Answer:
Simplify the expressions inside parentheses ( ), brackets [ ], braces { } and fractions bars.
Evaluate all powers.
Do all multiplications and divisions from left to right.
Do all additions and subtractions from left to right.
Answer:
A. Reflection
B. Rotation and Translation
C. Translation
Step-by-step explanation:
We are given the figures transformed to different figures.
According to the options,
A. We see that,
Triangle ABC is reflected about the line y=x to obtain the triangle A'B'C'.
B. In the second figure, we get,
Triangle RST is rotated clock-wise around the point T and then translated 2 units to the right to obtain R'S'T'.
C. We have,
Triangle EFD is translated 3 units downwards followed by translation of 2 units to the right to get E'F'D'.
Answer:
15 miles
Step-by-step explanation:
12 * 440 = 5280 (yards every day)
5280 * 5 = 26400 (yards per week)
26400 *0.000568182 = 15 miles
Answer:
27, 26
Step-by-step explanation:
27^2 -26^2 = 729 -676 = 53
If the numbers are integers, they must differ by an odd number. For some odd number k, we will have ...
(x +k)^2 -x^2 = 53
2xk +k^2 = 53
x = (53 -k^2)/(2k)
x = 53/(2k) -k/2
The second term is an odd multiple of 1/2. The first term will be an odd multiple of 1/2 only for k=1. For k = 1, we have ...
x = (53 -1)/2 = 26
The two numbers are 26 and 27.
