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ivann1987 [24]
3 years ago
8

Combine and simplify the following radical expression. 2/3 3r5

Mathematics
1 answer:
Dimas [21]3 years ago
8 0
The answer is 2 radical 5
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Find the area of the shaded region
goldfiish [28.3K]

Answer:

38x² - 17x - 3

Step-by-step explanation:

The area of the shaded region is calculated as

area of outer rectangle - area of white rectangle, that is

(8x + 1)(5x - 3) - 2x(x - 1) ← expand (8x - 1)(5x - 3) using FOIL

= 40x² - 24x + 5x - 3 - 2x² + 2x ← collect like terms

= 40x² - 17x - 3

5 0
4 years ago
What are the roots of the equation 9x^2 + 54x +82 = 0 in simplest a + bi form?​
s344n2d4d5 [400]

Answer:

The roots are

<h3>x =  - 3 +  \frac{1}{3}  i \:  \:  \: or \:  \:  \: x =  - 3 -  \frac{1}{3} i \\</h3>

Step-by-step explanation:

9x² + 54x + 82 = 0

Using the quadratic formula

That's

<h3>x =  \frac{ - b\pm \sqrt{ {b}^{2}  - 4ac} }{2a}</h3>

From the question

a = 9 , b = 54 , c = 82

Substitute the values into the above formula and solve

That's

<h3>x =  \frac{ - 54\pm \sqrt{ {54}^{2}  - 4(9)(82)} }{2(9)}  \\ x =  \frac{ - 54\pm \sqrt{2916 - 2952} }{18}  \\ x =  \frac{ - 54\pm \sqrt{ - 36} }{18}  \\ x =  \frac{ - 54\pm 6i}{18}</h3>

Separate the real and imaginary parts

That's

<h3>x =  -  \frac{54}{18} \pm \frac{6}{18}  \: i \\ x =  - 3\pm \frac{1}{3} i</h3>

We have the final answer as

<h3>x =  - 3 +  \frac{1}{3}  i \:  \:  \: or \:  \:  \: x =  - 3 -  \frac{1}{3} i \\</h3>

Hope this helps you

5 0
3 years ago
Quadrilateral W X Y Z is shown. Diagonals are drawn from point W to point Y and from point Z to point X and intersect at point C
Nitella [24]

Answer:

x=13

Step-by-step explanation:

I just did it on edge

5 1
3 years ago
Read 2 more answers
In X+3(X+4)=20 you distribute the 3 to the x and 4 but what happens to that 3 afterwards
belka [17]
It is a linear simple equation, lets solve it step by step:
<span>X + 3(X + 4) = 20
x + 3x + 3*4 = 20
4x + 12 = 20
4x = 20 - 12
4x = 8
x = 8/4
x = 2</span>
7 0
3 years ago
Which number is the numerator in the fraction 1/2
VladimirAG [237]

Answer:

1

Step-by-step explanation:

The denominator is the bottom number, and represents how many parts are possible—in other words, how many parts go into a whole. The numerator is the top number, and represents how many parts you have.

\frac{Numerator}{Denominator}

4 0
3 years ago
Read 2 more answers
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