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ch4aika [34]
3 years ago
11

The first three steps of completing the square to solve the quadratic equation x^2 +4x-6=0, are shown below

Mathematics
1 answer:
GarryVolchara [31]3 years ago
5 0

Answer: x=sqrt10-2, x=-sqrt10-2

Step-by-step explanation: square root both sides of the equation.

x+2=sqrt10,-sqrt10

subtract 2 from both sides of the equation

x=sqrt10-2, -sqrt10-2

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What is the value of 4 x 3 divided by (12 divided by2)^2
Digiron [165]

Answer:0.333

Step-by-step explanation:

5 0
3 years ago
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One year, the population of a city was 64,000. Several years later it was 53,120. Find the percent decrease.
ohaa [14]

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17% i think

Step-by-step explanation:

4 0
2 years ago
The remainder obtained when 3x^3 - 6x^2 + ax -1 is divided by x+1 is equal to the remainder obtained when the same expression is
telo118 [61]

Answer:

5a

Step-by-step explanation:

Solution

verified

Verified by Toppr

We have x

3

−ax

2

+6x−a

Apply remainder theorem

x−a=0

x=a

Put x=a in equation.

(a)

3

−a(a)

2

+6a−a

=a

3

−a

3

+6a−a

=6a−a

=5a

Then reminder is 5a

4 0
3 years ago
Two-stroke fuel for a lawn mower requires an oil: petrol ratio of 1:40. How much petrol is added to 50ml of oil
bearhunter [10]
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8 0
3 years ago
Given the diagram below, what is cos(45*)? <br><br> A.<br><br><br> B.<br><br><br> C.<br><br><br> D.
alina1380 [7]

Answer:

The answer is option B

Step-by-step explanation:

To find cos 45° we must first find the adjacent and the hypotenuse

Let the adjacent be x

Let the hypotenuse be h

To find the adjacent we use tan

tan ∅ = opposite / adjacent

From the question

the opposite is 9

So we have

tan 45 = 9 / x

x tan 45 = 9

but tan 45 = 1

x = 9

Since we have the adjacent we use Pythagoras theorem to find the hypotenuse

That's

h² = 9² + 9²

h² = 81 + 81

h² = 162

h = √162

h = 9√2

Now use the formula for cosine

cos∅ = adjacent / hypotenuse

The adjacent is 9

The hypotenuse is 9√2

So we have

cos 45 = 9/9√2

We have the final answer as

<h3 /><h3>cos 45 = 1 / √2</h3>

Hope this helps you

3 0
3 years ago
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