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Deffense [45]
3 years ago
12

What does n^9/n^5 equal

Mathematics
1 answer:
vovangra [49]3 years ago
4 0

Answer:

n^4

Step-by-step explanation:

Rule:

\dfrac{a^m}{a^n} = a^{m - n}

Your problem:

\dfrac{n^9}{n^5} = n^{9 - 5} = n^4

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Use substitution to solve the system of equations. 2x+4=32 and -2x-6y= -44
Yakvenalex [24]
The answer is C or D but I think its most definitely C
6 0
3 years ago
Solve x 2 - 4x - 7 = 0 by completing the square. What are the solutions?
Bingel [31]

Answer:

x = 2±sqrt(11)

Step-by-step explanation:

x^2 -4x - 7 =0

Add 7 to each side

x^2 -4x -7+7 =0+7

x^2 -4x =7

To complete the square take the coefficient of the x term and  divide by 2 and then square it.  Add it to both sides

-4 /2 = -2 then square

(-2)^2 = 4

Add 4 to both sides

x^2 -4x+4 =7+4

x^2 -4x+4 = 11

Factor the left side into (x-b/2)^2

(x-2)^2 =11

Take the square root of each side

sqrt((x-2)^2) =±sqrt(11)

x-2 = ±sqrt(11)

Add to to each side

x-2+2 = 2±sqrt(11)

x = 2±sqrt(11)

3 0
3 years ago
What is the equation of the line that is parallel to the line 2x − y = 3 and passes through the point (2, −1)?
Ivanshal [37]

Answer:

C. y = 2x − 5

Step-by-step explanation:

Given equation of line

2x − y = 3

rewriting the equation in slope intercept form as answer are given slope intercept form

y = 2x - 3

slope intercept form of equation is

y = mx + c

where m is the slope

c is y intercept

thus

slope for y = 2x - 3 when comparing with y = mx + c is 2

now we know slope of two parallel line is same

thus,

the slope of  line that is parallel to the line 2x − y = 3

is 2

Let the equation of required line be y = mx + c

where m = 2

thus

y = 2x + c is the new required equation

it passes through the point (2, −1)

using y = -1 and x = 2 in y = 2x + c

-1 = 2*2 + c

c = -1 - 4

c = -5

thus,

equation of required line is option c

y = 2x - 5 ----answer

7 0
2 years ago
Colin buys a car for £27900 he
gogolik [260]
£27900*0.97^2=£26251.11

4 0
2 years ago
A rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a​ single-strand electric
larisa86 [58]

Answer:

525 x 1,050

A = 551,250 m²

Step-by-step explanation:

Let 'L' be the length parallel to the river and 'S' be the length of each of the other two sides.

The length of  the three sides is given by:

2S+L=2,100\\ L=2100-2S

The area of the rectangular plot is given by:

A=S*L\\A=S(2100-2S)\\A=2100 S -2S^2

The value of 'S' for which the area's derivate is zero, yields the maximum total area:

\frac{dA(S)}{dS}=\frac{d(2100 S -2S^2)}{dS}\\0= 2100 - 4S\\S=525

Solving for 'L':

L=2100-(2*525)\\L=1,050

The largest area enclosed is given by dimension of 525 m x 1,050 and is:

A = 525*1,025\\A=551,250\ m^2

5 0
3 years ago
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