Answer:
Graph (1)
Step-by-step explanation:
Given rule for the rotation of a figure is,
A(x, y) → A'(-y, x)
This rule defines the rotation of point A by 90° counterclockwise about the origin.
Coordinates of point A → (-2, 0)
Coordinates of point C → (-1, 0)
Following the rule of rotation,
A(x, y) → A'(-y, x)
A(-2, 0) → A'(0, -2)
C(-1, 4) → C'(-4, -1)
Now search the image points from the graphs attached,
Graph (1) will be the answer.
Answer:
7 employees
Step-by-step explanation:
Given that 10% are temporary .
So number of temporary employees will be 10% of 70 employees = 7employees ( Answer)
a. There are four 5s that can be drawn, and
ways of drawing any three of them. There are
ways of drawing any three cards from the deck. So the probability of drawing three 5s is

In case you're asked about the probability of drawing a 3 or a 5 (and NOT three 5s), then there are 8 possible cards (four each of 3 and 5) that interest you, with a probability of
of getting drawn.
b. Similar to the second case considered in part (a), there are now 12 cards of interest with a probability
of being drawn.
c. There are four 6s in the deck, and thirteen diamonds, one of which is a 6. That makes 4 + 13 - 1 = 16 cards of interest (subtract 1 because the 6 of diamonds is being double counted by the 4 and 13), hence a probability of
.
- - -
Note:
is the binomial coefficient,

To find the area of a square picture with 16 inch sides, we must use the formula for the area of a square: A=s^2, where s represents the value of the side length of the square.
To solve, we must plug in the given side length of 16 inches into the formula.
A = (16 inches)^2
A= 256 inches^2
Therefore, your answer is 256 inches^2.
Hope this helps!
9514 1404 393
Answer:
f(x) = -4x^2 +48x -129
Step-by-step explanation:
It usually works well to compute the square first. That is, simplify according to the order of operations.
f(x) = -4(x^2 -12x +36) +15
f(x) = -4x^2 +48x -144 +15
f(x) = -4x^2 +48x -129