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The output is the y value so we find the point on the graph with a y value of 4.

That point is (3,4).

The two sides with the same length have to be longer than 7.

[8, 8, 12]

[9, 9, 10]

[10, 10, 8]

[11, 11, 6]

[12, 12, 4]

[13, 13, 2]

The area of a parallelogram is the base times the altitude/height

So 16 x B =256

The base is 16 meters.

NUmbers that sum to 8

0 and 8

1 and 7

2 and 6

3 and 5

4 and 4

The first number should be smaller than the next so trying them we have

008 (doesn't work bc it 8 which doesn't have a middle number of 0)

107 (107*3=321-16=305) doesn't equal 701

206 (206*3=318-16=602) works

So the original number was 206.

Say the square side length is 16. The right picture would have an area of 16pi.

The area of the whole rhombus would be 64.

IF we made a square right around the star, we get a square with 4 quarter circles on each corner.

The square area would be 64 and the 4 quarter circles are just on the whole circle with a radius of 4, with an area of 16pi.

So the area of the cross would be 64-16pi.

Subtracting that from the original rhombus we get 64-(64-16pi) or 16pi.

They are the same.

Row 1 has 30 seats, row 2 has 34, and so on.

The rule is Row x has 30+4(x-1) seats.

So row 30 would have 30+4(29) or 146 seats.

The sum of Row 1 and 30 is the same as the sum of rows 2 and 29, 3 and 28, and so on.

There are 15 pairs

146+30=176

176*15=2640.

Possible numbers

87

78 

96

69

The number has to be smaller than its opposite so

78

69

87-78=9

96-69=27

So the number is 69

im an idiot... i probably should have known LNVOLUTE wasn't a word...

3 out of 4 would be 4 combinations

2 out of 4 would be 6 combinations

4*6=24

24*120=2880

Since there are 3 vowels, we don't have to choose those.

There are 5 consonants, and we have to choose 2. For now, the order doesn't matter, so 5*4/2=10 ways to choose.

So we have to order five distinct items.

There are 5 possibilities for the first letter of the word, 4 for the next, 3 for the middle, 2 for the second-to-last, and only 1 remaining for the last slot.

so 5*4*3*2*1=120. 

10 ways to choose the letters times 120 ways to order those letters =1200 possible words.

The numbers 1-31 with the exceptions of the ones in the set (0,1,2, 4, 8, and 16). 0 isn't in the first set (1-31)

31-5=26 numbers.