Answer:
Step-by-step explanation:
9. the set containing all objects or elements and of which all other sets are subsets.
10. complement --> the amount in only one of teh sets
intersection --> the amount in both sets
11. 14 or -14
13. 46 1/2
14. 2 31/120
15. 1100% profit
16. 1200 gm
17. cube root of 7?
18. 6000 per year
Answer:
We know that the equation of the circle in standard form is equal to <em>(x-h)² + (y-k)² = r²</em> where (h,k) is the center of the circle and r is the radius of the circle.
We have x² + y² + 8x + 22y + 37 = 0, let's get to the standard form :
1 - We first group terms with the same variable :
(x²+8x) + (y²+22y) + 37 = 0
2 - We then move the constant to the opposite side of the equation (don't forget to change the sign !)
(x²+8x) + (y²+22y) = - 37
3 - Do you recall the quadratic identities ? (a+b)² = a² + 2ab + b². Now that's what we are trying to find. We call this process <u><em>"completing the square"</em></u>.
x²+8x = (x²+8x + 4²) - 4² = (x+4)² - 4²
y²+22y = (y²+22y+11²)-11² = (y+11)²-11²
4 - We plug the new values inside our equation :
(x+4)² - 4² + (y+22)² - 11² = -37
(x+4)² + (y+22)² = -37+4²+11²
(x+4)²+(y+22)² = 100
5 - We re-write in standard form :
(x-(-4)²)² + (y - (-22))² = 10²
And now it is easy to identify h and k, h = -4 and k = - 22 and the radius r equal 10. You can now complete the sentence :)
Step-by-step explanation:
If you were asking what is the 3/4 the area of circle with radius 4 I can answer this.
The area of a circle with radius 4 is π4 ^2=16π
3/4*16π= 12π, thus your answer.
Answer: A.
Step-by-step explanation:
Answer:
Let P represent the number of pies sold and J represent the number of juices sold.
a)
The first equation for the sum of the sales:
P + J = 79
P = 79 - J
Next, for the sum of the amounts earned:
1.65P + 1.36J = 118.17
Substituting P,
1.65 (79 - J) + 1.36J = 118.17
J = 42
Using this value of J,
P = 79 - 42
P = 37
b)
Mr. Sanchez's class earned: 1.65 x 37 = $61.05
Mr. Kelly's class earned: 1.36 x 42 = $57.12
So Mr. Sanchez's class earned more money.
c) Mr. Sanchez's class earned:
61.05 - 57.12
= $3.93 more than Mr. Kelly's class
Step-by-step explanation:
:)
