The solution to the given equation is x = ±7. The correct option is d. x = ±7
<h3>Solving quadratic equations </h3>
From the question, we are to determine the solution to the given equation
The given equation is
x²-49 = 0
NOTE: I assumed the variable is x
Solving the equation
x²-49 = 0
Writing in the form ax²= c
x² = 49
∴ x = ±√49
x = ±7
Hence, the solution to the given equation is x = ±7
Learn more on Solving quadratic equations here: brainly.com/question/24334139
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Answer:
Part A: 5 inches³.
Part B: 302 inches³.
Part C: Yes. Explanation below.
Step-by-step explanation:
Part A: The cookie sandwiches appear to be flat cylinders. The volume for a cylinder is pi * r^2 * h.
In this case, the h = 1 inch and r = 1.25 inches.
pi * 1.25^2 * 1
= pi * 1.5625
= 3.14 * 1.5625
= 4.90625.
So, the volume of a single cookie sandwich is about 5 inches³.
Part B: As stated before, the volume of a cylinder is pi * r^2 * h.
In this case, the r = 4.5 inches, and the h = 4.75 inches.
pi * 4.5^2 * 4.75
= 3.14 * 20.25 * 4.75
= 63.585 * 4.75
= 302.02875.
So, the volume of the food storage container is about 302 inches³.
Part C: Given the calculations from Parts A and B, Jenny will be able to transport all the cookie sandwiches in the food storage container. This is because there are 56 cookie sandwiches, each with a volume of 5 cubic inches. That means that the cookie sandwiches will take up 5 * 56 = 280 cubic inches of space. There is about 302 cubic inches of space in the container, so there will still be 22 cubic inches of air inside the container after the cookies are inside.
Hope this helps!
Answer:
x² = 8 - (y - 8)² - 2x
x² = 16y - y² - 2x - 56
Step-by-step explanation:
∵ (x + 1)² + (y - 8)² = 9
∵ x² + 2x + 1 = 9 - (y - 8)²
∴ x² = 9 - (y - 8)² - 2x - 1
∴ x² = 8 - (y - 8)² - 2x
OR:
∵ x² = 8 - (y² -16y + 64) - 2x
∴ x² = 8 - y² + 16y - 64 - 2x
∴ x² = 16y - y² - 2x - 56
Answer;
mean=5.2
median=6
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
