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topjm [15]
3 years ago
11

Rewrite the expression in the form y^n

Mathematics
2 answers:
bazaltina [42]3 years ago
6 0

Answer:

$ y^6 $

Step-by-step explanation:

$ \frac{a^b}{a^c} = a^{b - c} $

Using this rule we have:

$ \frac{y^{-7}}{y^{-13}}  = y^{-7 -(-13)} = y^6$

worty [1.4K]3 years ago
4 0

Answer:

  y^6

Step-by-step explanation:

The applicable rules of exponents are ...

  y^ay^b=y^{a+b}\\\\\dfrac{1}{y^{-a}}=y^a

Using these rules, you can write the expression as ...

  \dfrac{y^{-7}}{y^{-13}}=y^{-7-(-13)}=y^6

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Jakes family was on vacation for two weeks and five days. Seth’s family was on vacation for three weeks and two days.How many fe
n200080 [17]

2 \times 7 = 14 \\  + 5 = 19 \\  \\ 3 \times 7 = 21 \\  + 2 = 23 \\  \\ 23 - 19 = 4

7 0
3 years ago
Find the perimeter of a rectangle with a length of 6x+3 and a width of -2x-5.
blsea [12.9K]
The simple way of calculating a perimeter is to add all of the sides.
For a rectangle this would equal 2 x length + 2 x width
P = 2(6x + 3) + 2(-2x - 5)
= 12x + 6 - 4x - 10
= 8x - 4

At a higher level both the length and width must be greater than zero (= zero is a trivial rectangle)
6x + 3 > 0
6x > -3
x > -0.5

-2x - 5 > 0
2x + 5 < 0 (multiplying by -1 reverses the inequality)
2x < -5
x < -2.5

This rectangle cannot exist as x cannot be < -2.5 and > -0.5 at the same time!
8 0
3 years ago
Read 2 more answers
How do I solve this question?
Oduvanchick [21]

9514 1404 393

Answer:

  no, y does not vary directly with x

Step-by-step explanation:

If there is direct variation, the constant of variation can be found as ...

  k = y/x

Here, those ratios are ...

  y/x = 6/3 = 2

  y/x = 18/6 = 3

  y/x = 24/8 = 3

The ratio of y to x is NOT A CONSTANT, so <em>there is no direct variation.</em>

4 0
3 years ago
I always get these mixed up, can someone help me? ​
jolli1 [7]

Answer:

The answer is

1_ side angle side

2_angle side angle

3_ angle angle side

4_ side side side

4 0
3 years ago
Find the distance between the origin and the point R = (9,7,8). The distance is: Ensure that you use at least 4 decimal place ac
gregori [183]

Answer:

The distance between the origin and the given point is 13.9283 units.  

Step-by-step explanation:

The coordinates of origin are (0,0,0)

We are given a point R(9,7,80

The distance formula:

\sqrt{(y_1 -x_1)^2 + (y_2 -x_2)^2 + (y_3 -x_3)^2}, where (x_1, x_2, x_3) are coordinates of one point and  (y_1, y_2, y_3) are coordinates of other point.

Putting the values as:

y_1 = 9, y_2 = 7, y_3 = 8\\x_1 =0, x_2 = 0, x_3 = 0

We get d = \sqrt{81 + 64 + 49}

d = \sqrt{194}

d = 13.9283

Thus, the distance between the origin and the given point is 13.9283 units.

8 0
4 years ago
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