Answer:
x = 3
y = 2
Step-by-step explanation:
Diagonals of a parallelogram bisect each other into two equal segments. Therefore:
3x - 1 = 2(x + 1)
Solve for x
3x - 1 = 2x + 2
Collect like terms
3x - 2x = 1 + 2
x = 3
Also:
5y + 1 = 6y - 1
Collect like terms
5y - 6y = -1 - 1
-y = -2
Divide both sides by -1
y = -2/-1
y = 2
36x² - 100 = 4(9x²-25) = 4(3x+5)(3x-5)
B. 4(3x+5)(3x-5)
Answer:
The equation of circle is:
Solution:
The general form of equation is given as:
Where, "r" is radius of circle and (a, b) is center of circle
Given that center at (-2, 1)
a = -2 and b = 1
Substitute (a , b) = (-2, 1) and (x, y) = (-5, -3) in general equation
Substitute r = 5 and (a, b) = (-2, 1) in general equation
Thus the equation of circle is found
Answer:
13 * r
Step-by-step explanation:
If each member sells the same number of raffle tickets, then 13r would show that each of the 13 members will have sold <em>r</em> raffle tickets each. The expression is multiplication.
Given AP is 21 ,18,15,...
First term = 21
Common difference = 18-21 = -3
Let an = -81
We know that
an = a+(n-1)d
⇛21+(n-1)(-3) = -81
⇛ 21-3n+3 = -81
⇛24-3n = -81
⇛ 24+81 = 3n
⇛ 105= 3n
⇛ n = 105/3
⇛ n = 35
35th term of the AP is -81.
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