Answer:
D
Step-by-step explanation:
To obtain vertex form from the given equation use the method of completing the square
given 8y + x² = - y² - 181 + 26x
rearrange having the x terms and y terms together
add y² to both sides
8y + x² + y² = - 181 + 26x ( subtract 26x from both sides )
x² - 26x + y² + 8y = - 181
add (half the coefficient of the x/y terms )² to both sides
x² + 2(- 13)x + 169 +y² + 2(4)y + 16 = - 181 + 169 + 16
completing the square on both the x and y terms
(x - 13)² + (y + 4)² = 4 → D
If there are choices, please list them.
If not, it is certainly a capital gain if you live in the United States.
And capital gains are taxed. Again if you are in the US and you are not a trader, you will be taxed at a different higher rate if you sold it in less than a 1 year period.
Over a year and it is called a long term gain and the tax rate is lower. There's more about how to write off short term losses and gains, but that's getting into complexity you probably don't need to know about.
Answer: Capital Gain <<<<<<
<h3>Answer: 104 degrees</h3>
================================
Work Shown:
Inscribed angle theorem
arc measure = 2*(inscribed angle)
arc BCD = 2*(angle A)
arc BCD = 2*(97)
arc BCD = 194 degrees
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Break arc BCD into its smaller pieces
arc BCD = (minor arc BC) + (minor arc CD)
194 = (90) + (minor arc CD)
194-90 = minor arc CD
104 = minor arc CD
<h3>minor arc CD = 104 degrees</h3>
Answer:
y > 1/3 x - 3
Step-by-step explanation:
First, it would be easiest to find the equation of the line from the two integer points given, which are (0, -3) and (3, -2).
Find the change of y over the change of x to get the slope of the line.
(-2 - (-3))/(3 - 0) = 1/3
Since the line intercepts the y axis at (0, -3), the equation of the line would be
y = 1/3x - 3
We can see that the shaded portion is above the line, (and that the line is dotted) so this graph represents
<u>y > 1/3 x - 3</u>
Answer:
33.34%.
Step-by-step explanation:
Given that,
The actual price of the shirt = $36
Price on sale = $24
We need to find the percent of the decrease. The formula for the percentage is given by :
Putting all the values,
So, the percentage decrease in the price of the shirt is 33.34%.
