Answer:
y = -x - 8
Step-by-step explanation:
Midpoint of the line:
x = (x1 + x2)/2 = (-8 + -4)/2 = -12/2 = -6
y = (y1 + y2)/2 = (-5 + 1)/2 = -4/2 = -2
so midpoint is (-6,-2)
Slope of the line: Slope m = (y2-y1)/(x2-x1)
m = (-1 - -5)/(-4 - -8) = (-1 + 5)/(-4 + 8) = 4/4 = 1
Perpendicular lines have slopes that are negative reciprocals of one another
so slope of the perpendicular line is -1/1 is -1
y = mx + b
y = -x + b
Using (-6,-2)
-2 = -(-6) + b
-2 = 6 + b
b = -8
so y = -x - 8
Answer:
F = 48
Step-by-step explanation:
F= 8/5 (c) + 40
Let c=5
F = 8/5 * 5 +40
= 8 + 40
= 48
Answer: (b) exactly one plane contains a given line and a point not on the line.
Step-by-step explanation: The basic postulates of geometry are very-well known to all of us. For example-
(i) The intersection of two lines determines a point,
(ii) Two parallel lines give result to a plane,
(iii) A line and a point not on the line determines a plane, etc...
Thus, with the help of the third point, we can easily arrive at the conclusion that a given line and a point not lying on the line is contained in a plane. For example- see the attached figure, AB is a line and P is any point not on the line. They both contained in the plane ABC.
Hence, the correct option is (b).
The answer is choice D
-----------------------------------------
Explanation:
We can rule out choice B and choice C which are y = 2.4^x and y = 3.5^x respectively. Why can we eliminate these? Because they are growth functions (the bases are larger than 1). The graph shown is a decay function. It goes downhill as you read it from left to right.
The answer is either choice A or choice D
If we plug in x = -2 into the equations for A and D, we get
y = 0.65^x = 0.65^(-2) = 2.36686
y = 0.32^x = 0.32^(-2) = 9.765625
The result for choice D is much closer to what the graph is showing. The graph appears to have the point (-2,11) on the curve. So that's why choice D is the best answer.
Note: the graph is a bit small and its not entirely clear which points are on this graph other than (0,1). So this is a bit of educated guesswork.
