Answer:
Step-by-step explanation:
Use Pythagorean theorem
Base² + altitude² = hypotenuse²
Base² + 7² = 20²
Base² + 49 = 400
Base² = 400 - 49 = 351
Base = √351 = 18.73 = 18.7 mm
Answer:
6 ft
Step-by-step explanation:
Since the shape of the cables on the bridge are to open up, the standard equation of the parabola produced is given as:
(x - h)² = 4p(y - k)
Where (h, k) is the vertex and focus is at (h, k+p)
From the question, the point (0, 2) is the vertex and point (50, 27) lie on the parabola. Hence:
(x - 0)² = 4p(y - 2)
x² = 4p(y - 2).
Sinc the tower is 100 ft apart and 27 ft height, hence the point 100/2 = 50 ft and 27 ft lie on the parabola
To find p, use (50, 27)
50² = 4p(27 - 2)
2500 = 4p(25)
100p = 2500
p = 25
hence:
x² = 4(25)(y - 2)
x² = 100(y - 2)
At a point of 20 feet (i.e x = 20), y is the height of the cable, hence:
20²=100(y-2)
400 = 100y - 200
100y = 600
y = 6
The height is 6 ft at a point of 20 ft
Hey there! :)
-(3x)² + 3 = -6
Simplify.
-(9x²) + 3 = -6
Simplify.
-9x² + 3 = -6
Subtract 3 from both sides.
-9x² = -6 - 3
Simplify.
-9x² = -9
Divide -9 from both sides.
-9x² ÷ -9 = -9 ÷ -9
Simplify.
x² = 1
So, x = 1 OR x = -1
~Hope I helped!~
Please can someone explai for me what this signal <span>^ in </span> [1/2]^2
<h3>
♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>
➷ M = k x r^2
Substitute in the values:
14 = k x 2^2
Divide both sides by 2^2 to find k:
k = 3.5
Substitute the new values in:
224 = 3.5 x r^2
Divide both sides by 3.5 to find r^2
r^2 = 64
Square root it:
r = 8
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➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
↬ ʜᴀɴɴᴀʜ ♡
