The simplified expression is (r) (4
x s³) is 4r³.
The amount of times a number has been multiplied by itself is shown by its exponent. The result of multiplying 8 by itself n times is represented as follows:
8 x 8 x 8 x 8 x …..n times = 8n
Given:
(r) (4
x s³)
Now, using the law of exponents we have
So,
(r) (4
x s³)
= 4 x
= 4r³ x s°
= 4r³
Hence, the simplified expression is (r) (4
x s³) is 4r³.
Learn more about exponents here:
#SPJ1
So, Option A is correct
Step-by-step explanation:
We need to identify the expression, that makes the sentence true:
First converting mixed fraction into improper fraction
For comparing both terms, their denominator should be same.
Multiplying by 9 and
by 2 to make denominator same.
So, comparing terms
So, Option A is correct
Keywords: Comparing fractions
Learn more about Comparing fractions at:
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Answer:
This is proved with the help of slope.
Step-by-step explanation:
Given Mr. Johnson is working on constructing a square table for his classroom. He positioned his design on a coordinate grid, as shown. Mr. Johnson will need to put a brace through each diagonal of the table in order to secure the table's stability.
Now, if Johnson use more than one brace then we have to prove that the braces will intersect at a right angle.
From the figure we have to prove the diagonals AC and BD are at right angle. To prove above we have to find the slopes of both diagonals.
As we know, In a coordinate plane, the slopes of perpendicular lines are opposite reciprocals of each other i.e their product is equals to -1.
⇒ AC and BD are perpendicular
⇒ Braces which put through each diagonal intersect at right angle and the table will stable.
