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2 years ago

The first few steps in deriving the quadratic formula are shown.

Mathematics

2 answers:

Rus_ich [418]2 years ago

5 0

Answer:

• The distributive property needs to be applied to determine the value to add to the left side of the equation to balance the sides of the equation.

Step-by-step explanation:

We have to multiply the term b2/4a2 by a in order to determine the value to add to the left side of the equation so as to balance both sides of the equation.

If we multiply the terms, we get;

$\frac{b^{2} }{4a^{2} }*a=\frac{b^{2} }{4a}$

Therefore, we shall be adding the term $\frac{b^{2} }{4a}$ to the left side of the equation.

Lerok [7]2 years ago

5 0

Answer: The answer is choice B.

Step-by-step explanation:

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How many solutions does the equation sin(5x) = 1/2 have on the interval (0, 2PI]

Darina [25.2K]

Answer:

Step-by-step explanation:

Given the equation

Sin(5x) = ½

5x = arcSin(½)

5x = 30°

Then,

The general formula for sin is

5θ = n180 + (-1)ⁿθ

Divide through by 5

θ = n•36 + (-1)ⁿ30/5

θ = 36n + (-1)ⁿ6

The range of the solution is

0<θ<2π I.e 0<θ<360

First solution

When n = 0

θ = 36n + (-1)ⁿθ

θ = 0×36 + (-1)^0×6

θ = 6°

When n = 1

θ = 36n + (-1)ⁿ6

θ = 36-6

θ = 30°

When n = 2

θ = 36n + (-1)ⁿ6

θ = 36×2 + 6

θ = 78°

When n =3

θ = 36n + (-1)ⁿ6

θ = 36×3 - 6

θ = 102°

When n=4

θ = 36n + (-1)ⁿ6

θ = 36×4 + 6

θ = 150

When n =5

θ = 36n + (-1)ⁿ6

θ = 36×5 - 6

θ = 174°

When n = 6

θ = 36n+ (-1)ⁿ6

θ = 36×6 + 6

θ = 222°

When n = 7

θ = 36n + (-1)ⁿ6

θ = 36×7 - 6

θ = 246°

When n =8

θ = 36n + (-1)ⁿ6

θ = 36×8 + 6

θ = 294°

When n =9

θ = 36n + (-1)ⁿ6

θ = 36×9 - 6

θ = 318°

When n =10

θ = 36n + (-1)ⁿ6

θ = 36×10 + 6

θ = 366°

When n = 10 is out of range of θ

Then, the solution is from n =0 to n=9

So the equation have 10 solutions in the range 0<θ<2π

4 0

1 year ago

A group of 10 students participate in chess club, karate club, or neither.

Afina-wow [57]

Total number of students = 10

As we have to find

P(A/B) = Probability( A when B has happend)

P(A/B)= P(A intersection B)/P(B)

According to given figure only yolanda and Rob are in both club

Therefore,P(A intersection B) $=\frac{2}{10}$

Number of student in karate club =6

P(B) $= \frac{6}{10}$

P(A/B) $= \frac{2}{10}\div{\frac{6}{10}$

Converting division into multiplication by reciprocating the term after division

P(A/B) $= \frac{2}{10}\times{\frac{10}{6}$

On solving we get ,

P(A/B) $= \frac{2}{6}$

P(A/B) $=\frac{1}{3}$

P(A/B) $=0.33$

8 1

2 years ago

The weights of cans of Ocean brand tuna are supposed to have a net weight of 6 ounces. The manufacturer tells you that the net w

Arada [10]

Answer:4

Step-by-step explanation:i cant rlly explain

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2 years ago

What is the exponential notation for 262,144

7nadin3 [17]

since there is always a decimal at the end of every value so :

= 262144.0

you move the decimal backwards if there is no decimal between the value. you place the decimal after the 1st digit, you will also count the digits you have passed :

= 2.62144 X 10^5

you passed 5 values so you put 5 in exponent form.

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1 year ago

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If x is directly proportional to y, and x = 3.4 when y = 2, find y when x = 5.1.

Marina CMI [18]

The answer is 3 ..........................

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2 years ago

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