rise/run
Picking 2 obvious points from the graph, we can see
1st point -> (10, 20)
2nd point -> (40, 80)
Now, let's find the slope
Now, we have an equation y = 2x, where y = number of pies and x = cups of sugar
We want to find how many cups of sugar we need to bake 80 pies. Simply substitute 80 = number of pies = y
y = 2x -> 80 = 2x
Solving for x, divide both sides by 2
40 = x
We need 40 cups of sugar.
<h2>
Explanation:</h2><h2>
</h2>
Here you haven't provided any function, so I'll assume this one:
This is a quadratic function whose graph represents a parabola. Any parabola has its vertex at the point:
Therefore:
Therefore, the vertex is:
Answer:
50
Step-by-step explanation:
Answer:
The measure of the missing angle is 90°
Step-by-step explanation:
∵ This figure is a quadrilateral
∴ the sum of measures of its angles = 360°
∴ m∠x = 360 - 107 - 72 - 91 = 90°
<u>Answer:</u>
(0.5, -0.5)
<u>Step-by-step explanation:</u>
We are given a line segment on the graph with two known points (ending points) and we are to find its mid point.
We know the formula for the mid point:
Substituting the coordinates of the given points in the above formula:
Mid point = = (0.5, -0.5)