Answer:
b=-2aH
Step-by-step explanation:
H=-b/2a
Apply cross multiplication
H×2a=-b
2aH=-b
In the question you are to find positive b not negative b so you have to take negative b to the left hand side of the equation to become positive b and take 2aH to the right hand side to become -2aH
therefore b=-2aH
Answer:
₹40000, 66.6%
Step-by-step explanation:
Given data
Number of boxes= 50
Cost per box= ₹1200
Total cost= 50*1200= ₹60000
Total number of mangoes in all 50 boxes= 50*100= 5000 mangoes
Cost price per mago= 60000/5000= ₹12
Selling price per mango= ₹20
profit = selling price- cost price
profit= 20-12
proft= ₹8
Total profit = 8*5000
Total profit= ₹40000
%profit = 40000/60000*100
%profit= 0.666*100
%profit= 66.6%
Answer:
D.
Step-by-step explanation:
A.
9 (x - 3) = 9x - 27 ➡ 0 = 0 (this has infinite solutions)
B.
9x - 3 = 9x - 3 ➡ 0 = 0 (has infinite solutions)
C.
9x - 3 = 27x - 3 ➡ x = 0 (has one solution)
D.
9 (x + 3) = 9(x + 10) ➡9x +27 = 9x +90➡ 9x -9x = 90 - 27 ➡ 0 = 63 (doesn't make sense so it has no solution)
Given:
The equation of a circle is
A tangent line l to the circle touches the circle at point P(1,3).
To find:
The equation of the line l.
Solution:
Slope formula: If a line passes through two points, then the slope of the line is
Endpoints of the radius are O(0,0) and P(1,3). So, the slope of radius is
We know that the radius of a circle is always perpendicular to the tangent at the point of tangency.
Product of slopes of two perpendicular lines is always -1.
Let the slope of tangent line l is m. Then, the product of slopes of line l and radius is -1.
The slope of line l is 
and it passs through the point P(1,3). So, the equation of line l is
Adding 3 on both sides, we get
Therefore, the equation of line l is .
