By the Pythagorean theorem,
.. x^2 +(x -46)^2 = (x +4)^2
.. 2x^2 -92x +2116 = x^2 +8x +16
.. x^2 -100x +2100 = 0
.. (x -50)^2 -400 = 0
.. x = 50 ±20 . . . . . only x=70 makes any sense in the problem
The height, x, of the tree is 70 meters.
Answer:
Then the solution is (4, 6).
Step-by-step explanation:
Let's use the substitution method:
First multiply the second equation by 4, obtaining 4y = -2x + 32.
Now substitute (-2x + 32) for 4y in the first equation:
3x + (-2x + 32) = 36, or
3x - 2x + 32 = 36. or
x = 4.
If x = 4, then the second equation yields y = (-1/2)(4) + 8, or
y = -2 + 8, or y = 6
Then the solution is (4, 6).
Check, using the first equation:
Does 3(4) + 4(6) = 36? Does 12 + 24 = 36? YES
Answer:
the slope is -2
Step-by-step explanation:
(1,0) (0,2)
<u>
</u>
<u>[tex] \frac{2 - 0}{0 - 1} = - \frac{2}{ 1} = </u><u>-</u><u>2</u><u>/tex]</u>
Answer:
addition of 254 to both side
The median is the number in the middle when all of the numbers are placed in order (from lowest to highest).
15; 17; 19; 42; 78; 85; 93
The answer in this case would be 42.
