Answer:
y = -2x -5
Step-by-step explanation:
The line crosses the y-axis at -5. So, b = -5.
It goes down 2 units for each 1 unit to the right, so has a slope of ...
m = rise/run = -2/1 = -2
__
The slope-intercept form of the equation of a line is ...
y = mx +b where m is the slope and b is the y-intercept
For the slope and y-intercept shown, the equation is ...
y = -2x -5
Answer:
12.56 units
Step-by-step explanation:
C=pid
C = 3.14(4)
C = 12.56
<span><span><span>2<span>(2^2)</span></span>(3)</span><span>(2^2)
</span></span><span><span><span>2<span>(2^2)</span></span>(3)</span><span>(2^2)
</span></span><span>=96</span>
Answer: The loser's card shows 6.
Explanation: Let's start by naming the first student A and the second student B.
Since the product of A and B are either 12, 15, or 18, let's list every single possibility, the first number being A's number and the second number being B's number.
1 12
1 15
1 18
2 6
2 9
3 4
3 5
3 6
4 3
5 3
6 2
6 3
9 2
12 1
15 1
18 1
Now, the information says that A doesn't know what B has, so we can immediately cross off all of the combinations that have the integer appearing once and once ONLY off, because if it happened once only, A would know of it straight away. Now, our sample space becomes much smaller.
1 12
1 15
1 18
2 6
2 9
3 4
3 5
3 6
6 2
6 3
Using this same logic, we know that we can cross off all of the digits that occur only once in B's column.
2 6
3 6
Now, A definitely knows what number B has because there is only one number left in B. Hence, we can conclude that the loser, B, has the integer 6.
Acc. to midpoint theorem,
15={(2x+9) + (4x-15)}/2
⇒ 30=2x+9+4x-15
⇒ 30-9+15=6x
⇒ 36/6=x
⇒6=x
WZ= 4x-15
=4*6-15
=24-15=9
