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Tema [17]
3 years ago
14

simplify, and write using only positive exponents. variables are non-zero (x^-4)^2(x^-2y^3)^2/(x^-2y^-3)^2

Mathematics
1 answer:
Zinaida [17]3 years ago
5 0

Hello,

\dfrac{(x^{-4})^2(x^{-2}y^3)^2}{(x^{-2}y^{-3})^2}=\dfrac{x^{-8}x^{-4}y^6}{x^{-4}y^{-6}}\\\\=x^{-8-4+4}y^{6-(-6)}=x^{-8}y^{12}=\dfrac{y^{12}}{x^{8}}

do not hesitate if you have any question

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Pls answer the question with the pic below
wariber [46]

Answer: Complementary

x=58

Step-by-step explanation:

5 0
3 years ago
Find the area of this parallelogram.<br>6 cm<br>8 cm<br>15 cm​
stepan [7]

Answer:

90 cm

Step-by-step explanation:

15 x 6 = 90

6 0
3 years ago
The range of F(x) = logbx is the set of all positive real numbers.
shtirl [24]

Answer:

The range of F(x) = logbx is the set of all positive real numbers is TRUE

Step-by-step explanation:

Given:

A function which logarithmic i.e F(x)=logbX=logx/logb  with base 10

To Find;

Range belongs to All set are positive real numbers.

Solution:

The domain is function for which all set of inputs are defined  and range for function is that set of all output that functions takes.

So Simple logarithmic function y=logbX is

X=b^y

So  The functions has domain of all real values  and range set of all real number.

In general the function F(x) = logbx  where X>0 and b≠1  is continuous and one to one function.

logarithmic function is not defined for negative numbers or for zero.

And Also function approaches y-axis as x-tends to infinity but never touches the it.

Hence the Given statement is true

7 0
4 years ago
How many solutions does the system have? y=-5x-1 y=-5x+7
vesna_86 [32]

Answer:

Step-by-step explanation:

to do these types of problems, we must compare the slopes and the y int's

in y = mx + b form, the slope will be in the m position and the y int will be in the b position.

y = mx + b

y = -5x - 1......slope here is -5 and y int is -1

y = -5x + 7....slope here is -5 and y int is 7

learn these....it really helps

if the slopes are the same, but the y int different, there is no solution because ur lines are parallel

if the slopes are different and the y int are different, then there will be one solution

if the slopes are the same and the y int are the same, there is infinite solutions because u have the same line.

so the answer to this problem is : NO SOLUTIONS...ur lines are parallel and never cross

8 0
3 years ago
What is a sextant and how is it used?
Elan Coil [88]
A sextant<span> is a </span>doubly reflecting navigation instrument<span> that measures the </span>angular distance<span> between two visible objects. The primary use of a sextant is to measure the angle between an </span>astronomical object<span> and the </span>horizon<span> for the purposes of </span>celestial navigation<span>.

The estimation of this angle, the altitude, is known as </span>sighting<span> or </span>shooting<span> the object, or </span>taking a sight<span>. The angle and the time when it was measured, can be used to calculate a </span>position line<span> on a nautical or aeronautical </span>chart. F<span>or example; sighting the </span>Sun<span> at </span>noon <span>or </span>Polaris<span> at night (in the Northern Hemisphere) to estimate </span>latitude<span>. Sighting the height of a landmark can give a measure of </span>distance off<span> and held horizontally.

A sextant can measure angles between objects for a </span>position on a chart.<span> A sextant can also be used to measure the </span>lunar distance<span> between the moon and another celestial object (such as a star or planet) in order to determine </span>Greenwich Mean Time<span> and hence </span>longitude<span>. 

Hope this helps! 

<em>~ ShadowXReaper069</em></span>
7 0
3 years ago
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