The center is at origin O(0,0).
If it contains the point, P(-8,6), then the radius r is, by Pythagoras theorem,
r=sqrt((-8)^2+6^2)=10
The general equation of a circle at centre (xc,yc) with radius r is given by
(x-xc)^2+(y-yc)^2=r^2
Substituting r=10, (xc,yc)=(0,0)
the resulting equation is therefore
(x-0)^2+(y-0)^2=10^2
or simply
x^2+y^2=100
Answer: Length = 24; width =4
Step-by-step explanation
Since the ratio of the length to width is 6:1
Let the length be represented as 6x
And the width be = x
Such that that the Perimeter of the rectangle which is
Perimeter = 2(length + width) becomes
56 = 2(6x + x)
56/2 = 6x+x
28 = 7x
x = 4
Width = 4
Length = 6x= 6 x 4 = 24
Answer:
hold on im trying to solve it
Step-by-step explanation:
Kelly can show 49 with 4 ten blocks and 9 one blocks, 49 ones blocks, and she take a one hundred grid block, places 4 tens on 4 columns of the 100 and 9 one blocks on one row of the 100 grid block.
By eliminating exponents, the <em>logarithmic</em> expression 
is equivalent to the <em>logarithmic</em> expression 
.
<h3>How to simplify logarithmic functions</h3>
In this problem we are supposed to eliminate all exponents of a <em>logarithmic</em> function by applying any of the following properties:
- ㏒ x · y = ㏒ x + ㏒ y
- ㏒ x/y = ㏒ x - ㏒ y
- ㏒ yˣ = x · ㏒ y
Now, we proceed to simplify the function:
By eliminating exponents, the <em>logarithmic</em> expression is equivalent to the <em>logarithmic</em> expression .
To learn more on logarithms: brainly.com/question/24211708
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