Answer:
Step-by-step explanation:
The first step is to find the GCF. Here, it's 3.
Then, you factor the polynomial in the parenthesis.
To find the factors, you will need to find 2 numbers that add to -7, and multiply to 10. -2 and -5 add to -7 and multiply to 10. Now, replace -7a with the factors.
This of this polynomial as 2 problems.
Then, factor again.
Then, you keep the factors in parenthesis, and combine the numbers on the outside.
Since, there are 2 of the same factor, you only need one.
BUT REMEMBER!! In the very beginning, we had a 3 that we took out, we STILL need to add that to the final answer. The <u>final answer</u> is:
Answer:
4/5
Step-by-step explanation:
8/15 = 8/15
3/5 = 9/15
2/3 = 10/15
11/15 = 11/15
We see that the pattern is that the terms increase by 1/15 as they move up.
Thus, the next term in the sequence is 12/15, which can be simplified to 4/5.
Let me know if this helps!
An equilateral triangle has three 60 degree angles.
The altitude divides it into two 30 60 90 triangles.
The altitude is the "middle side" of such a triangle.
When that is the case, the middle side divided by the square root of 3 = the short side and multiplied by (2/sq root (3)) equals the hypotenuse.
The hypotenuse is the side of the equilateral triangle.
So, 6 * 2 / (sq root of 3) =
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6.9282032303
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Source:
http://www.1728.org/trig2.htm
The reciprocal of 6/5 is D. 5/6
Reciprocal simply means swapping the position of the numbers in the fraction. The numerator becomes the denominator and the denominator becomes the numerator.
We need to get reciprocal of a fraction when division is performed.
For example: 2 ÷ 1/5
2 may be a whole number but in fraction form it is 2/1.
1st fraction = 2/1
2nd fraction = 1/5
In dividing fractions, the 1st step we need to do is to get the reciprocal of the 2nd fraction.
1/5 ⇒ 5/1
Then, we multiply the 1st fraction to the reciprocal of the 2nd fraction.
2/1 * 5/1 = 10
So, 2 ÷ 1/5 = 10
Answer: 4/9
Step-by-step explanation:
apply product rule to 2/3 2^2 / 3^2
