Hello!!
So the product is when numbers or variables are multiplied together. So if we have 12 * 3/4 then that equals 12/1*3/4=(12*3)/4=36/4=9
So we can see that the product of 12*3/4 is less than 12. We can see this right from the start by noticing that to be at least 12, then 12 would have to be multiplied by at minimum 1 meaning 12*1=12 anything less than 1 would result in a lesser value than 12.
Hope this helps!! Any questions please just ask!! Thank you!!!
Answer:
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Step-by-step explanation:
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 :)
(-7) × (-5) = 35
2 × (-8) = -16
(-11) × 4= (-44)
-8× 8 = (-64)
(-9) × (-9)= 81
(-17) × (-2) =34
(-10) ÷ -2 = 5
44 ÷ (-11)= (-4)
