Answer:
The equation of the horizontal line passing through (4, 9) will be:

Please also check the attached line graph.
Step-by-step explanation:
We know that the equation of a horizontal line is always the kind of equation such as:

- As in the pint (4, 9), ordinate is 9.
- In other words, y=9
Thus, the equation of the horizontal line passing through (4, 9) will be:

Please also check the attached line graph.
The midpoint of these two points is (-1, 8).
In order to find the midpoint, you must take the average of each part of the coordinates. You do this by adding them together and dividing by 2. We'll start with the x-coordinates.
(-1 + -1)/2 = -1
Now we'll use the y-coordinates.
(10 + 6)/2 = 8
This gives us the ordered pair of (-1, 8)
Answer:
yes
Step-by-step explanation:
because the longest side of a triangle must equal less than the sum of the other two, 3+7=10 which is greater than 8 means it is a triangle.
Answer: x=9
Step-by-step explanation:
3x+8=35
Subtract 35-8=27
3x=27
27/3=9
x=9
Answer:
The gambler's expected value if he makes the bet is $45.
Step-by-step explanation:
Expected value:
15% probability of a profit of $2000.
100 - 15 = 85% probability of having to pay $300, that is, a loss of $300.
The expected value is each outcome multiplied by it's probability, so:

The gambler's expected value if he makes the bet is $45.