Answer:
x > -
Step-by-step explanation:
Given
6(x + 1) > 2x - 1 ← distribute parenthesis on left side
6x + 6 > 2x - 1 ( subtract 2x from both sides )
4x + 6 > - 1 ( subtract 6 from both sides )
4x > - 7 ( divide both sides by 4 )
x > -
Part A
4 < 5 < 9 is given to us. Apply the square root to each term to end up with this inequality: sqrt(4) < sqrt(5) < sqrt(9)
So sqrt(5) is between <u>sqrt(4)</u> and <u>sqrt(9)</u>
-------------------
Part B
Simplify those two mentioned square roots
sqrt(4) = sqrt(2^2) = 2
sqrt(9) = sqrt(3^2) = 3
Therefore, sqrt(5) is also between <u>2</u> and <u>3</u>
We can see this through using a calculator: sqrt(5) = 2.23607 approximately
-----------------
Part C
We can now say:
2 < sqrt(5) < 3
Multiply all three sides by 6
6*2 < 6*sqrt(5) < 6*3
So the expression 6*sqrt(5) is between <u>6 x 2</u> and <u>6 x 3</u>
Sure enough, a calculator confirms this
6*sqrt(5) = 13.416408
since 6*2 = 12 and 6*3 = 18. We see that 13.416 is between 12 and 18.
Next time, please separate the expressions with a comma, semicolon or the word "and."
I need to assume that you meant "8/(8a^2)" If that's the case, then what you have here is
1 8
--- and -----------
a 8a^2
I would then cancel the 8s, obtaining:
1 1
--- and -----------
a a^2
a
and then multiply 1/a by (a/a): -----------
a^2
to obtain
a 1
------- and -------
a^2 a^2
There is only one LCD here, and it's "a^2."
Answer:
Number 2 is A and number 3 Is A.
Step-by-step explanation:
divide
Answer:
60 degrees
Explanation:
In a rhombus, we have the following properties for its angles:
Angles marked with the same letter are equal.
This means that opposite angles are equal. Also, the sum of consecutive angles is 180°.
In our case, we are interested in the first property, opposite angles are equal. Applying this to our figure:
The angles marked in the same color are equal.
--> B is equal to D:
Answer:
60 degrees