Answer: (a,b)= (7.13 ,-8.27)
Step-by-step explanation:
From the data, we have
A-B+3C=0
where, A= (-8.6, 18.0)
B= (12.8, -6.8)
and let C= (a, b)
So, putting values
(-8.6, 18.0) - (12.8, -6.8) + 3(a,b)=0
3(a,b) + (-21.4, 24.8) = 0
3(a,b)= (21.4, -24.8)
(a,b)= (7.13 ,-8.27)
we are given equation of line
Equation of perpendicular line:
Firstly , we will find slope of line
we can compare it with
y=mx+b
we get
we know that
slope of perpendicular line will be -1/m
so, slope is
It passes through point (-4,5)
so, we can use point slope form of line
we get
..........Answer
Equation of parallel line:
Firstly , we will find slope of line
we can compare it with
y=mx+b
we get
we know that
slope of parallel line always equal
so, slope is
It passes through point (-4,-5)
so, we can use point slope form of line
we get
............Answer
Answer:
Subtract:
2/3 - 1/2 = 2/3 • 2/2 - 1/2 • 3/3 = 4/6 - 3/6 = 4-3/6 = 1/6
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(3, 2) = 6. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 3 × 2 = 6. In the next intermediate step the fraction result cannot be further simplified by cancelling.
In words - two thirds minus one half = one sixth.
Hope this helps
Answer:
(2.5, -2)
Step-by-step explanation:
The solution to a <u>graphed</u> system of equations is the point of intersection.
From inspection of the given graph, the two lines intersect at the point (2.5, -2). Therefore, the solution to the system of equations represented by the graph is (2.5, -2).
<u>Further information</u>
- If the lines are parallel (they have the same slope) there will be no solution, as the lines will never intersect.
- If the lines are the same (one line on top of the other line), there will be infinitely many solutions.
Answer:
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Step-by-step explanation:
