0.59 increase because it went up
Step-by-step explanation:
Answer:
1.7 units
Explanation:
The length of an arc is calculated using the formula below:
Substitute the given values of θ and r:
The length of the arc is 1.7 units.
Answer:
First, plot points A & B on a graph.
Collinear just means 3 or more points in a straight line (because just 2 points are always collinear, since a straight line can always be drawn through two points.
The instructions don't state a specific area in which points C & D have to be in, so you can put them anywhere, as long as they are collinear with each other, but not any other points,
- i.e. putting three units up and two units left of points A & B
So let's make up some points for C & D that are on a straight line.
- Remember, this line does <em>not</em> have to be horizontal! As long as it's a straight line, any direction will do.
Here are some points that you can choose from:
- C(-1, 1); D(-1, -1)
- C(4, 5); D(4, -5)
- C(3, 4); D(3, 5)
- Anything that doesn't fall on x=2 or y=±3.
For "F" just pick a set of coordinates off to the side and label it
You can even use half values if you want:
- (0.5, 3.2)
- (1.2, -4.1)
- (-9.1, -0.2)
As long as your plotted points meet the criteria:
- C & D are <em>Collinear</em>
- A, B, C, D, & F must not land on the same straight line.
Answer:
y = ½(13- x)
Step-by-step explanation:
Step 1. Find the<em> slope (m₁) of the original line
</em>
The equation for the original line is
y = 2x - 6
slope = m₁ = 2
Step 2. Find the <em>slope (m₂) of the perpendicular line
</em>
m₂ = -1/m₁ Substitute the value of m₁
m₂ = -1/2
Step 3. Find the <em>equation for the perpendicular line</em>
y = mx + b Substitute the value of m₂
y = -½x + b
The line passes through (5, 4).
4 = -½(5) + b Add 5/2 to each side
4 = -5/2 + b Add 2 to each side
b = 13/2
y = -½x + 13/2
y = ½(13 – x)
In the image, below, the red line is the graph of your original equation.
The blue line passing through (5, 4) is the perpendicular line.
