The answer is choice B in the upper right hand corner.
Choice B is the graph that is a straight line and it's a single unbroken straight line. There are no gaps or jumps or any kinds of bends like choice A shows. Choice A is an absolute value graph, which is the result of gluing together two linear functions. Overall, graph A is considered nonlinear. Choices C and D are nonlinear as well.
If we calculate the distance between two points, it is equivalent to one side of the rectangle. Using the distance formula:
d = √((x₂ - x₁)² + (y₂-y₁)²)
We compute the distance between the points (-3,2) and (5,4)
d = √((5 + 3)² + (4 - 2)²) = √68
Now, we check the next two points:
d = √((6 - 5)² + (0 - 4)² = √17
Now, we know that the adjacent sides of a rectangle are equal so the perimeter can be calculated using:
P = 2(l₁ + l₂)
P = 2(√68 + √17)
=24.7 units.
The magnitude of the vector from the origin is 10
The unit vector in of the vector from the origin as (8/10, -6/10
<u>Step-by-step explanation:</u>
<u>1.Finding the magnitude,</u>
we have the formula,
magnitude=√a²+b²
we have the values as a=8 and b=-6
Finding the magnitude we get,
magnitude=√a²+b²
magnitude=√8²+6²
magnitude=√100
magnitude=10
The magnitude of the vector from the origin is 10
<u>2.Finding the unit vector</u>
Divide by the magnitude
Unit vector: (8/10, -6/10)
The unit vector in of the vector from the origin as (8/10, -6/10
Answer:
100 lightbulbs
Step-by-step explanation:
Basically find the percentage of lightbulbs that are bad. 5/136. So about 3. 6 percent. I'm going to use a more exact form of this percent for my calculations though. Now use the decimal for of this (0.036....) and multiply it by 2720. Using my exact decimal, the answer just so happened to be exactly 100. So there will be 100 defective lightbulbs per day. (Teachers are a stickler for units, so don't forget them if it's for a teacher)
Hope this helps!
