Easy. it’s b because when it’s all added up 9 is the answer
We can solve this by multiplying those two numbers but we place them in improper fraction.
2 1/2 x 2 1/4
becomes
5/2 x 9/4
for fraction multiplication, just multiply numerator by numerator and denominator by denominator
5/2 x 9/4 = 45/8
we can simplify this into mixed fraction while numbers in whole numbers and remainder in numerator
5 5/8 is the answer
The answer is 7
f(x) = -4x - 1
f(-2) = ?
Since f(x) = f(-2), then x = -2. Now just substitute x in the function:
f(-2) = (-4) * (-2) - 1
f(-2) = 8 - 1
f(-2) = 7
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 :)
