We are given original equation: 
We need to find the enter and radius of a circle using the completing the square method.
The steps are as following :
Step 1 [original equation]: x^2 − 10x + y^2 + 12y = 20 .
Step 2 [group like terms]: (x^2 − 10x) + (y^2 + 12y) = 20
Step 3 [complete the quadratics]: (x^2 − 10x + 25) + (y^2 + 12y + 36) = 20 + (25 + 36).
Step 4 [simplify the equation]: (x^2 − 10x + 25) + (y^2 + 12y + 36) = 64.
Step 5 [factor each quadratic]: (x − 5)^2 + (y + 6)^2 = 8^2
Step 6 [identify the center and radius]: Center = (5, −6) Radius = 8.
<h3>Step 6 is incorrect.</h3><h3>The center should be (5,-6).</h3><h3> Replace − 5 with + 5 and replace + 6 with − 6.</h3>
The length, width and height of the rectangular prism is ∛10
<h3>How to determine the dimensions?</h3>
The volume is given as:
Volume, V = 10m^3
For a minimised volume, we have:
Length = Width = Height
This means that:
V = L^3
So, we have:
L^3 = 10
Take the cube root of both sides
L = ∛10
Hence, the length, width and height of the rectangular prism is ∛10
Read more about volume at:
brainly.com/question/1972490
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(9x)/7
let me break it down...
there were 9 containers.....each container had x number of strawberries....thats the 9x
divided by 7.....divided by the number of friends.
so the 7 stands for the total number of friends
Step-by-step explanation:
The sum of two opposite interior angles equals an exterior angle
50+?=115
?=115-50=65°
Answer:
y = 1.5x + 3.2009
Step-by-step explanation:
I plotted your points and drew a linear regression line.
Its equation is
y = 1.5x + 3.2009
The regression line ignores the fact that the points fall along a smooth curve.
A parabolic regression line fits the data much better.
The equation for that line is
y = - 0.1647x² + 4.1357x - 5.6946
It is the equation for a vertical parabola opening downward.
