Answer:
x ∈ {-26, 22}
Step-by-step explanation:
A graph shows that the points (-26, -27) and (22, -27) lie on a circle of radius 40 centered at (-2, 5). That is, if Q is either one of these points, the vector PQ will have a length of 40:
- √((-26-(-2))^2 +(-27-5)^2) = √((-24)^2 +(-32)^2) = √1600 = 40
- √((22 -(-2))^2 +(-27 -5)^2) = √(24^2 +(-32)^2) = √1600 = 40
You can call it -40 if you like, but you have to define what negative length means when you do that.
Here, the distance traveled is not given, but Irina's bike-riding speed is: it is 16 mph.
Let the distance traveled be d. Then d = (27 mph)(0.4 hr) = 10.8 miles.
By bicycle, distance = rate times time. Here, 10.8 miles = (16 mph)(time), and so
10.8 mi
time = --------------- = 0.675 hour (40.5 minutes).
16 mph
Answer:
72 ft.
Step-by-step explanation:
In this problem, we are looking for the perimeter of the kennel. The perimeter of a rectangle has the formula, 
, where <em>l</em> represents the length of the rectangle and <em>w</em> represents the width of the rectangle. We are given both the length and the width (or simply the two sides) of the rectangle, and all we need to do is plug it into the formula!
<u>Therefore, it would require 72 ft. of fencing to enclose the kennel.</u>
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<em>I hope this helps! Let me know if you have any questions :)</em>
Recall that the slope or gradient of a line segment through two points is the ratio of the change in the <em>y</em> coordinate to the change in the <em>x</em> coordinate.
If the gradient is 1, then
1 = (-3 - 4) / (<em>a</em> - 3<em>a</em>)
Solve for <em>a</em> :
1 = -7 / (-2<em>a</em>)
1 = 7/(2<em>a</em>)
2<em>a</em> = 7
<em>a</em> = 7/2
