Answer: The approximate value of x is -3.396
Step-by-step explanation:
Given:
Now,to find the value of x.
Use logarithm rule:
We have,
Now,
Using value of: and we get,
on simplify:
Adding 1 both the sides, we get
Therefore, the approximate value of x for the equation is -3.396.
=
Step-by-step explanation:
9514 1404 393
Answer:
- reflection across the origin
- rotation 180° about the origin
- reflection across the x-axis, and translation right 6 units
Step-by-step explanation:
The figure and its image are symmetrical about the origin, so the following three transformations are equivalent:
1. reflection across the origin
2. rotation 180° about the origin
3. reflection across both x- and y-axes, in either order
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The figure itself has left-right symmetry, so only one reflection is necessary to map the figure to its image: reflection across a horizontal line. Following that reflection, the image can be put into place by an appropriate translation. One such pair of transformations is ...
4. reflection across the x-axis and translation 6 units right, in either order
Answer:
41
Step-by-step explanation:
Given Expression:
(4 x 9 - 21) \ 3+6^2
Multiply 4 and 9 to get 36.
36 - 21 / 3 + 6^2
Subtract 21 from 36 to get 15.
15/3 + 6^2
Divide 15 by 3 to get 5.
5+6^2
Calculate 6 to the power of 2 and get 36.
5+36
Add 5 and 36 to get 41.
41
To find the common ratio, u take ur 2nd term, and divide it by ur 1st term
(-1/6) / (5/12) =
-1/6 * 12/5 =
- 2/5 <== ur common ratio
Answer:
3√3
Step-by-step explanation:
For the problem shown here, your answer 3√3 is correct.
When there is a radical by itself in the denominator, you multiply numerator and denominator by a radical that results in the product being rational. For a square root, that will usually be the same square root:
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If the problem has a sum in the denominator involving a square root, then you multiply numerator and denominator by the conjugate of that sum (the sum with the sign changed). This uses the special product "difference of squares" to eliminate the radical term.
<u>Example</u>:
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It is easy to demonstrate that none of the offered choices for this problem has the same value as 9/√3.
9/√3 ≈ 5.196. Offered choices have values of about 4.798, 1.732, 6.681, 23.196 -- none even close.
Please discuss this question with your teacher.
