This is true. To find the circumference (the distance around the circle) you multiply the diameter with pi.
Answer:
x = 15 ft
y = 15 ft
A(max) = 225 ft²
Step-by-step explanation:
Let call "x " and " y " sides of the rectangle x (side paralll to the northern boundary, then:
A(r) = x*y and 4*x + 2*2*y = 120 or 4*x + 4*y = 120
4*x + 4*y = 120 ⇒ x + y = 30 ⇒ y = 30 - x
Area of the garden as a function of x is:
A(x) = x* ( 30 - x ) ⇒ A(x) = 30*x - x²
Taking derivatives on both sides of the equation
A´(x) = 30 - 2*x
A´(x) = 0 ⇒ 30 - 2*x = 0
2*x = 30
x = 30/2
x = 15 ft
And y = ( 30 - x )
y = 15 ft
A(max) = 15*15
A(max) = 225 ft²
111.28 1/8=0.125 0.125*890.20=111.275 money can only have 2 decimals so round up and $111.28 is your answer.
Answer:
Reflection over y-axis
Step-by-step explanation:
We know that with a reflection of the x-axis, we flip the value of the y value
But since the y-values in Q3 and Q4 are both negative, we know that can't be the case
So it has to be a reflection over the y-axis where the x-values are flipped
Hope this helps
Solution:
As given Square L M NO is dilated by a scale factor of two about the center of the square to create square L'M'N'O'.
Original line of Dilation = Along P Q
New Dilated line = P'Q'
As scale factor > 1
1. Image Size > Pre image size
2. The two images will be similar.
3. Length of Dilated Line P' Q' = 2 × Length of PQ
As you can see from the diagram drawn below, Dilated line P'Q' will contain the point P and Q.
All four points P,Q,Q',P' are collinear , lie in the same line.
Option (2) dilated line P'Q' will contain the points P and Q is true.
