Answer:
-1/6
Step-by-step explanation:
5a+2/3=-1/6
5a=-1/6-2/3
5a=-1/6-4/6
5a=-5/6
a=(-5/6)/5
a=(-5/6)(1/5)
a=-5/30
simplify
a=-1/6
Answer:
OK, lets start by drawing a basic graph (the first one) so we can visualize.
We already know that the y coordinate of the circle's center is .
We know that the circle is tangent to the axis at
That means the x coordinate of the center has to be , as the tangent is a point on the edge of the circle that touches a line at exactly one point.
The radius is the distance from the center of the circle to its edge. We know the center's location now, it is and a point on the edge of the circle (the tangent point) which is . so the distance between the points is 4 which is the radius (you can use the distance formula, but it's quite oblivious.)
We can imagine the circle should look like this (the second one):
Now we can piece together an equation
The equation of a circle is where is the center and is the radius. When we put the numbers in: we get which can be simplified into which is the answer.
Step-by-step explanation:
A more accurate method for approximating the volume of the spherical slab other than using just cylindrical slabs is the; use the cross sections of the actual sphere, and to not use the cylindrical slabs.
<h3>What is a Cylinder?</h3>
A Cylinder is a surface created by projecting a closed two-dimensional curve along an axis intersecting the plane of the curve.
Sphere
This is a regular three-dimensional object in which every cross-section is a circle; the figure described by the revolution of a circle about it's diameter.
Therefore, the use of cross sections of the actual sphere is a more accurate method for approximating the volume of the spherical slab.
Learn more about cylindrical slab:
brainly.com/question/9554871
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