(-2,6) (5,-8)
slope = (y2 - y1) / (x2 - x1)
slope = (-8 - 6) / (5 - (-2) = -14/7 = -2 <==
midpoint = (x1 + x2)/2 , (y1 + y2)/2
m = (-2 + 5)/2 , (6 - 8)/2
m = (3/2, -1) <===
distance = sqrt ((x2 - x1)^2 + (y2 - y1)^2)
d = sqrt ((5 - (-2)^2 + (-8 - 6)^2)
d = sqrt ((5 + 2)^2 + (-14^2))
d = sqrt (7^2 + 14^2)
d = sqrt (49 + 196)
d = sqrt 245
d = 15.65 <==
Answer:
12% of 60, 400% of 18, 55% of 220
Step-by-step explanation:
12% of 60 =7.2
55% of 220 = 121
400% of 18 = 72
7.2, 72, 121
Answer:
The perimeter of a rectangle is the sum of both lengths and both widths, which is equal to 54 meters. Let's call Length L and Width W.
The question is saying this: L = 3 meters + 3(W). We have 2 variables, which means we need at least 2 equations to solve. So far we have one, our second equation is from the perimeter.
2 lengths + 2 Widths = 54. Now, it's just a plug and chug.
2(3 + 3W) + 2W = 54.
6 + 6W + 2W = 54
8W = 48
W=6
L = 3 + 3(6) = 21
To double check: 2(21) + 2(6) = 42 + 12 = 54
The Width is 6 meters, and the Length is 21 meters.
Answer:
Explanation given below.
Step-by-step explanation:
The first step is to put the parabola in the form 
, which is the <em>standard form of a parabola</em>
<em />
<u>Note:</u> a is the coefficient before x^2 term, b is the coefficient before x term, and c is the independent constant term
The axis of symmetry divides the parabola symmetrically. The axis of symmetry has the equation 
Where <em><u>a and b are the respective values shown above</u></em>
<em><u /></em>
So, that is how you get the axis of symmetry of any parabola.
Answer:
Step-by-step explanation:
We are given that:
First term (a) = 5
common ratio (r) =1/3
So, the t of 7 term is 5*1/729=5/729
