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3 years ago

3 times a number is 54 less than the square of that number

Mathematics

2 answers:

Natasha2012 [34]3 years ago

8 0

Answer:

-6

Step-by-step explanation:

3n = n² - 54

n² - 3n - 54 = 0

n² - 9n + 6n - 54 = 0

n(n - 9) + 6(n - 9) = 0

(n - 9)(n + 6) = 0

n = 9 , -6

hope this helps

alexgriva [62]3 years ago

7 0

3x = x^2 - 54
x^2 - 3x - 54 = 0
(x - 9)(x + 6) = 0
The answer is 9 or -6

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The length of ZX is 2 units. What is the perimeter of triangle XYZ?

dezoksy [38]

Keywords

triangle,perimeter,distance, length, side, points

we know that

The perimeter of a triangle is the sum of the three length side

To find the length side calculate the distance between two points

The formula to calculate the distance between to points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

Step 1

Find the distance ZY

$Z(1,0)\\Y(3,1)$

substitute the values

$d=\sqrt{(1-0)^{2}+(3-1)^{2}}$

$dZY=\sqrt{5}\ units$

Step 2

Find the distance XY

$X(-1,4)\\Y(3,1)$

substitute the values

$d=\sqrt{(1-4)^{2}+(3+1)^{2}}$

$dXY=\sqrt{25}=5\ units$

Step 3

Find the perimeter of the triangle

$P=ZX+ZY+XY$

we have

$dZX=2\sqrt{5}\ units$

$dZY=\sqrt{5}\ units$

$dXY=5\ units$

Substitute

$P=(2\sqrt{5}+\sqrt{5}+5)\ units$

therefore

the answer is

$P=(3\sqrt{5}+5)\ units$

4 0

3 years ago

Read 2 more answers

If y varies directly as x, and y is 20 when x is 4, what is the constant of variation for this relation?

Ludmilka [50]

Answer:

Step-by-step explanation:

y = k*x This is the formula for a direct variation.

y = 20
x = 4 Substitute these values into the direct variation

20 = 4 * k Divide by 4

20/4 = 4k/4

k = 5

Answer: the constant of variation is 5

7 0

2 years ago

A jet ski costs $925 and depreciates by 15% each year. How much will

ivann1987 [24]

Initial cost of the jet ski = $925
Percentage of depreciation per year = 15%
Number of years after which the cost of the jetski has to be determined = 7
Then
Depreciated Value = Initial cost( 1 - percentage of depreciation) ^number of years
      = 925( 1 - 15%)^7
      = 925( 1 - 15/100)^7
      = 925(1 - 0.15)^7
      = 925(0.85)^7
      = 925 *(0.85)^7
      = 925 * 0.3206
      = 296.53 dollars
So the depreciated cost of the jet ski after 7 years will be $296.53

6 0

3 years ago

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KATRIN_1 [288]

The slope is mx+b so find two points in the graph and use y-rise/x-run

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4 years ago

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Consider the following 8 numbers, where one labelled

cupoosta [38]

Answer:

x = 73

x = -35

Step-by-step explanation:

Here are the 8 numbers:

34, 31, 15, x, 17, 4, 20, 25

Here are the 8 numbers in ascending order with x as the greatest number:

4, 15, 17, 20, 25, 31, 34, x

x - 4 = 69

x = 73

Here are the 8 numbers in ascending order with x as the smallest number:

x, 4, 15, 17, 20, 25, 31, 34

34 - x = 69

-x = 69 - 34

-x = -35

x = -35

Answer:

x = 73

x = -35

8 0

2 years ago