Answer:
h(d) = (17/3249)(-d² +114d)
Step-by-step explanation:
For this purpose, it is convenient to translate and scale a quadratic parent function so it has the desired characteristics. We can start with the function ...
f(x) = 1 -x² . . . . . . . has zeros at x = ±1 and a vertex at (0, 1)
We want to horizontally expand this function by a factor of 57, so we can replace x by x/57. We want to vertically scale it by a factor of 17, so the vertex is at (0, 17). Finally, we want to translate the function 57 m to the right, which requires replacing x with x-57. After these transformations, we have ...
f(x) = 17(1 -((x-57)/57)²) = (17/3249)(-x²+114x)
Using the appropriate function name and variable, we have ...
h(d) = (17/3249)(-d² +114d)
Answer:
y=3/4x-9
Step-by-step explanation:
isolate the y
4y=3x-36
divide by 4 to get y by itself
y=3/4x-9
put this equation into a graphing calculator if you do not know how to graph on your own without it. good luck
A rigid motion is any motion that doesn't deform the original shape - it's a motion that preserves the lengths and angles of a shape without stretching, squishing, or bending anything. The best way to think about rigid motions is to imagine holding something solid in your hand, like a smartphone. How can you move it around? You can <em>rotate</em> it around in your hand, changing its orientation; you can move your hand around through space, changing the smartphone's position. While it may not seem like a motion, you can also hold it up to a mirror, <em>reflecting </em>it in some way. These three transformations, rotation, translation (shifting position), and reflection, are the three primary rigid motions.
True
4x^2 -16x +16 = (2x -4)^2
A = 2x
B = 4
Answer:
Option B.
Step-by-step explanation:
It is given that the sides of an equilateral triangle are 8 units long.
Draw an altitude of the triangle.
Altitude of an equilateral triangle is perpendicular bisector.
Let x be the length of the altitude of the triangle.
According to the Pythagoras theorem
Using Pythagoras theorem we get
Taking square root on both sides.
The length of the altitude of the triangle is 4√3 units.
Therefore, the correct option is B.
