-2(4r - 6) Mathhhhhhhhh pls
2 answers:
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The system of the equations that have the solution of (2, -3) are given below.
3x + 2y = 0 and 3y = 2x - 13
<h3>What is the linear system?</h3>A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
Write a system of equations with the solution (2, -3).
From a single point, an infinite number of lines pass through this point.
Let one line is passing through the origin. Then the equation of the line will be
And the other line is perpendicular to the line which is passing through the origin and a point (2, -3).
Then this line also passes through a point (2, -3). Then the value of c will be
Then the equation of the line will be
3y = 2x -13
More about the linear system link is given below.
#SPJ4
*The complete question is in the picture attached below.
Answer:
756πcm³
Step-by-step Explanation:
The volume of the solid shape = volume of cone + volume of the hemisphere.
==> 270πcm³ + ½(4/3*π*r³)
To calculate the volume of the hemisphere, we need to get the radius of the hemisphere = the radius of the cone.
Since volume of cone = 270πcm³, we can find r using the formula for the volume of cone.
==> Volume of cone = ⅓πr²h
⅓*π*r²*10 = 270π
⅓*10*r²(π) = 270 (π)
10/3 * r² = 270
r² = 270 * ³/10
r² = 81
r = √81
r = 9 cm
Thus, volume of hemisphere = ½(4/3*π*r³)
==> Volume of hemisphere = ½(⁴/3 * π * 9³)
= ½(972π)
Volume of hemisphere = 486πcm³
Volume of the solid shape
= volume of cone + volume of the hemisphere.
==> 270πcm³ + 486πcm³
= 756πcm³
