Answer:
Radius length: √5
Standard Form (Equation): (x + 4)^2 + y^2 = 5
Step-by-step explanation:
First we will determine the radius;
Center: (-4, 0)
Point on Circumference: (-2, 1)
d = √(-2 - (-4))^2 + (1 - 0)^2 = √(2)^2 + (1)^2
= √4 + 1 = √5
Therefore the radius is of length √5
Now the equation of a circle is in the form ((x - h)^2 + (y - k)^2) = r^2. The center is in the form (h,k) and r is the radius. Given this our equation would be (x - (-4))^2 + (y - 0)^2 = (√5)^2, or [simplified] (x + 4)^2 + y^2 = 5.
Quarts of detergent 1208
First, we convert each unit to its pint equivalent.
1 gallon =eight US Pint
114 gallons =114 X eight =912 Pint
34 gallon =34 X 8 =272 Pint
further, 1 quart =2 Pint
12 quart = 12 X 2 Pint =24 Pint
including the three values
912+272+24=1208 Pint
therefore, Meredith will want 1,208 Pint boxes.
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Answer:
B is the answer
Step-by-step explanation:
you have to divide 120 by 0.04
70+68= 138
138 is the answer because by the triangle sum theorem says all the inside angles of a triangle equal 180 degrees and a straight line is 180 degrees so to find x you just must add up the other two sides of the triangle
Given:
Consider the equation is:
![\log_81000=\log_210](https://tex.z-dn.net/?f=%5Clog_81000%3D%5Clog_210)
To prove:
by using the properties of logarithms.
Solution:
We have,
![\log_81000=\log_210](https://tex.z-dn.net/?f=%5Clog_81000%3D%5Clog_210)
Taking left hand side (LHS), we get
![LHS=\log_81000](https://tex.z-dn.net/?f=LHS%3D%5Clog_81000)
![\left[\because \log_ab=\dfrac{\log_x a}{\log_x b}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbecause%20%5Clog_ab%3D%5Cdfrac%7B%5Clog_x%20a%7D%7B%5Clog_x%20b%7D%5Cright%5D)
![LHS=\dfrac{\log (10)^3}{\log 2^3}](https://tex.z-dn.net/?f=LHS%3D%5Cdfrac%7B%5Clog%20%2810%29%5E3%7D%7B%5Clog%202%5E3%7D)
![[\because \log x^n=n\log x]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Clog%20x%5En%3Dn%5Clog%20x%5D)
![LHS=\dfrac{\log 10}{\log 2}](https://tex.z-dn.net/?f=LHS%3D%5Cdfrac%7B%5Clog%2010%7D%7B%5Clog%202%7D)
![\left[\because \log_ab=\dfrac{\log_x a}{\log_x b}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbecause%20%5Clog_ab%3D%5Cdfrac%7B%5Clog_x%20a%7D%7B%5Clog_x%20b%7D%5Cright%5D)
![LHS=RHS](https://tex.z-dn.net/?f=LHS%3DRHS)
Hence proved.