Answer:
x = 16
Step-by-step explanation:
The equation shown can be solved this way.
x^2 +(x -4)^2 = 20^2
x^2 +x^2 -8x +16 = 400
2x^2 -8x -384 = 0
x^2 -4x -192 = 0
(x -16)(x +12) = 0
The positive solution is ...
x = 16
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Since this makes use of the Pythagorean theorem, you've probably run across the 3-4-5 triangle. You often find scaled versions of it in algebra and geometry problems. Here, it is scaled by a factor of 4 to give a 12-16-20 triangle as half of the display screen.
The 3-4-5 triple is the only Pythagorean triple that is an arithmetic sequence. So, if the difference in side lengths is 4 and the diagonal is 5×4, you can be pretty certain that x = 4×4 and x-4 = 4×3.
Answer:
88 adult tickets and 77 student tickets were sold.
Step-by-step explanation:
Let the number of adult tickets sold be 8x and the number of student tickets sold be 7x.
adult tickets + student tickets = 165 tickets
8x + 7x = 165
15x = 165
x = 165 ÷ 15
= 11
No. of adult tickets sold (8x) = 11 × 8
= 88
No. of student tickets sold (7x) = 11 × 7
= 77
Answer:
-5x + 1y = -1
Step-by-step explanation:
move the 5x to the other side of the equal sign.
I think that the best visual representation that the marine biologist would use is utilising a bar graph. A bar graph is composed of bars residing in a coordinate plane. In addition to that, the visual representation would most likely be used since the average weight and length of each trout coming from 5 different locations is compared.
Answer:
Its 255+x=180 => so x=105
