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Mumz [18]
3 years ago
11

solve the equation by completing the square: x^2-3x-18=0. after completing the square, the equation will be ______ and the solut

ion is ______
Mathematics
1 answer:
bixtya [17]3 years ago
8 0

Answer:

1) x²-3x+9/4 = 81/4

2) x = 6, -3

Step-by-step explanation:

x²-3x-18=0

x²-3x=18

(b/2)² = (-3/2)² = 9/4; completing the square

x²-3x+9/4 = 18+9/4

(x-3/2)(x-3/2) = 81/4

x - 3/2 = ± 9/2

x = 3/2 ± 9/2

x = 6, -3

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just olya [345]

Answer:

3.5 mi = 18480 ft

Step-by-step explanation:

There are 5,280 feet for every one mile. Because there are 3.5 mile, you would multiply 5,280 x 3.5, getting 18480 feet.

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Caswell started studying how the number of branches on his tree grows over time. The relationship between the elapsed time ttt,
ipn [44]

Answer:

t =log(20) / 0.3 = 10*log(20) / log(1,000) - years - when the tree will have 100 branches.

Step-by-step explanation:

100 = 5 * 10^(0.3t), solve for t

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Divide both sides by 0.3:

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8 0
3 years ago
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if a right triangle has one side measuring 3√2 and another side measuring 2√3, what is the length of the hypotenuse?
lina2011 [118]

Answer:

<h2>\sqrt{30}</h2>

Step-by-step explanation:

Given,

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Hypotenuse ( h ) = ?

Now, let's find the length of the hypotenuse:

Using Pythagoras theorem:

{h}^{2}  =  {p}^{2}  +  {b}^{2}

plug the values

{h}^{2}  =  {(3 \sqrt{2} )}^{2}  +  {(2 \sqrt{3} )}^{2}

To raise a product to a power, raise each factor to that power

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{h }^{2}  = 30

Take the square root of both sides of the equation

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Hope this helps...

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2 years ago
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