ANSWER
The coordinates of the image are (2,2)
EXPLANATION
The mapping for a reflection across the line y=k is :

We want to find the image of the point (2,-4) after a reflection in the line y=-1.
In this case k=-1.

This simplifies to,


Hence the image is (2,2)
Answer:
- 0.5
Step-by-step explanation:
you first change the fractions numbers in to decimal form
so; 2/5 = 0.4
-7/8 = - 0.875
hence; 0.4 + (-0.875)
= - 0.475
in to its simplest form = - 0.5
the answer is - 0.5
Answer:
Part (a)
36
Part (b)
Find the filled table in the attachment
Part (c)
1/36
Step-by-step explanation:
The total number of possible outcomes using the multiplicative rule is given by;
6*6 = 36.
There are 6 possible outcomes in rolling each die, we simply find the product.
The probability of rolling double sixes is given by;
pr(6 and 6) = pr(6) * pr(6) = 1/6 * 1/6 = 1/36
The probability of rolling double sixes represents independent events and thus we employ the multiplicative rule of probability.
1 pint = 2 cups
2 pints = 4 cups
3 pints = 6 cups
4 pints = 8 cups
5 pints = 10 cups
6 pints = 12 cups
7 pints = 14 cups
8 pints = 16 cups
9 pints = 18 cups
10 pints = 20 cups
11 pints = 22 cups
12 pints = 24 cups
13 pints = 26 cups
14 pints = 28 cups
15 pints = 30 cups
Step-by-step explanation:
We observe the line graph.
For every 1 block across, the line goes up by 2 blocks. Therefore Slope = Rise/Run = (2)/(1) = 2.
Also, the y-intercept when x = 0 is 2.
Slope-intercept form: y = mx + c
Hence we have y = 2x + 2. (C)