x^2 = the first integer
(x - 1)^2 = the second integer.
x^2 - (x - 1)^2 = ?
First, let's plug a number into our equation for x.
(2)^2 - (2 - 1)^2 = ?
4 - (1)^2 = ?
4 - 1 = 3
As we can see the difference is odd but it's also the sum of the two consecutive integers.
2 + 1 = 3.
This works for all numbers. Let's plug another number into our equation for x.
(4)^2 - (4 - 1)^2 = ?
16 - (3)^2 = ?
16 - 9 = 7
4 + 3 = 7
Try any number and it will always be odd.
Answer:
5
Step-by-step explanation:
Answer:
85t
Step-by-step explanation:
1. Volume of a cone: 1. V = (1/3)πr2h 2. Slant height of a cone: 1. s = √(r2 + h2) 3. Lateral surface area of a cone: 1. L = πrs = πr√(r2 + h2) 4. Base surface area of a cone (a circle): 1. B = πr2 5. Total surface area of a cone: 1. A = L + B = πrs + πr2 = πr(s + r) = πr(r + √(r2 + h2))
hope this helps
Answer:
A. $3.59
Step-by-step explanation:
Okay so wrapping paper 4.99 she got three. So we would take 4.99 and subtract 80%. We would get 0.998. We multiply this by three because that's how many she got. After multiplying it's 2.994, rounded just 2.99. She payed 2.99 for wrapping paper. Now with the candy canes, we take 2.99 and subtract 80%. 0.59. Added we get 3.58, and we can go ahead and round that up to $3.59. Before tax she payed $3.59.
Answer:
18° and 72°
Step-by-step explanation:
Complimentary angles form 90°
We have an angle (x) 4 times larger than the other (y).
Well actually, a system of equations isn't required, so forget about x and y, just divide 90 by 5. This gives you 18, one of the angle's measurements is 18°. Multiply 18 by 4 and get 72. The other angle's measurement is 72°.
R=fixed rate
m=rate of miles
n= miless
T(n)=total amount per miles(n)
T (n) =mn+r