2/3
denominator is increased by a number so 3+a
numerator is doubled so 2(2)= 4
in order for it to be a whole (or 1) then it would have to be 4/4
so 4-3=1
the number is 1
Answer:
The directrix is negative so the equation will be
x^2=4ay
x=-3
y=-5
a=x^2/4y
a=(-3)^2 /4*(-5)
a=9/20
x^2=4*(9/20)*y
x^2=9/5y
Step-by-step explanation:
The directrix always determine the equation to use. It is also important to notice the sign(-+).
X= 180 - (55 + [180 - 105])
x = 180 - (55 + 75)
x = 180 - 130
x = 50
Answer:
Step-by-step explanation:
Use the exterior angle theorem of a triangle.
According to this theorem; an exterior angle 
is equal to the sum of the two opposite interior angles (35+58).
Simplify;
A) p + n + d = 18
B) .01p + .05n + .10d = 1.14
C) 2p = d
Substituting C) into A)
A) p + n + 2p = 18 equals
A) 3p + n = 18
Substituting C) into B)
B) .01p + .05n + .10 *2p = 1.14
B) .01p + .05n + .2p = 1.14
B) .21p + .05n = 1.14
Taking equation A)
A) 3p + n = 18 and multiplying it by -.05
A) -.15p -.05n = -.90 Then adding this to B)
B) .21p + .05n = 1.14
.06p = .24
Therefore there are 4 pennies.
(I'll leave it to you to determine the nickels and dimes.)
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Oh what the heck, I'll finish it for you.
Looking at equation C)
C) 2p = d
We know there are 4 pennies so there are:
2 *4 = eight dimes
Looking at Equation A)
A) p + n + d = 18 we can fill in the pennies and the dimes:
A) 4 + n + 8 = 18
Therefore, there are 6 nickels.
