Answer:
the new point would be (1, 10).
Step-by-step explanation:
if you start with the point (6, 7) and go left 5 units and up 3 units, then the new point you land on is (1, 10) as you can see in the picture below. hope this helped!
<h3>
Answer: 5/12 (choice C)</h3>
Explanation:
Recall that tangent = opposite/adjacent.
For reference angle M, the side ON = 5 is the opposite side and MN = 12 is the adjacent side. We don't need the hypotenuse.
Greater than because 5 feet equal 60 inches
Step-by-step explanation:
that is
sum(2^r) for r=1 to n, plus sum(1/2) for r=1 to n.
and that is
sum(2^r) + n/2 for r=1 to n.
2^r is a geometric sequence with 2 being the common ratio (every new term is created by multiplying the previous term by 2).
and since r is starting at 1, the first term a1 = 2.
the formula for the sum of a finite geometric sequence is
Sn = a1×(1 - r^n) / (1 - r)
with r being the common ratio .
so, in our case
Sn = 2×(1 - 2^n) / (1 - 2)
Sn = (2 - 2^(n+1)) / -1 = 2^(n+1) - 2
and so, in total we get
2^(n+1) - 2 + n/2 = 2^(n+1) + (n - 4)/2
Answer:
Read below for each answer! (^-^)
Step-by-step explanation:
1: You got the first one right. The explanation does explain why but think about 0 as the surface of the water to better understand.
2: -3; it is between 2 and 4 with only one line through it meaning that it is -3.
3: 7. That's the greatest number both can divide into it.
4: The last one. Any positive number is greater than a negative one and peanut butter's freezing point is positive while the other one's is not.
5: You got it right again! -(-1) has two negatives. Two negatives (mostly) make a positive. So positive 1! Now describe that on a number line.
Hope this helps!
