Answer:
<h3>Q1</h3>
The graph of y = f(x), has vertex at (1, -2)
<u>The vertex of a function f(x - 3) is going to be:</u>
<h3>Q2</h3>
- <em>The graph of y = f(x) has the line x = 5 as an axis of symmetry. The graph also passes through the point (8,-7). Find another point that must lie on the graph of y = f(x).</em>
The axis of symmetry is at the same distance from the symmetric points.
x = 5 is a vertical line. The point (8, -7) is 3 units to the right. So the mirror point will be 3 units to the left and have same y-coordinate: x = 5 - 3 = 2
The point is (2, -7)
<h3>Q3</h3>
The graph in blue is the translation of the red to the left by 2 units.
<u>So the equation is:</u>
<h3>Q4</h3>
y = h(x) is graphed
- h(7) = 5
- h(h(7)) = h(5) = -1
<h3>Q5</h3>
The graph of the function y = u(x) given
This is a odd function.
The coordinates of u(x) and u(-x) add to zero because u(-x) = -u(x)
<u>Therefore:</u>
- u(-2.72) + u(-0.81) + u(0.81) + u(2.72) =
- [u(-2.72) + u(2.72)] + [u(-0.81) + u(0.81)] =
- 0 + 0 = 0
Answer:
452.16
Step-by-step explanation:
πr^2 ... then substitute the numbers accordingly!
100x = 75.757575...
- x = 0.757575...
-----------------------------
99x = 75
x = 75/99
x = 25/33
Answer: 0.757575... = 25/33
Answer:Number of minutes of second Song = 5 1/4 minutes
Number of minutes of third Song =3 1/2 minutes
Step-by-step explanation:
Number of minutes of First Song = 3 1/2 minutes
Number of minutes of second Song = one 1/2 times as long as her first
= 1 1/2 X 3 1/2 minutes
3/2 X 7/2
21/4 = 5 1/4 minutes
Number of minutes of third Song = 2/3 times as long as her second song
2/ 3 x 5 1/4
= 2/3 x 21/4 =42/12
Dividing the numerator and denominator by 3 to reduce the fraction
42/ 12 / 3/3 = 14/4
14/4 = 3 2/4 = 3 1/2 minutes
If you cut the rectangle (the wall) diagonally, you get two congruent triangles. The measurements of the sides of one the triangles is 8, 15 and x. There is a pythagorean triples 8, 15, 17 so x has to be 17. if you dont know the triple you can do a^2 + b^2 = c^2 8^2 + 15^2 = c^2 c = 17
the diagonal of wall should be 17
