Answer:
Raising something to a negative exponent is just taking the reciprocal of the amount.
Step-by-step explanation:
Let's assume that you wanted to know what
is.
To find it, you would take the reciprocal of the x amount. So
becomes
.
This works because of the nature of exponents. Exponents represent the number of times you are multiplying a value by itself. So
would be equal to a · a · a. To increase the exponent, you increase the number of times the value is multiplied by itself: To increase
to
, you would have to multiply a with
two more times (a · a · a · a · a). To decrease the exponent, you must divide the value by itself. So to decrease
to
, you would have to divide
by a 3 times.
If the exponent is 0, the value is equal to 1. But you can still decrease the exponent into negative numbers. You just divide 1 by a the desired amount of times:
means that you are dividing 1 by a 3 times.
Hope this helps.
Answer:
x = 2 , y = 11
Step-by-step explanation:
the diagonals of a parallelogram bisect each other , then
PT = TR , that is
y = 5x + 1 → (1)
QT = TS , that is
2y = 6x + 10 → (2)
substitute y = 5x + 1 into (2)
2(5x + 1) = 6x + 10
10x + 2 = 6x + 10 ( subtract 6x from both sides )
4x + 2 = 10 ( subtract 2 from both sides )
4x = 8 ( divide both sides by 4 )
x = 2
substitute x = 2 into either of the 2 equations for corresponding value of y
substituting into (1)
y = 5(2) + 1 = 10 + 1 = 11
(2*3*1)=6
135/6=22.5
1st = 22.5 ft
2nd= 45 ft
3rd = 67.5 ft
add it up and you get 135 feet
Find the minimum point on the parabola, and take the x component of the coordinate. Then, put that number into this equation: x = (whatever the number was) so in this case the axis (or line) of symmetry is x = 1
2/3 × m2 = - 1
m2 = - 3/2
2 = - 3/2(4) + c
4 = - 12 + 2c
2c = 16
c = 8
y = - 3/2x + 8