Answer:
m = -1
Step-by-step explanation:
The slope of a line is calculated as ;
Given : (-2,3) and (2,-1)
m = Δy/Δx
m= -1-3 /2--2
m = -4 /4 = -1
The slope is -1
Answer:
Step-by-step explanation:
The domain is the horizontal extent of the graph, the set of x-values for which the function is defined. The range is the vertical extent of the graph, the set of y-values defined by the function.
<h3>Simplified</h3>
The given function is undefined where its denominator is zero, at x=1. Everywhere else, it can be simplified to ...

<h3>Domain</h3>
The simplified function (3x+4) is defined for all values of x except x=1. The simplest description is ...
x ≠ 1
In interval notation, this is ...
(-∞, 1) ∪ (1, ∞)
<h3>Range</h3>
The simplified function is capable of producing all values of y except the one corresponding to x=1: 3(1)+4 = 7. The simplest description is ...
y ≠ 7
In interval notation, this is ...
(-∞, 7) ∪ (7, ∞)
Answer:
Step-by-step explanation:
Area is pi times r squared. I don't know how to write that on the keyboard. Take your pi(3.142) times the radius(6.2)squared. Pemdas tell us to do exponents first, so 6.2 squared is 38.44. To square a number, just multiply it times itself. So now, we have pi(3.142) times the squared radius(38.44). So, 3.142X38.44=
120.778 Second place is seven followed by eight. Round up. 120.78
Answer:
(3, 2)
Step-by-step explanation:
To be considered part of a solution set for the inequality provided, a given point must lie within the shaded region that is graphed. Since we want to find the point that is <em>not</em> included in the solution set for the inequality, we need to find the point that does <em>not</em> lie in the shaded region.
Let's test each point to see which doesn't lie in the region. Refer to the image below if you're having trouble graphing the points:
- (0, 6): This point lies in the shaded region, so it is not our answer.
- (1, 5): This point lies in the shaded region, so it is not our answer.
- (2, 4): This point lies in the shaded region, so it is not our answer.
- <u>(3, 2): This point </u><u><em>does not</em></u><u> lie in the shaded region, so it is our answer.</u>
<u></u>
Hope this helps!
Answer:

Step-by-step explanation:
To find the cosine of <R, apply the following trigonometric ratio formula:

Adjacent = 3
Hypotenuse = √15
Plug in the values into the formula

Multiply the numerator and denominator by √15 to rationalize.



