Answer:
The center is (5, -2) and the radius is 9/2
Step-by-step explanation:
The equation of a circle can be written by
(x-h) ^2 + (y-k)^2 = r^2
where (h,k) is the center and r is the radius
(x-5)^{2}+(y+2)^{2} = 81/4
( (x-5)^{2}+(y- -2)^{2} = (9/2)^2
The center is (5, -2) and the radius is 9/2
Answer: x = 6
Step-by-step explanation: If you take 88.56 + 5x = 19.76x, an equation, you should first rearrange the variables to the left side of the equation: 5x - 19.76x = -88.56.
Next, you should combine your like terms. So, -14.76 = -88.56.
Then, divide both sides of the equation by the coefficient of variable. So, x = -88.56 / -14.76./
Lastly, calculate. Determine the sign for multiplication or division, so x = 88.56 / 14.76. Multiply both the numerator and denominator with the same integer. So, x = 8856 / 1476. Cross out the common factor, then you get your answer of x = 6
Answer:
x2−3x−2
Step-by-step explanation:
Answer:
Step-by-step explanation:
we know that
If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)
step 1
Find the slope of the given line
we have
isolate the variable y
the slope of the given line is
step 2
Find the slope 
of the perpendicular line to the given line
---> slope of the given line
therefore
The value of m is
Answer:
You end up paying 22% of the original price.
Step-by-step explanation:
The statement indicates that a store has clearance items that have been marked down by 60% and this means that you have to pay 40% of the price as:
100%-60%=40%
Now, the statement says that the are advertising an additional 45% off clearance items which means that you will have a 45% discount on the 40% of the original price. So, you have to calculate 45% of 40 and subtract that from 40 to find the percentage that you will end up paying:
40*45%=18
40-18=22
According to this, the answer is that you end up paying 22% of the original price.
