38 divided by 5 is 7.6. So you have to multiply 7.6 by 3. The width is 22.8. The question is a tad bit confusing though.
Hope this helps!
I don’t even know , no cap
Answer:
Option C: 2 books for $14, 5 books for $35
Step-by-step explanation:
A proportional relationship between two quantities would always have a constant of proportionality. Thus,
Constant of proportionality, k = y/x
In this case,
x = quantity of books
y = price
Let's see which pair will have a constant of proportionality:
Option A: 4 books for $24,8 books for $40
24/4 = 6;
40/8 = 5.
No constant of proportionality.
Option B: 5 books for $25, 6 books for $36
25/5 = 5
36/6 = 6
No constant of proportionality.
Option C: 2 books for $14, 5 books for $35
14/2 = 7
35/5 = 7
Constant of proportionality, k = 7.
This pair represents a proportional relationship.
Option D: 3 books for $15, 7 books for $28
15/3 = 5
28/7 = 4
No constant of proportionality.
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 :)
