a.
a^2 + b^2 = c^2
The legs are a and b. c is the hypotenuse.
Let a = 6x + 9y; b = 8x + 12y; c = 10x + 15y
The equation is:
(6x + 9y)^2 + (8x + 12y)^2 = (10x + 15y)^2
b.
Now we square each binomial and combine like terms on each side.
36x^2 + 108xy + 81y^2 + 64x^2 + 192 xy + 144y = 100x^2 + 300xy + 225y^2
36x^2 + 64x^2 + 108xy + 192xy + 81y^2 + 144y^2 = 100x^2 + 300xy + 225y^2
100x^2 + 300xy + 225y^2 = 100x^2 + 300xy + 225y^2
The two sides are equal, so it is an identity.
Answer:
There are 3 green marbles in the box.
Step-by-step explanation:
15% = 0.15
To figure out how much 15% of 21 is, you must multipl the decimal form of the percentage by the whole number. This will give you how much of that number that percentage is.
0.15 * 21 = 3.15
But you can't have 0.15 of a marble, so you must round as well.
3 green marbles in the box.
The Median should be your best answer.
Usually, using the mean would be best, however, note that one of the numbers is larger than all the others ($1,110,000), and so will throw the median off. This means that median would be your best choice.
hope this helps
Answer:
<h2><em><u>x</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>14</u></em></h2>
Step-by-step explanation:
7x + 9 = 9x - 19. <em>[</em><em>Corresponding</em><em> </em><em>Angles</em><em>]</em>
=> 9x - 19 = 7x + 9
=> 9x - 7x = 19 + 9
=> 2x = 28
=> <em><u>x</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>14</u></em><em><u> </u></em><em><u>(</u></em><em><u>Ans</u></em><em><u>)</u></em>
Answer:
length: 31
width: 12
Step-by-step explanation:
l=8+2w
p=2l+2w=88
(8+2w)+(8+2w)+w+w
16+6w=88
6w=72
w=12
l=8+2(12)
l=32
sorry if this was confusing
