Answer:
equation of line is:
y = -2x - 6
Explanation:
The general form of the line is:
y = mx + c
where:
m is the slope of the line
c is the y-intercept
(a) getting the slope of the line:
slope of the line is calculated using the following rule:
slope of line (m) = (y2-y1) / (x2-x1) = (-24--12) / (9-3) = -2
The equation now becomes:
y = -2x + c
(b) getting the y-intercept:
The two given points belong to the line. Therefore, to get the y-intercept, we will use one of the points and substitute in the equation and solve for c.
I will use the point (3,-12)
y = mx + c
-12 = -2(3) + c
-12 = -6 + c
c = -12 + 6
c = -6
Based on the above, the equation of the line is:
y = -2x - 6
Hope this helps :)
We can find the radius by using the formula: C = 2(pi)(r)
We'll use 3.14 for pi.
And solve for r.
18.84 = 2(3.14)r ; Start
18.84 = 6.28r ; Multiply 3.14 by 2
3 = r ; Divide both sides by the coefficient of r. Which is 6.28
So, the radius is 3 miles.
Answer:
Polygon, quadrilateral, convex, and equilateral.
Step-by-step explanation:
Answer:
-1, 0, 0.1, 1
Step-by-step explanation:
-1 is a negative value, which makes it before 0
0.1 is less than 1 but more than 0
Answer:
176.39 inches or
14.70 feet
Step-by-step explanation:
Consider the right triangle made by Kristen, ground and shadow.
This triangle has one leg as 64 inches.
Next consider the right triangle formed by street light, ground upto shadow tip.
The two triangles have common angle of elevation and also another angle as 90 degrees.
Hence the two triangles would be similar
Also if A is the angle made by hypotenuse of both triangles with the ground we have
This value also equals by bigger triangle as
From these two we get
h = height of street light =
