Which angles are alternate interior angles?
2 answers:
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The equation of the graphed line 2x + 3y = -6 written in standard form is, and for line 2x + 3y = 6 will be,
A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.
a) 2x + 3y = -6
The line in which the standard form is found as;
Ax + By + C = 0
The typical form of a slope intercept is
y = mx+c
where m denotes the slope and b the line's y-intercept.
To obtain the slope standard form, we rewrite. The obtained equation is in the form of the slope-intercept.
b) 2x + 3y = 6
The line in which the standard form is found as;
Ax + By + C = 0
The typical form of a slope intercept is
y = mx+c
where m denotes the slope and b the line's y-intercept.
Hence, The equation of the graphed line 2x + 3y = -6 written in standard form is,
To learn more, about equations, refer;
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What is the equation of the graphed line written in standard form?
2x + 3y = -6, 2x + 3y = 6
Summary:
a. The equation of the graphed line 2x + 3y = -6 written in standard form is y= -2/3 x -2.
b. The equation of the graphed line 2x + 3y = 6 written in standard form is y= -2/3 x +2.
Answer:
A) The volume of solid is 18π cubic unit.
B) The volume of sphere is
a = -r , b = r , and
Solution A)
The given curve, rotate about x-axis between 2 to 4.
Please find attachment for solid figure or rotation.
Using disk method to find the volume rotation about x-axis
where, a = 2, b= 4 , and dx is thickness of disk.
Hence, the volume of solid is 18π cubic unit
Solution B)
The equation of circle of radius r and centered at origin (0,0).
The solid form is sphere of radius r.
Using disk method, to find volume of solid
where, a = -r, b = r , and dx is thickness of disk.
Hence, the volume of sphere is
