Answer:
Step-by-step explanation:
Standard form of a circle is given by,
(x - a)² + (y - b)² = r²
Here, (a, b) is the center and 'r' is the radius of the circle.
For a circle having center (8, -4) and radius r = 1
Equation of the circle will be,
(x - 8)² + (y + 4)² = 1²
(x - 8)² + (y + 4)² = 1
Option (1) is the answer.
Question (2)
Circle with the center (-1, 0) and a point (2, -4) on it,
Radius of the circle = Distance between the center and the given point on circumference
= 
= 
= 
= 5
Therefore, equation of the circle will be,
(x + 1)² + (y - 0)² = 5²
(x + 1)² + y² = 25
Answer:
- 6 2/3 qt 80%
- 13 1/3 qt 20%
Step-by-step explanation:
It is often convenient to solve a mixture problem by letting a variable represent the quantity of the higher-concentration contributor to the mix.
__
We can let x represent the number of quarts of 80% solution needed. Then (20-x) is the number of quarts of 20% solution needed. The amount of salt in the final mix is ...
0.80x +0.20(20-x) = 0.40(20)
0.60x = 0.20(20) . . . . . . . . subtract 0.20(20) and simplify
x = 20/3 = 6 2/3 . . . . . . . . . divide by 0.60; quarts of 80% solution
(20 -x) = 13 1/3 . . . . . . . . . . amount of 20% solution needed
The teacher should mix 6 2/3 quarts of 80% solution with 13 1/3 quarts of 20% solution.
<span>Michael bought 0.44 pound of sliced turkey.
Now, we need to find what digit is in the value of hundredths.
Note, that the place value is hundredths with ths. Thus, the value is in the
decimal points.
And the value that Michael bought is a decimal number as well.
Not, let us find the value of hundredths.
=> 0.44 pounds
=> .4 = tenths
=> 0.04 = hundredths.
Thus the value of hundredths is 4 or 0.04 or 4/100 in fraction form.
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Answer:
156
Step-by-step explanation:
-7(-3)+(-9)(5)(-3)
21+135
156
Answer: 2 4/5
Step-by-step explanation:
