Answer: The equation is t(n) = 64(0.5)^n.
This is an example of an exponential equation because we are repeatedly multiplying the value by 1/2.
Exponential equation take the form of y = ab^x, where a is the starting amount and b is the rate.
In our case, we are starting with 64 and reducing half (0.5) of the teams each week.
This makes our equation: y = 64(0.5)^x
Answer: A square rotated about its center by 360º maps onto itself at D) 4 different angles of rotation. You can reflect a square onto itself across B) 4 different lines of reflection.
Step-by-step explanation:
A square is a geometric figure which has all its four sides equal and all its interior angles are right angles(
) .
Therefore, it can be rotated about its center by
.
It maps onto itself at 4 different angles of rotation ( at every
).
We can reflect a square onto itself across 4 different lines of reflection (2 across the non-parallel sides and 2 across the vertices of the square).
Answer:
Evan will have to walk 7 blocks
Step-by-step explanation:
Evan will have to walk 7 blocks because he gets $5 from picking up the dog, so subtract 5 from 26 to get 21. Next, you want to divide 21 by 3 to get 7 because $3 a block and you need to find how many blocks he needs to do.
Following transformations on Triangle ABC will result in the Triangle A'B'C'
a) Reflection the triangle across x-axis
b) Shift towards Right by 2 units
c) Shift upwards by 6 units
In Triangle ABC, the coordinates of the vertices are:
A (1,9)
B (3, 12)
C (4, 4)
In Triangle A'B'C, the coordinates of the vertices are:
A' (3, -3)
B' (5, -6)
C' (6, 2)
First consider point A of Triangle ABC.
Coordinate of A are (1, 9). If we reflect it across x-axis the coordinate of new point will be (1, -9). Moving it 2 units to right will result in the point (3, -9). Moving it 6 units up will result in the point (3,-3) which are the coordinates of point A'.
Coordinates of B are (3,12). Reflecting it across x-axis, we get the new point (3, -12). Moving 2 units towards right, the point is translated to (5, -12). Moving 6 units up we get the point (5, -6), which are the coordinate of B'.
The same way C is translated to C'.
Thus the set of transformations applied on ABC to get A'B'C' are:
a) Reflection the triangle across x-axis
b) Shift towards Right by 2 units
c) Shift upwards by 6 units