(x + y)² and z² + 4(1/2 xy) both represent the area of the outer square and are equal.
Step-by-step explanation:
- Step 1: The below reasons explain why the expression is a true equation.
1. The expression (x + y)² finds the area of the outer square by squaring its side length.
[In the figure, side length of the outer square = x + y and area of a square = (side length)²]
2. The expression z² + 4(1/2 xy) finds the area of the outer square by adding the area of the inner square and the four triangles.
[In the figure the length of the inner square is z, the triangles have a base x and height y and area of a triangle = 1/2 base × height]
⇒ So the left hand side and right hand side of the expression is equal.
Answer:
11
Explanation:
f(x) = -3x - 1 when f(x) = -4
f(x) = -4 * -3 -1 = 12 - 1 = 11
Answer:
no - total is $57.12
Step-by-step explanation:
64.00 - 15% = 64.00 x 15% = 9.60
64.00 - 9.60 = 54.40
54.40 x 5% = 2.72
54.40 + 2.72 = 57.12
Assuming you know the mean (mu) and the standard deviation (sigma), you would use the raw score (x) to get the z score through this formula
z = (x-mu)/sigma
If you get a positive z value, then the raw score is above the mean. If z is negative, then the raw score is below the mean.
The absolute value of z tells us how far away from the mean we are in terms of standard deviation.
Eg: z = -3 leads to |z| = |-3| = 3, so we're 3 standard deviations below the mean.
Answer:
21
20.7
20.23
20.22
20.102
20.005
Step-by-step explanation:
hope this helps!
