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3 years ago

Can someone please explain how to do the complex algebraic equation? I couldn't find any answers online

1 answer:

3 0

A complex equation is an equation that involves complex numbers when solving it. For example, <4+3i> is a complex number. The 4 or a part is the real part of the number and the 3i or b part is the imaginary part of the number.

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Solve each equation using an equation mat or inverse operation. <br><br>P+1/4=2 2/3

Natasha2012 [34]

The answer is p= 29/12

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3 years ago

65 divide into 8,0000

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3 years ago

The length of a rectangle is 5 yd more than double the width, and the area of the of the rectangle is 42 yd to the second power

yanalaym [24]

Answer:

The answer to your question is l = 12 and w = 7/2 or 3.5

Step-by-step explanation:

Data

length = l

width = w

Area = 42 yd²

Process

1) Write equations that help to solve this problem

Area = length x width = l x w

Length = 2width + 5 or l = 2w + 5

2) Substitution

42 = lw Equation l

l = 2w + 5 Equation ll

42 = (2w + 5)w Substitute equation ll in l

3.- Expand

42 = 2w² + 5w

2w² + 5w - 42 = 0

Solve the equation by factoring

-Multiply 2 by 42

2 x 42 = 84

-Find the prime factors of 84

84 = 2² 3 7

-Find two numbers that added gives +5 using the prime factors

These numbers are +12 and -7

-Substitute the values in the equation

2w² -7w + 12w - 42

-Factor by grouping

w(2w - 7) + 6(2w - 7)

(2w - 7)(w + 6)

-Find w

2w₁ - 7 = 0 w₂ + 6 = 0

w₁ = 7/2 w₂ = -6 This value is discarted because

there are no negative values

-Find l

l = 2(7/2) + 5

l = 7 + 5

l = 12

7 0

3 years ago

Does the point (-4, 2) lie inside or outside or on the circle x^2 + y^2 = 25?<br>

Lostsunrise [7]

Given equation of the Circle is ,

$\sf\implies x^2 + y^2 = 25$

And we need to tell that whether the point (-4,2) lies inside or outside the circle. On converting the equation into Standard form and determinimg the centre of the circle as ,

$\sf\implies (x-0)^2 +( y-0)^2 = 5 ^2$

Here we can say that ,

• Radius = 5 units

• Centre = (0,0)

Finding distance between the two points :-

$\sf\implies Distance = \sqrt{ (0+4)^2+(2-0)^2} \\\\\sf\implies Distance = \sqrt{ 16 + 4 } \\\\\sf\implies Distance =\sqrt{20}\\\\\sf\implies\red{ Distance = 4.47 }$

Here we can see that the distance of point from centre is less than the radius.

Hence the point lies within the circle .

3 0

2 years ago

Read 2 more answers

If the area of a circular pool is 300 square yards, what is its radius?

elixir [45]

Answer:

<h2>radius = 9.77 yards</h2>

Step-by-step explanation:

Since the pool is circular

Area of a circle = πr²

where

r is the radius

From the question

Area = 300 square yards

To find the radius substitute the value of the area into the above formula and solve for the radius

That's

300 = πr²

Divide both sides by π

We have

${r}^{2} = \frac{300}{\pi}$

Find the square root of both sides

That's

$r = \sqrt{ \frac{300}{\pi} }$

r = 9.7720502

We have the final answer as

<h3>radius = 9.77 yards</h3>

Hope this helps you

4 0

3 years ago