If you divide 5 by 6 to turn it into a decimal, you get 0.83. All you have to do is find a numerator that you can divide by 8 to get a decimal less than 0.83.
So, 1/8, 2/8, 3/8, 4/8, 5/8, or 6/8 would work.
The slope of the line passes through the points (-5,6) and (-3,2) is 2.
<h3>What is a slope?</h3>
Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line. The slope is also defined as the ratio of the rise to the run.
Given that the line that passes through the points (-5,6) and (-3,2).
The slope of the line is calculated by the formula,
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope = ( 6 - 2) / ( -3 + 5)
Slope = 4 / 2
Slope = 2
Therefore, the slope of the line passes through the points (-5,6) and (-3,2) is 2.
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Answer:
The 
, 
and 
.
Step-by-step explanation:
The given function is
.... (1)
The general form of sine function is
....(2)
where, |A| is the amplitude, B is period, D is the vertical shift (up or down), and C/B is used to find the phase shift.
On comparing (1) and (2), we get
So,
Therefore , and .
Answer:
The point of intersection with the x axis are (-2,0) and (8,0)
Step-by-step explanation:
given circle equation x²+y² = 25
x² + y² = r²
r is the radius.
✓(25) = 5
given the center is at (3,0) and radius of 5
(3+5,0) and (3-5,0)
(8,0) and (-2,0)
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Answer:
Step-by-step explanation:
The given differential equation is 
The characteristics equation is given by
Finding the values of r
We got a repeated roots. Hence, the solution of the differential equation is given by
On differentiating, we get
Apply the initial condition y (0)= 3 in equation (i)
Now, apply the initial condition y' (0)= 13 in equation (ii)
Therefore, the solution of the differential equation is
