The required point-slope form of the equation of the line is y - 5 = -4(x + 1).
Given that, To determine an equation in point-slope form for the line that passes through the point with the given slope. point: (-1, 5) and m=-4.
What is the slope of the line?
The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
Here,
The point-slope of the equation of the line is given by,
y - y₁ = m(x - x₁)
Put the values in the above equation of the line
y - 5 = -4 (x - (-1))
y - 5 = -4 (x + 1)
Thus, the required point-slope form of the equation of the line is y - 5 = -4(x + 1).
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Step-by-step explanation:
- 0.06
- 60%
- 2/3
- 3/4
hope it's right :)
Answer:
The difference between the temperatures in the two countries is 38.3°C.
Step-by-step explanation:
Given:
Temperature in Greenland = - 8.3°C
Temperature in Jamaica = 30°C
To find :
The difference between the temperature in the two countries = ?
Therefore,the difference between the temperatures in the two countries is 38.3°C
Answer:
Angle 1 = 46°
Angle 2 = 44°
Step-by-step explanation:
Given:
Angle 1 = (4x - 2)°
Angle 2 = (3x + 8)°
Angle 3 = 90°
Find:
All acute angle
Computation:
Using angle sum property
Angle 1 + Angle 1 + Angle 1 = 180°
(4x - 2)° + (3x + 8)° + 90° = 180°
7x + 6 = 90
7x = 84
x = 12°
So,
Angle 1 = (4x - 2)° = 4(12) - 2 = 46°
Angle 2 = (3x + 8)° = 3(12) + 8 = 44°
Answer:
732.21 m
Step-by-step explanation:
Given the time taken by cadet to cross an obstacle and swing back to where he started = 5.5 seconds
The formula for a complete oscillation(to and fro) period is
<h2>T = 2π * √(L/g)</h2>
where:
<em>T is the period of oscillations</em><em> - time that it takes for the pendulum to complete one full back-and-forth movement.</em>
<em />
<em>L is the length of the pendulum </em>
<em />
<em>g is the acceleration of gravity, which</em><em> is equal to 9.81 m/s^2 </em>
5.5 = 2 π √(L / 9.81)
5.5/2π = √(L / 9.81)
8.64 = √L / 9.81
8.64 ² = L / 9.81
74.64 = L / 9.81
L = 74.64 * 9.81
L = 732.21 m
