Answer:
True.
Step-by-step explanation:
The explicit form for an arithmetic sequence is:
where 
is the first term and 
is the common difference.
The common difference here is 2 because the y's are going up by 2 while the x's are going up by 1.
Yes, the common difference is the slope.
So we have d=2.
The first term is 9.5 because that is what happens when x=1.
x is n.
y is 
.
So the answer is true.
----
You can also verify by plugging in numbers for n and see if you get the outputs mentioned in the pairs given:
Let n=1:
Let n=2:
Let n=3:
Let n=4:
Let n=5:
Let n=6:
We have confirmed that we get all 6 of the mentioned points using the equation they gave.
Of 5 out of 12 (5/12) are sports games and 3 out of 12 (3/12) are educational, then you would add these together because you need a total for both because it would include one or the other, so both.
5/12 + 3/12= 8/12 or 2/3 are one or the other.
Translation rule (x, y)--->(x + 4, y - 10)
Object A = (5, 6)
Apply rule:
(5, 6)---->(5 + 4, 6 - 10) = (9, -4)
Image A' = (9, -4)
Option 3: (9, -4) is the answer
Answer:
40
Step-by-step explanation:
The formula for the perimeter of a rectangle is P = 2l + 2w. Since the length is 8 times the width, l = 8w. You can plug this into the equation.
<em>P = 2(8w) + 2w</em>
<em>P = 16w + 2w</em>
P = 18w
Now, plug in the given value for perimeter, and solve for w.
<em>90 = 18w</em>
<em>(90)/18 = (18w)/18</em>
5 = w
Since the width is equal to 5, you can now solve for l.
<em>l = 8w</em>
<em>l = 8(5)</em>
l = 40
The length of the diagonal is equal to 40.
