The coordinates of B are (4 , -3) .
A cartesian coordinate system, which uses signed distances between two fixed perpendicular oriented lines and the point measured in the same unit of length, uniquely identifies any point in a plane by a pair of numerical coordinates.
- The origin of each reference coordinate line, known as an axis of the system or simply an axis (plural axes), is the intersection of the ordered pairs (0, 0).
- The coordinates can also be determined by looking at the locations of the perpendicular projections of the point onto the two axes, which are shown as signed distances from the origin.
Let the coordinates of B be (x, y)
As M is the mid point of AB , we know from the distance formula that the coordinates of M will be:
abscissae of M = (-2 + x) /2
or, 1 = (-2 + x) /2
or, x = 4
Ordinate of M = (5 + y)/2
or , 1 = (5 + y)/2
or, y = -3
Therefore the coordinates of B are (4 , -3)
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It is not very likely you would roll one six.
Answer:
The probability is 0.28157
Step-by-step explanation:
The number of answers are 40 answers ( 10 questions and 4 answer each)
The number of correct answers is only 10
So the probability that he answers 2 exactly out of 10 means he correctly selected 2 answers
The probability will be;
10 C 2/ 40 C 10
This mean out of the total 10 correct, he selects 2 and out of the total 40 , he selects 10
The probability of selecting a correct answer is;
1/4 while the probability of selecting a wrong one is 3/4
So probability of selecting 2 correct out of a total 10 will be
10 C 2 (1/4)^2 (3/4)^8
= 0.28157
Answer:
Solve the 1st equation for y and then you substitute the answer of the y value to the other equation to get the x value
-4(9)(-5) = (-36)(-5) because -4(9) = -36. (-36)(-5) = 180
