Graph each equation 3x+5y=12
1 answer:
The graph of the equation, 3x + 5y = 12, is the graph attached in the image below.
<h3>How to Graph a Linear Equation?</h3>The slope (m) and the y-intercept (b) of a linear equation can easily be determined by writing a linear equation in slope-intercept form, y = mx + b.
The slope of the line is the rise/run, while the y-intercept tells us at what point on the y-axis the line intercepts.
Rewrite 3x + 5y = 12, in slope-intercept form:
5y = - 3x + 12
y = -3/5x + 12/5
The slope of the line of the equation is -3/5 while the y-intercept is 12/5.
Therefore, the graph of the equation, 3x + 5y = 12, is the graph attached in the image below.
Learn more about the graph of a linear equation on:
#SPJ1
You might be interested in
From the figure, let the distance of point P from point A on line segment AB be x and let the angle opposite side a be M and the angle opposite side c be N.
Using pythagoras theorem,
and
Angle θ is given by
Given that a = 4 units, b = 5 units, and c = 9 units, thus
To maximixe angle θ, the differentiation of <span>θ with respect to x must be equal to zero.
i.e.
Given that x is a point on line segment AB, this means that x is a positive number less than 5.
Thus
Therefore, The distance from A of point P, so that </span>angle θ is maximum is 0.51 to two decimal places.
Using pythagoras theorem,
and
Angle θ is given by
Given that a = 4 units, b = 5 units, and c = 9 units, thus
To maximixe angle θ, the differentiation of <span>θ with respect to x must be equal to zero.
i.e.
Given that x is a point on line segment AB, this means that x is a positive number less than 5.
Thus
Therefore, The distance from A of point P, so that </span>angle θ is maximum is 0.51 to two decimal places.
Answer:
The year is
Step-by-step explanation:
From the question we are told that
The percentage of the number of babies born out of wedlock in 1990 is k = 28%
The percentage by which the number increase per year is i = 0.6%
The percentage of of the number of babies born out of wedlock considered is a = 31%
Generally the difference in between the percentage in 1990 and the percentage considered is
=>
=>
Generally the number of year require for the percentage to be equal to 31% is mathematically represented as
=>
Generally the year which the considered percentage will be attained is
=>
=>