Step-by-step explanation:
<u>Formula:</u>

r represents the radius.
The radius is 1/2 of the diameter.
Since 1/2 of 16 is 8, 8 is our radius.
<u>Substitute:</u>

<u>Solve:</u>


Answer:
d) one solution; (4, 1)
Step-by-step explanation:
It often works well to follow problem directions. A graph is attached, showing the one solution to be (4, 1).
_____
You know there will be one solution because the lines have different slopes. Each is in the form ...
y = mx + b
where m is the slope and b is the y-intercept.
The first line has slope -1 and y-intercept +5; the second line has slope 1 and y-intercept -3. The slope is the number of units of "rise" for each unit of "run", so it can be convenient to graph these by starting at the y-intercept and plotting points with those rise and run from the point you know.
Answer:
x = 2.25 or any number greater
Step-by-step explanation:
5x3 > 4 + 8 + x
Make them equal to each other to get x
5x3 = 4 + 8 + x
(5x)(3) = 12 + x
- x - 3 - 3 - x
4x = 9

x = 2.25
Once you get x plug it in to get the truth of the expression
Answer:
3. rolling a sum of 20 with two standard dice
Step-by-step explanation:
If something has a probability of 0 then there is no chance of it happening
A standard die goes up to 6. The max sum you can get by rolling two dice would be 12 as 6 + 6 = 12. So you have no chance of rolling a sum of 20 with two standard dice therefore the probability would be 0.
3/4 (x-12)=12
3/4x - 9= 12
+9 +9
3/4x=21
*3/4 *3/4
x= 15 3/4
and
3/4y-12=12
+12 +12
3/4y = 24
*3/4 *3/4
y= 18