Answer:
Hello! The answer to your question will be below.
Step-by-step explanation:
The answer would be clockwise.
So point k was rotated 90 degrees clockwise.....
Review.....
Question:
Point K is rotated 90 degrees. The coordinate of the pre-image point K was (2,-6) and it’s image K’ is at the coordinate (-6,-2).Find the direction of the rotation.
THE DIRECTION OF THE ROTATION WAS CLOCKWISE.
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Answer:
The equation of the axis of symmetry is x = 7
Step-by-step explanation:
Mathematically, we have the equation of the axis of symmetry as;
x = -b/2a
where a is the coefficient of x^2 = 1
b is the coefficient of x which is -14
So, the equation of the axis of symmetry will be;
x = -(-14)/2(1) = 14/2 = 7
So the equation of the axis of symmetry is x =7
f(x)=4x
To find the inverse, first change f(x) to y:
y = 4x
Now switch the variables:
x = 4y
Solve for Y:
Divide both sides by 4:
y = x/4
Now replace y with the inverse function f^-1(x):
f^-1(x) = x/4
The value of the coin times the number of coins all added up equals the total value of the piggy bank
so
0.05n + 0.10d = 5.60
then they have given us "number of nickels is 8 less than 3 times the dimes"
this translates to
n = 3d - 8
we plug this into our first equation and we get
0.05(3d - 8) + 0.10d = 5.60
now we solve for d
first we can distribute the 0.05
0.15d - 0.40 + 0.10d = 5.60
then we can add the 0.15d and 0.10d together
and get
0.25d - 0.40 = 5.60
then we can add 0.40 to both sides
0.25d = 6.00
then divide both sides by 0.25
d = 6.00 / 0.25 = 24
so we have 24 dimes
then to find nickels, we plug in 24 for d into
n = 3d - 8
and get
n = 3(24) - 8
n = 72 - 8
n = 64
therefore we have
64 nickels
and
24 dimes
