Step-by-step explanation:
(x - 8) (x + 8) = x² - 64
because
x² + 8x - 8x - 64
(a⁵)^-1 = 1/(a⁵)
that is the definition of a negative exponent. it means 1/...
Answer:
D) The expression equals 0
Step-by-step explanation:
-8 + 8 = 0
the negative and positive cancel eachother out
Answer:
Ignacio can make 5 clockwise rotations.
Step-by-step explanation:
Given that the Ignacio's legs are already at a height of 49.3cm and each rotation of the chair knob raises his legs another 4.8cm, we can set up an inequality to determine the number of rotations Ignacio could make without his legs touching the desk, which is at a height of 74.5cm:
4.8r + 49.3 < 74.5 where 'r' is equal to the number of rotations
The sum of the Ignacio's original leg height plus the amount of height increased from the rotations of the know must be less than 74.5 in order for his legs not to touch. Now, solve for 'r':
Subtract 49.3 from both sides: 4.8r + 49.3 - 49.3 < 74.5 - 49.3 or 4.8r < 25.2
Divide 4.8 from both sides: 4.8r/4.8 < 25.2/4.8 or r < 5.25
Since the number of rotations must be less than 5.25, he can make 5 complete rotations.
1:16 or 5:80, if you're simplifying then all you do is divide denominator by numerator. then that's your simplified ratio
The constant of proportionality is equal to 11.
<h3>Constant of Proportionality</h3>
The constant of proportionality is the ratio that relates two given values in what is known as a proportional relationship. Other names for the constant of proportionality include the constant ratio, constant rate, unit rate, constant of variation, or even the rate of change.
In this question, the constant of proportionality is that value that doesn't change or represents the number of players while x represented the number of games they played.
The constant of proportionality can be solved mathematically as
The constant of proportionality is the value that makes y = 11x and it is 11.
Learn more on proportionality here;
brainly.com/question/28413384
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