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Lostsunrise [7]
3 years ago
11

Rewrite 7+ square root-121 in complex number notation

Mathematics
1 answer:
marin [14]3 years ago
6 0

7 + \sqrt{-121} = 7 + 11i because we define \sqrt{-1} = i

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What is the rational number equivalent to 3.24​
aev [14]

Answer:

The rational number equivalent to 3.24 repeating is 321/99

Step-by-step explanation:

To convert the decimal number to a rational number we can state this number and its multiples of 10, trying to find two number with identical decimal parts:

n=3.24242424...

10n=32.4242424....

100n=324.2424242...

Now, 100n and n have the same decimal part, then by subtracting these numbers we obtain:

100n-n=324.24242424...-3.24242424... = 321

99n  = 321

n = 321/99

8 0
3 years ago
What is the volume of the fuigure.​
Elanso [62]

Answer:

volume = 504

Step-by-step explanation:

the basic formula for volume is length × width

14 x 3 x 3 x 2 x 2 = 504

4 0
2 years ago
1. Write the standard form of the line that passes through the given points. (7, -3) and (4, -8)
Sveta_85 [38]

Answer:

1. -5x+3y+44=0

2. 2x+y-2=0

3. 2x+y-4=0

Step-by-step explanation:

Standard form of a line is Ax+By+C=0.

If a line passing through two points then the equation of line is

y-y_1=m(x-x_1)

where, m is slope, i.e.,m=\dfrac{y_2-y_1}{x_2-x_1}.

1.

The line passes through the points (7,-3) and (4,-8). So, the equation of line is

y-(-3)=\dfrac{-8-(-3)}{4-7}(x-7)

y+3=\dfrac{-5}{-3}(x-7)

y+3=\dfrac{5}{3}(x-7)

3(y+3)=5(x-7)

3y+9=5x-35

-5x+3y+9+35=0

-5x+3y+44=0

Therefore, the required equation is -5x+3y+44=0.

2.

We need to find the equation of the line, in standard form, that has a y-intercept of 2 and is parallel to 2 x + y =-5.

Slope of the line : m=\dfrac{-\text{Coefficient of x}}{\text{Coefficient of y}}=\dfrac{-2}{1}=-2

Slope of parallel lines are equal. So, the slope of required line is -2 and it passes through the point (0,2).

Equation of line is

y-2=-2(x-0)

y-2=-2x

2x+y-2=0

Therefore, the required equation is 2x+y-2=0.

3.

We need to find the equation of the line, in standard form, that has an x-intercept of 2 and is parallel to 2x + y =-5.

From part 2, the slope of this line is -2. So, slope of required line is -2 and it passes through the point (2,0).

Equation of line is

y-0=-2(x-2)

y=-2x+4

2x+y-4=0

Therefore, the required equation is 2x+y-4=0.

5 0
3 years ago
NEED HELP ASAP TAKING TEST-On average, a person’s body temperature should be approximately 98.6°F. A doctor would like to test t
alexgriva [62]

Answer:

D I think,

Step-by-step explanation:

5 0
3 years ago
Find the area of the triangle if A=1/2bh
Yanka [14]
A= 12x-4(3x+2)/2. 36x2+24x-12x-8. 36x2+12x-8/2. 18x2+6x-4.
5 0
3 years ago
Read 2 more answers
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