Answer:
y = 3
Step-by-step explanation:
We need to find the slope. We do so by choosing any two points and dividing the change in the y-coordinates (their difference) by the change in the x-coordinates (their difference). Let's just choose (1, 3) and (0, 3). The slope is: . So, the slope is 0.
We want to write a line in slope-intercept form, which is: y = mx + b, where m is the slope and b is the y-intercept (where the line crosses the y-axis). Here, the slope m = 0. Looking at the graph, we see that the y-intercept is (0, 3), so b = 3. Then, our line is: y = 0x + 3 ⇒ y = 3.
Another note is that this is a horizontal line. One thing to remember is that all horizontal lines have slopes of 0, so their function is simply y = k, where k is a constant through which the line cuts through.
Answer:
Sharing cone holds 9 times more popcorn than a skinny cone.
Step-by-step explanation:
Height of each cone = 9 inches
Radius of the sharing size cone = 3 times radius of the skinny size cone
Let the radius of skinny size cone = r
Then radius of the sharing size cone = 3r
Volume of the sharing size cone =
=
= 27πr²
Volume of the skinny size cone =
=
= 3πr²
Ratio of the volumes =
=
= 9
Therefore, sharing cone holds 9 times more popcorn than a skinny cone.
1. The interior angles of any triangle add to 180 degrees in measure. So
Then by the law of sines,
2. By the law of sines,
so that
Then
so that
Step 1: Simplify both sides of the equation.
x−7=15+3x
x+−7=15+3x
x−7=3x+15
Step 2: Subtract 3x from both sides.
x−7−3x=3x+15−3x
−2x−7=15
Step 3: Add 7 to both sides.
−2x−7+7=15+7
−2x=22
Step 4: Divide both sides by -2.
−2x/−2=22/−2
x=−11
Interchange the x and y and solve for the resulting y.
x = 4y^2 - 2
(x + 2) = 4y^2
(x + 2)/4 = y^2
+/- sqrt(x + 2)/2 = y
The graph of these two is below.
The original is in red
The inverse is in blue and green