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antoniya [11.8K]
2 years ago
6

Choose correct simplification of x^12z^11/x^2z^4

Mathematics
1 answer:
xeze [42]2 years ago
6 0

The correct simplification of x^12z^11/x^2z^4 is x^{10}z^{7

<h3>How to simplify the expression?</h3>

The expression is given as:

x^12z^11/x^2z^4

Rewrite properly as

\frac{x^{12}z^{11}}{x^2z^4}

Apply the quotient law of indices

x^{12-2}z^{11-4}

Evaluate the difference

x^{10}z^{7

Hence, the correct simplification of x^12z^11/x^2z^4 is x^{10}z^{7

Read more about expressions at:

brainly.com/question/723406

#SPJ1

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What is the total of 9X56
Ivahew [28]

Answer:

504

Step-by-step explanation:

<u>Step 1:  Multiply</u>

<u />9 * 56

504

Answer:  504

5 0
3 years ago
Solve for x. Round to the nearest tenth, if necessary.
galben [10]

Answer:

15.4

Step-by-step explanation:

sin 17° = 4.5 /x

x = 4.5 / sin 17° = 4.5 /0.2924

= 15.4

6 0
3 years ago
Read 2 more answers
Prove that for any natural n the number 3^(n+4)−3^n is divisible by 16.
gtnhenbr [62]

Answer:

Proved (See Explanation)

Step-by-step explanation:

Show that 3ⁿ⁺⁴ - 3ⁿ is divisible by 16.

This is done as follows

\frac{3^{n+4} - 3^n}{16}

From laws of indices;

aᵐ⁺ⁿ = aᵐ * aⁿ.

So, 3ⁿ⁺⁴ can be written as 3ⁿ * 3⁴.

\frac{3^{n+4} - 3^n}{16} becomes

\frac{3^n * 3^4 - 3^n}{16}

Factorize

\frac{3^n(3^4 - 1)}{16}

\frac{3^n(81 - 1)}{16}

\frac{3^n(80)}{16}

3ⁿ * 5

5(3ⁿ)

<em>The expression can not be further simplified.</em>

<em>However, we can conclude that when 3ⁿ⁺⁴ - 3ⁿ is divisible by 16, because 5(3ⁿ) is a natural whole number as long as n is a natural whole number.</em>

3 0
3 years ago
Type the slope-intercept equation
natulia [17]

Answer:

y= -2x +1

Step-by-step explanation:

<u>slope- intercept form</u><u>:</u>

y= mx +c, where m us the gradient and c is the y-intercept.

Let's find the value of m first using the gradient formula.

Gradient= \frac{y1 - y2}{x1 - x2}

m =  \frac{ - 3 - 3}{2 - ( - 1)}  \\ m =  \frac{ - 6}{2 + 1}  \\ m =  \frac{ - 6}{3}  \\ m =  - 2

y= -2x +c

To find the value of c, substitute a pair of coordinates.

When x= -1, y=3,

3= -2(-1) +c

3= 2 +c

c= 3 -2

c= 1

Thus the equation of the line is y= -2x +1.

4 0
3 years ago
Solve for y.<br> y + 1.05 = 7.26<br> y = -6.21<br> y = -8.31<br> y = 6.21<br> y = 8.31
Naddik [55]
Y=6.21
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