I need help on 5 and 6
1 answer:
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The translation of the question given is
A line that passes through the points A (2,1) and B (6,3) and another line passes through A and through the point (0, y). What is y worth, if both lines are perpendicular?
Answer:
y = 5
Step-by-step explanation:
Line 1 that passes through A (2,1) and B (6,3)
Slope (m1) = 3-1/6-2 = 2/4 = 1/2
y - 1 = ( x -2)
2y - 2 = x- 2
y =
Line 2 passes through A (2,1) and (0,y)
slope (m2) =
Line 1 and Line 2 are perpendicular
m1*m2 = -1
*
= -1
y-1 = 4
y = 5
slope = -2
Equation of Line 2
Y-1 = -2(x-2)
y -1 = -2x +4
2x +y = 5
Answer:
The value of second quantity is 27
Step-by-step explanation:
Inverse variation can be represented by the equation xy=k or i.e,
y varies inversely as x , if there is some nonzero constant k such that, xy =k or where x≠0 and y≠0.
Given: Two quantities vary inversely.
Let x be the first quantity and y be the second quantity if they vary inversely.
then, by definition of inverse variation;
.....[1]
Substitute the value of x=15 and y=18 to solve for k;
Multiply both sides by 15 we have;
Simplify:
k=270
now, find the second quantity y using same method when x=10.
then;
after substituting the value of x=10 and k=270 in [1] ;
Simplify:
y= 27
Therefore, the second quantity value i.e,y = 27