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3 years ago

The real number part of the complex numbers -5+3i

Mathematics

1 answer:

Alisiya [41]3 years ago

6 0

Answer:

Real part = -5

Step-by-step explanation:

The real part of a complex number of the form a+bi, is that which doesn't have the "i" (imaginary unit) factor. therefore the real part is "a"

In this case (-5+3i) the real part is -5.

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I need help with this math homework.. someone please help

tatuchka [14]

A rotation would also give you this transformation.
You could do a 90 degree counter-clockwise or a 270 degree clockwise

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3 years ago

An isosceles triangle has angle measures 50°, 50°, and 80°. The side across from the 80° angle is 10 inches long. How long are t

djverab [1.8K]

Answer: The value of other side is 7.8 inch.

Explanation:

It is given that the isosceles triangle has angle measures 50°, 50°, and 80°. The side across from the 80° angle is 10 inches long.

Let the given length of other equal sides be x.

The side across from the 50° angle is x inches long.

Law of sine,

$\frac{a}{\sin A}= \frac{b}{\sin B} =\frac{c}{\sin C}$

$\frac{x}{\sin (50)}= \frac{10}{\sin (80)}$

$\frac{x}{0.766} =\frac{10}{0.9848}$

$x =\frac{10}{0.9848}\times (0.766)$

$x =7.778229 \approx 7.8$

Therefore, the value of other side is 7.8 inch.

3 0

3 years ago

Read 2 more answers

If the sum of the legs of a right triangle is 49 inches and the hypotenuse is 41 inches, find the length of the other two sides

german

The length of one leg is x inches.
The sum of the legs is 49 inches, so the length of the other leg is 49-x inches.
The length of the hypotenuse is 41 inches.

Use the Pythagorean theorem:
$(\hbox{one leg})^2 + (\hbox{the other leg})^2=(\hbox{hypotenuse})^2 \\ x^2+(49-x)^2=41^2 \\
x^2+2401-98x+x^2=1681 \\
2x^2-98x+2401=1681 \ \ \ |-1681 \\
2x^2-98x+720=0 \\ \\
a=2 \\ b=-98 \\ c=720 \\ b^2-4ac=(-98)^2-4 \times 2 \times 720=9604-5760=3844 \\ \\
x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}=\frac{-(-98) \pm \sqrt{3844}}{2 \times 2}=\frac{98 \pm 62}{4} \\
x=\frac{98-62}{4} \ \lor \ x=\frac{98+62}{4} \\
x=\frac{36}{4} \ \lor \ x=\frac{160}{4} \\
x=9 \ \lor \ x=40$

$
49-x=49-9 \ \lor \ 49-x=49-40 \\
49-x=40 \ \lor \ 49-x=9$

The lengths of the legs are 9 inches and 40 inches.

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4 years ago

What is the sulotion of 3^2-[3-4(8-2^2]^2

dangina [55]

Answer:

Step-by-step explanation:

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3 years ago

Can someone Please answer some of these questions Please ASAP Thank you:)) (20 points)

Kryger [21]

Answer:

for #1 it's 1, 4, 5, 6

for #2 it's both lines have the same slope

for #3 it's both lines have a different y-intercept

Step-by-step explanation:

#1 explanation: all of them have the y-intercept of -8

ex. y = 3x (- 8) y = 5x (-8) y = 2x (-8) y = (1/3)x (-8)

#2 explanation: both have a slope of (1/4)

#3 explanation: y = (1/4)x there is not y-intercept that we know of and y = (1/4)x - 5 the y-intercept is at -5 therefore the y-intercepts are different

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3 years ago