Instruction
1 answer:
<h3>Answer: Choice C. (-x, -y)</h3>
Explanation:
Focus on one point, such as A = (1,2). Note how it moves to point A ' = (-1, -2). Both x and y coordinates have been flipped from positive to negative. The rule therefore is . This describes a 180 degree rotation (either clockwise or counterclockwise, it doesn't matter). Points B and C follow the same idea.
Side note: Lines AA', BB' and CC' all go through the origin (0,0).
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Answer:
523.33 mm³
Step-by-step explanation:
The general formula for the volume of a sphere is:
V =
The radius for the given sphere is 5mm, so plugging that value into the equation and using 3.14 for π:
V =
V ≈ 523.33 mm³
Answer: $85,000
Step-by-step explanation:
Given : In a given population of two-earner male-female couples, male earnings have a mean of $40,000 per year and a standard deviation of $12,000.
Female earnings have a mean of $45,000 per year and a standard deviation of $18,000.
If C denote the combined earnings for a randomly selected couple.
Then, the mean of C will be :-
Hence, the mean of C = $85,000
9514 1404 393
Answer:
A. 3×3
B. [0, 1, 5]
C. (rows, columns) = (# equations, # variables) for matrix A; vector x remains unchanged; vector b has a row for each equation.
Step-by-step explanation:
A. The matrix A has a row for each equation and a column for each variable. The entries in each column of a given row are the coefficients of the corresponding variable in the equation the row represents. If the variable is missing, its coefficient is zero.
This system of equations has 3 equations in 3 variables, so matrix A has dimensions ...
A dimensions = (rows, columns) = (# equations, # variables) = (3, 3)
Matrix A is 3×3.
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B. The second row of A represents the second equation:
The coefficients of the variables are 0, 1, 5. These are the entries in row 2 of matrix A.
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C. As stated in part A, the size of matrix A will match the number of equations and variables in the system. If the number of variables remains the same, the number of rows of A (and b) will reflect the number of equations. (The number of columns of A (and rows of x) will reflect the number of variables.)