Answer:
(-8,-3)
Step-by-step explanation:
This question is similar to the vertex form of a quadratic equation, so you can think of this equation like f(x) = (x-h)+k. Using this equation, you can determine the vertex (h,k) of |x+8|-3, which is (-8,-3).
Answer:
The volume of a box with sidelines that are 20 inches is 8000 cubic inches
Step-by-step explanation:
The volume of a box with sidelines that are 20 inches can be determined by using the formula
B = S³
Where S is the length of one side
and B is the Volume
From the question, the sidelines of the box are 20 inches. That is
S = 20 inches
From
B = S³
B = (20 inches)³
B = 20 inches × 20 inches × 20 inches
B = 8000 cubic inches
Hence, the volume of a box with sidelines that are 20 inches is 8000 cubic inches.
Answer:
The ordered pair generated from the equation is (1, 6).
Step-by-step explanation:
An ordered pair is a pair of numbers, representing two variables, in a specific order. For instance, (<em>x</em>, <em>y</em>) = (1, 2) here <em>x</em> = 1 and <em>y</em> = 2.
The equation provided is:
Check for all the options:
- A (1, 6):
- B (1, 2):
- C (3, 6):
- D (8, 16):
Thus, the ordered pair generated from the equation is (1, 6).
The correct answer is C) (5m^50 - 11n^8) (5m^50 + 11n^8)
We can tell this because of the rule regarding factoring the difference of two perfect squares. When we have two squares being multiplied, we can use the following rule.
a^2 - b^2 = (a - b)(a + b)
In this case, or first term is 25m^100. So we can solve that by setting it equal to a^2.
a^2 = 25m^100 -----> take the square root of both sides
a = 5m^50
Then we can do the same for the b term.
b^2 = 121n^16 ----->take the square root of both sides
b = 11n^8
Now we can use both in the equation already given
(a - b)(a + b)
(5m^50 - 11n^16)(5m^50 + 11n^16)
Answer:
90 or -270
Step-by-step explanation:
