Answer:
Step-by-step explanation:
This is a multiplication problem.
We want to multiply 
We factor to get:
We now cancel out the common factors to get:
We now multiply the numerators and the denominators separately to get.
This simplifies to
Therefore the simplified expression is
Answer:
The picture with the widest graph in red
Step-by-step explanation:
The graph P(x) is the parent graph for all quadratic functions. It has a vertex of (0,0) and has the following points:
x f(x)
-2 4
-1 1
0 0
1 1
2 4
The image of l(x) = P(1/3x) changes the points of the function to
x f(x)
-2/3 4/9
-1/3 1/9
0 0
1/3 1/9
2/3 4/9
This makes the graph much wider. The graph with the widest red graph is the graph.
Well basically you just have to chose a number of sides for the side length of the square to be and move those many places to get another vertex of the square. For example if we have (-2,3) and we choose the side lengths to be 4 units than you could move 4 places up, down, left, or right to get the other vertices for the square
Hope that helps :)
Answer:
m<U = 38degrees
Step-by-step explanation:
From the given diagram, <B = <U since both triangles are similar, hence;
Hence;
2y+2 = 3y-16
2y - 3y = -16 - 2
-y = -18
y = 18
Get m<U
m<U = 3y-16
m<U = 3(18) -16
m<U = 54 - 16
m<U = 38degrees
Standard equation of a circle: <em>(x-h)² + (y-k)² = r²</em> where <em>(h, k)</em> is the center and <em>r </em>is the radius. In the case of our equation here, <em>(x-5)² + (y+3)² = 25</em>, we can conclude that our circle has a center at (5, -3) and a radius of 5 units.
We can use the distance formula with the center (5, -3) and our point (2, 3) to see how far away they are...if the distance between them is less than the radius of the circle, it is on the interior. If it's equal, it's on the circle. If it's greater, it's on the exterior.
Distance =
Distance =
Distance =
Distance =
Distance =
