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: 650 Ft above the trough of the valley. Explanation 450 - (-200) = 650
Translate that into an equation, and we get:
a+b = 24
a-b = 15
If we add these two equations, we get:
2a = 39
a = 39/2 = 19.5
Plug back in a = 19.5 and solve for b
a + b = 24
19.5 + b = 24
b = 4.5
The two numbers are 19.5 and 4.5.
Divisibility by 2: the last digit must be even. The last digit of 15114 is 4, which is even, so 15114 is divisible by 2.
Divisibility by 3: the sum of the digits must be divisible by 3. The sum of the digits of 15114 is 12, which is divisible by 3, so 15114 is divisible by 3.
Divisibility by 5: the last digit must be 0 or 5. The last digit of 15114 is 4, so 15114 is not divisible by 5
Divisibility by 9: the sum of the digits must be divisible by 9. The sum of the digits of 15114 is 12, which is not divisible by 9, so 15114 is not divisible by 9.
Answer:
30 in 300 is more
Step-by-step explanation:
