By definition, the slope of a curve is the rate of change of the independent and dependent variables. When graphed in a Cartesian plane, the slope between any two point on the curve is equal to Δy/Δx. However, we should not that only a linear function has a constant slope. For this problem, the equation is quadratic. Hence, you must specify the point where we should get the slope.
In calculus, the slope is the first derivative of the equation:
<span>y=3x</span>²<span>-8
dy/dx = slope = 6x - 0
Thus, the slope at any point of the curve is 6x. For instance, you want to find the slope of the curve at point (1,1), then the slope is equal to 6(1) = 6 units.</span>
Answer:
157
Step-by-step explanation:
Let the number Angad was thinking be 'x'
Equation:-
1/2(x) = 78.5
x = 78.5(2)
x = 157
Answer:
1000 is the square root of a million
Step-by-step explanation:
√1,000,000
√1000×1000
√1000²
=1000
The sum of the angles in a triangle is 180. Let x be one acute angle and y be the other. We know one is 5 times larger so let’s say 5x = y. Now,
x + y + 90 = 180
x + 5x + 90 = 180
6x + 90 = 180
6x = 90
x = 15
So y = 5x = 5(15) = 75
The two angles are 15 degrees and 75 degrees
Use the cos ratio to figure this out. You have the length of the hypotenuse and the length of the leg on the ground. The hypotenuse is 20 and the leg is 10. The cos ratio says that cosA = side adjacent/hypotenuse. So fill in the blanks here: cosA = 10/20...cosA=1/2. In your calculator, you will enter inverse cos(.5) to find that the angle in question is 60 degrees. To find the inverse function on your calculator, press the "2nd" button and the "cos" then in the (), enter ".5".
