Answer:
<u>9.66 x 10⁴ minutes</u>
Step-by-step explanation:
To convert seconds into minutes, simply divide by 60.
=> 5.8 x 10⁶ / 60
=> 580 x 10⁴ / 60
=> 29 x 10⁴ / 3
=> <u>9.66 x 10⁴ minutes</u>
Complete Question:
If the point (2, 5) is a solution to the system of equations shown below, then determine the missing values of b and m. Show how you arrive at your answer.
1. y = 3x + b
2. y = mx + 9
Answer:
1. Intercept, b = -1
2. Slope, m = -2
Step-by-step explanation:
Given the following data;
Points on the line (x, y) = (2, 5)
To find the missing values;
Mathematically, the equation of a straight line is given by the formula;
y = mx + b
Where;
- m is the slope.
- x and y are the points
- b is the intercept.
1. y = 3x + b
Substituting the value of x and y, we have;
5 = 3(2) + b
5 = 6 + b
b = 5 - 6
<em>Intercept, b = -1</em>
2. y = mx + 9
Substituting the value of x and y, we have;
5 = m(2) + 9
5 = 2m + 9
2m = 5 - 9
2m = -4
m = -4/2
<em>Slope, m = -2</em>
value of x =-4 and value of y=-3
(-4,-3) is the solution of system of equations.
Step-by-step explanation:
We need to solve the system of equations
Rearranging:
Multiply eq(2) with 3 and subtract eq(2) from eq(1)
Putting value of x = -4 into eq(1)
So, value of x =-4 and value of y=-3
(-4,-3) is the solution of system of equations.
Keywords: system of equations.
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