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ki77a [65]
2 years ago
11

Prove algebraically that n^2-2-(n-2)^2 is always even

Mathematics
2 answers:
Juliette [100K]2 years ago
6 0

Answer:

It is even because it is equal to 2(2n-3) so you can divide it by two and get (2n-3)

Step-by-step explanation:

{n}^{2}  - 2 - ( {n}^{2}  + 4 - 4n) =  \\  {n}^{2}  - 2 - {n}^{2}   - 4  +  4n = \\ 4n - 6 = 2(2n - 3)

tresset_1 [31]2 years ago
3 0

Step-by-step explanation:

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True or false: Most proofs in geometry are called direct proofs because theorems and postulates are used to prove a statement us
vivado [14]

Answer:

The statement is true

Step-by-step explanation:

Most proofs are direct proofs becaue theorums & postulates prove them true straightforwardly :)

5 0
2 years ago
In the diagram AB is parallel to CD. Calculate the value of A ?
olga55 [171]

The image of the diagram is missing, so i have attached it.

Answer:

a = 30°

Step-by-step explanation:

From the diagram attached, we can see that the 2 angles a and 5a are interior supplementary angles.

The sum of interior supplementary angles is 180°

Thus;

5a + a = 180

6a = 180

a = 180/6

a = 30°

4 0
3 years ago
The area of a trapezoid is 216 in2 and it two bases are 14 and 22 inches long. Find the height of the trapezoid.
artcher [175]

Answer:

12 inches

Step-by-step explanation:

The formula for a trapezoid is

A = 1/2(a +b)h

The formula to find the height =

h = 2A/a + b

A= 216 in²

a =14 in

b = 22 in

Hence,

h = 2 × 216/14 + 22

h = 12 inches

The height of the trapezoid = 12 inches

6 0
3 years ago
The first house lot was 250 feet by 300 feet and the second house lot was 350 feet by 400 feet. The cost per square foot to purc
nikdorinn [45]
The first lot is (250 x 300) x 5  = 375,000
The second lot is (350 x 400) x 5 = 700,000
375,000 + 700,000 = $1,075,000
4 0
2 years ago
Jill's mother limited her xbox 1 playing to 10 hours per week. she played on only four days, a different amount of time each day
Brrunno [24]
You have to find out how much time she played on Saturday, Wednesday, Friday, and Sunday. Let's look at the facts.
Sunday: No info is given.
Friday: She played the least of all four days
Saturday: Twice as much as Wednesday
Wednesday: No info is given.

We can write a problem and solve from this information. Let's use the variable W for Wednesday. Saturday is 2W. So whatever number Wednesday has, multiply it by 2. All of the total numbers should equal 10.

Since Friday was played the least amount, we know that every other day has to be at least 2 hours or above, so that Friday can be 1 hour. Sunday we have no info given.

This is a bit of guess and see for this problem. Let's say that Friday was 1 hour, Wednesday was 2, Sunday was 3, and Saturday was 4. Total that equals 10. Let's check to varify that these numbers are correct.

Friday was the least amount of hours of any day, which is why it is 1.
Wednesday had 2 hours, and Saturday had twice that many, which is 4.
Sunday has 3 hours.

In short, your answer would be: Friday 1 hour, Wednesday 2 hours, Sunday 3 hours, and Saturday 4 hours. I hope I explained it wel
6 0
3 years ago
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