The equation of s circle is x2+y2+6x+4y+10=1. What is this equation written in standard form?
1 answer:
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Answer:
Step-by-step explanation:
The slope of a graph is also known as its gradient, which is the steepness of the graph.
If we are given two points on the line, we can find the slope by taking rise/ run, which is the ratio of the change in y-coordinate against the change in the x-coordinate. This can also be written as a formula:
☆ (x₁, y₁) is the first coordinate and (x₂, y₂) is the second coordinate
In this question, we are given the equation of the line. This equation is already in the slope-intercept form (y= mx +c) since the coefficient of y is 1 and all the other terms are on the other side of the equal sign. In the slope-intercept form, m is the slope while c is the y-intercept.
m= ⅘ since the coefficient of x is ⅘ in the given equation (when the equation is in the slope-intercept form).
Hey!
The first step to solving this problem would be to distribute the parenthesis. We do this so that we can get rid of the parenthesis.
<em>Original Equation :</em>
5 ( x - 10 ) = 30 - 15x
<em>New Equation {Changed by Distribution} :</em>
5x - 50 = 30 - 15x
The next step would be to 50 to both sides. The reason we do that is to get rid of the 50 that is on the left side of the equation.
<em>Old Equation :</em>
5x - 50 = 30 - 15x
<em>New Equation {Changed by Adding 50 to Both Sides} :</em>
5x = 80 - 15x
And now we would add 15x to both sides to get rid of the -15x on the right side of the equation.
<em>Old Equation :</em>
5x = 80 - 15x
<em>New Equation {Changed by Adding 15x to Both Sides} :</em>
20x = 80
Now we divide both sides by 20 to get x on it's own.
<em>Old Equation :</em>
20x = 80
<em>New Equation {Changed by Dividing Both Sides by 20} :</em>
= 
Finally, all we have to do is solve to find x.
<em>Old Equation :</em>
=
<em>Solution {Old Equation Solved} :</em>
x = 4
<em>So, in the equation </em><span><em>5 ( x – 10 ) = 30 – 15x</em>, x = 4.
Hope this helps!
- Lindsey Frazier ♥</span>
The first step to solving this problem would be to distribute the parenthesis. We do this so that we can get rid of the parenthesis.
<em>Original Equation :</em>
5 ( x - 10 ) = 30 - 15x
<em>New Equation {Changed by Distribution} :</em>
5x - 50 = 30 - 15x
The next step would be to 50 to both sides. The reason we do that is to get rid of the 50 that is on the left side of the equation.
<em>Old Equation :</em>
5x - 50 = 30 - 15x
<em>New Equation {Changed by Adding 50 to Both Sides} :</em>
5x = 80 - 15x
And now we would add 15x to both sides to get rid of the -15x on the right side of the equation.
<em>Old Equation :</em>
5x = 80 - 15x
<em>New Equation {Changed by Adding 15x to Both Sides} :</em>
20x = 80
Now we divide both sides by 20 to get x on it's own.
<em>Old Equation :</em>
20x = 80
<em>New Equation {Changed by Dividing Both Sides by 20} :</em>
Finally, all we have to do is solve to find x.
<em>Old Equation :</em>
<em>Solution {Old Equation Solved} :</em>
x = 4
<em>So, in the equation </em><span><em>5 ( x – 10 ) = 30 – 15x</em>, x = 4.
Hope this helps!
- Lindsey Frazier ♥</span>