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2 years ago

Simplify (1 − 4i) − (6 + 9i).

Mathematics

1 answer:

ss7ja [257]2 years ago

8 0

Answer: -5-13i

Work Shown:

(1-4i) - (6+9i) = 1-4i-6-9i

(1-4i) - (6+9i) = (1-6) + (-4i-9i)

(1-4i) - (6+9i ) = -5 - 13i

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<img src="https://tex.z-dn.net/?f=%5Csqrt%7B%20x%5E%7B2%7D-10x%2B25%7D%2B25%2B12%5Csqrt%7Bx%7D%20%3D15%5Csqrt%7Bx%7D" id="TexFor

vodomira [7]

Step-by-step explanation:

$\sqrt{ x^{2}-10x+25}+25+12\sqrt{x} =15\sqrt{x} \\ \\ \therefore \: \sqrt{ x^{2}-10x+ {5}^{2} }+25 =15\sqrt{x} - 12\sqrt{x}\\ \\ \therefore \: \sqrt{( x - 5)^{2}}+25 =3\sqrt{x} \\ \\ \therefore \: x - 5+ 25 = 3 \sqrt{x} \\ \\ \therefore \: x + 20 = 3 \sqrt{x} \\ \\ squaring \: both \: sides \\ (x + 20)^{2} = ( {3 \sqrt{x} })^{2} \\ \therefore \: {x}^{2} + 40x + 400 = 9x \\ \therefore \: {x}^{2} + 40x + 400 - 9x = 0 \\ \therefore \: {x}^{2} + 31x + 400 = 0 \\$

8 0

3 years ago

Find slope and y intercept please urgent helppp

Arlecino [84]

Answer:

...

Step-by-step explanation:

slope= -4/3

y-intercept= -4

y=mx+b

y= -4/3x-4

4 0

3 years ago

A ramp leads up to a building. The top of the ramp is 6 feet above the ground, and the bottom is 16 feet. What is the length of

andre [41]

We could use the Pythagorean theorem for this kind of problem I think:
A^2 + B^2 = C^2
6^2 + 16^2 = C^2
36 + 256 = C^2
292 = C^2
17.08 = C
C = 17.1 to the nearest tenth
Sorry if it’s wrong and glad I could help if it’s right ❤️❤️ Take care!

7 0

2 years ago

Identify the independent and dependent quantities from the function’s verbal description. What is the independent quantity, and

ad-work [718]

Question:

What is the independent quantity, and which variable should represent it?

Answer:

They're independent of everything else. The dependent variable (sometimes known as the responding variable) is what is being studied and measured in the experiment. It's what changes as a result of the changes to the independent variable. An example of a dependent variable is how tall you are at different ages.

Explanation:

The two main variables in an experiment are the independent and dependent variable. An independent variable is the variable that is changed or controlled in a scientific experiment to test the effects on the dependent variable. A dependent variable is the variable being tested and measured in a scientific experiment. The dependent variable is the one that depends on the value of some other number. ... Another way to put it is the dependent variable is the output value and the independent variable is the input value. So for y=x+3, when you input x=2, the output is y = 5. An experiment usually has three kinds of variables: independent, dependent, and controlled. The independent variable is the one that is changed by the scientist. Independent variable – the variable that is altered during a scientific experiment. Dependent variable – the variable being tested or measured during a scientific experiment. Controlled variable – a variable that is kept the same during a scientific experiment.

Note:

Sorry i'm 5 days Late, But i hope this clears up any confusion for anyone!

5 0

3 years ago

Read 2 more answers

What is the best approximation for the area of a circle diameter of 19 m?

Maslowich

The formula for an area of a circle is
A=pi times radius squared

there for you do pi times 9.5 to the power of two/squared (radius is half of the diameter so 19 divided by 2 is 9.5)

pi times 9.5 squared
= 283.5

I rounded to the nearest tenths

7 0

3 years ago