Answer:
Choice B
Step-by-step explanation:
The first step is to write the polar equation of the conic section in standard form by dividing the numerator and denominator by 6;
The eccentricity of this conic section is thus 2/3, the coefficient of cos theta. Clearly, the eccentricity is between o and 1 implying that this conic section represents an Ellipse.
Lastly, the ellipse will open towards the left since we have positive cos theta in the denominator. The only graph that meets the conditions is graph B.
I believe you meant to say that if Samantha bought 510 pounds of hamburger, how much will she pay?
Now from the information we already have, we know that 3 pounds of hamburger will cost 6 dollars.
The next thing we need to know is how much one pound of hamburger will cost. This will help us calculate how much the rest will cost.
we now form an equation to assist us.
3 = 6
1= x
(where x represents the unknown price of one pound of hamburger)
Now we must cross-multiply:
3 * x = 6 x 1
3x = 6
x = 6/3
x = 2
therefore one pound of hamburger costs 2 dollars.
Now, If one pound costs 2 dollars, how about 510 pounds?
We simply multiply: 510 x 2 = 1,020
Therefore Samantha will pay 1, 020 dollars for 510 pounds of hamburger.
120 the formula for interior angles of a shape is ((n-2)180)n
Answer: D. 72 m
Step-by-step explanation:
The formula for the volume of a cone is Volume = pi times radius squared and then times the height, and then divided by 3.
Since the diameter is 12, the radius is 6. Applying the formula, 6 squared is 36, times pi is 36 pi. The height is 6 so 36 * 6 = 216.
But be careful, we're not done yet... We still have to divide by 3
216 / 3 = 72
we can be sure this answer is correct because the other answers are clearly too big
here's your answer, hope this helps :)
Answer:
Step-by-step explanation:
Question (1)
x² + 10x + 12
= x² + 2(5x) + 5² - 5² + 12
= [x² + 2(5x) + 5²] - 5² + 12
= (x + 5)² - 25 + 12 [Since, a² + 2ab + b² = (a + b)²]
= (x + 5)² - 13
Question (2)
y² - 6y - 15
= y² - 2(3y) - 15
= y² - 2(3y) + 3² - 3² - 15
= [y² - 2(3y) + 3²] - 3² - 15 [Since, a² - 2ab + b² = (a - b)²]
= (y - 3)² - 3²- 15
= (y - 3)² - 9 - 15
= (y - 3)² - 24
