The equation of a line parallel to y = 5x + 4 that passes through (-1 , 2) is y = 5x + 7
Step-by-step explanation:
The parallel lines have:
- Same slopes
- Different y-intercepts
The form of the linear equation is y = mx + b, where m is the slope of the line and b is the y-intercept
∵ The equation of the given line is y = 5x + 4
∴ m = 5 and b = 4
∵ The two lines are parallel
∴ Their slopes are equal
∴ The slope of the parallel line = 5
- Substitute the value of the slope in the form of the equation
∴ y = 5x + b
- To find b substitute x and y in the equation by the coordinates
of any point on the line
∵ The parallel line passes through point (-1 , 2)
∴ x = -1 and y = 2
∵ 2 = 5(-1) + b
∴ 2 = -5 + b
- Add 5 to both sides
∴ 7 = b
- Substitute the value of b in the equation
∴ y = 5x + 7
The equation of a line parallel to y = 5x + 4 that passes through (-1 , 2) is y = 5x + 7
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<em>1 x 42</em>
<em>2 x 21</em>
<em>3 x 14</em>
<em>6 x 7</em>
Step-by-step explanation:
We need to find factors of 42.
Factors: <em>Two numbers when multiplied if give you the required number then those 2 numbers are factors o that number.</em>
So, Factors of 42 are:
<em>1 x 42</em>
<em>2 x 21</em>
<em>3 x 14</em>
<em>6 x 7</em>
Only these numbers when multiplied will give 42.
So, All these numbers are factors of 42
Keywords: factors of numbers
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Answer:
slope: 5
y-intercept: 3
therefore y=5x+3
Step-by-step explanation:
the slope is the value that is changing; as time passes the price increases by $5 per hour
the y-intercept is where the function crosses the y-axis (when x is 0); so when no time has passed.
The measure of the third angle in the triangle is 104 degrees
<h3>How to determine the measure of the third angles?</h3>
Let the three angles in the triangle be x, y and z.
Such that:
x = 51
y = 25
The sum of angles in a triangle is 180 degrees.
So, we have:
x + y + z = 180
Substitute known values
51 + 25 + z = 180
Evaluate the sum
76 + z = 180
Subtract 76 from both sides
z = 104
Hence, the measure of the third angle is 104 degrees
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Answer:

Step-by-step explanation:
