So we get the solution as
(
5
,
23
)
(
−
2
,
2
Answer:
m = -3/4
Step-by-step explanation:
Take any two points on a line to find the slope. Here they give you the points
(0, 5) and (4, 2).
Put these points into the slope formula.
y₂ - y₁/x₂ - x₁
2 - 5/4 - 0
-3/4
The slope of this line is -3/4.
Answer: (1) Distributive (2) Commutative (3) Associative
(4) Commutative (5) Addition Property of Equality
<u>Step-by-step explanation:</u>
1) Distributive
(x + 4) was multiplied by 3 and (2x - y) was multiplied by 5
2) Commutative
10x and -5y switched places
3) Associative
The parenthesis changed partners
4) Commutative
(12y - 5y) and 10x switched places
5) Addition Property
Like terms were added together --> 3x + 10x = 13x and 12y - 5y = 7y
Answer:
Yes, point B will lie inside the circle.
Step-by-step explanation:
Let the distance between point C and point A be the radius of our given circle.
We have been given that a circle with center C(4, -2) passes through the point A(1, 3).
Since we know that a point will lie inside circle if the distance between the point and center of circle is less than radius of circle.
Let us find distance between points C and A using distance formula.
Radius of our circle is . Now let us find distance between center of our circle and point B.
We can see that distance of point B from center of our given circle is less than distance between point A and center of circle, therefore point B will lie inside the circle.
You will need to add all of the hours and multiple by 8.60 that is going to give you the total of =202.1