Answer:
curved ramp
or quadrant circle map
Step-by-step explanation:
Adding to the solutions and points gotten, we can further say that: Opposite angles of the parallelogram are congruent, by the theorem of Side Angle side (SAS) (i.e angle AEB = CED )
<h3>Meaning of Congruence</h3>
Congruence can be defined as a term used to depict a state of two object being equal, in harmony, and in agreement.
The congruence of a shaped is verified by some laws which they both must satisfy.
In conclusion, the triangle is congruent with the fact stated in the question and the additional fact added above.
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Answer:
x = 11
Step-by-step explanation:
2x + 34 = 56
2x = 56 - 34
2x = 22
x = 22/2
x = 11
The rate of change of the plane's altitude is 2250 feet per minute.
<h3>How to calculate the rate?</h3>
The rate of change of the plane's altitude will be:
= (35000 - 17000)/8
= 18000/8
= 2250 feet per minute.
When graphing the descent of the plane, the starting value for its altitude be 35000 feet.
The linear function will be:
y = mx + b
35000 = 2250x + b
35000 = 2250(0) + b
b = 35000
y = -2250x + 35000
The information given in this problem that did not need to write an equation for the descent is the initial details about how long that the plane travelled.
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The function increases in the interval (-∞, -3) and the function also increases in the interval (-1,∞) .
The given function is of the form
f(x) = x³ + 6x² + 8x
Now we take the first differentiation of the function
f'(x) = 2x² + 12x + 8
f'(x) = 2 (x² + 6x + 9) -10
f'(x) = 2(x+3)² - 10
Therefore at x = -3 , f'(x) = -10.
Hence the function is increasing in the interval of (-∞, -3)
Again f'(x) = 2x² + 12x + 8 , so after first differentiation we get :
That the function is also increasing in the interval (-1,∞)
Now for the interval (-4,-2), we can say that the graph of the function is positive as the y value increases and then decreases but all y values are positive as illustrated in the graph.
In the interval (0,∞) the function is strictly increasing and has positive values only.
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