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2 years ago

The conjugate is used in _____ of complex numbers.

Mathematics

2 answers:

creativ13 [48]2 years ago

8 0

A. quadratic i’m pretty sure

Nikolay [14]2 years ago

7 0

Quadratic is the correct answer.

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Lilliana is training for a marathon. She runs the same distance every day for a week. On Monday, Wednesday, and Friday, she runs

iren2701 [21]

Answer:

Letting L = distance per lap

4L + 8 = 6L + 4

2L = 4

L = 2 miles

She runs 16 miles each day

2 miles per Lap = 8 Laps on Saturday

Step-by-step explanation:

3 0

2 years ago

I need help on my trig can someone help me on the question please and thank you

IRINA_888 [86]

Answer:

210 degrees

Step-by-step explanation:

Convert the problem from radians to degrees using the ratio 180/ and it will give you 210.

6 0

2 years ago

What is the term, coefficient, constant, and factor of 1/2(base1 + base2)h? (Formula used to find area of trapezoid)

vovangra [49]

Answer:

i. Term = $\frac{b_{1}h }{2}$ + $\frac{b_{2}h }{2}$

ii. Coefficient = $\frac{1}{2}$

iii. Constant = $\frac{1}{2}$

iv. Factor = $\frac{h}{2}$

Step-by-step explanation:

A trapezoid is a quadrilateral which has its base parallel to the opposite side. It's area can be determined by;

Area of trapezium = $\frac{1}{2}$ ( $b_{1}$ + $b_{2}$ )h

Where $b_{1}$ is the measure of length of its fist base, $b_{2}$ is the measure of its second base and h is its height.

Considering the given question,

Term = $\frac{b_{1}h }{2}$ + $\frac{b_{2}h }{2}$

Coefficient = $\frac{1}{2}$

Constant = $\frac{1}{2}$

Factor = $\frac{h}{2}$

6 0

2 years ago

0 of 10

Aleksandr-060686 [28]

Answer:

1038

Step-by-step explanation:

you add 308 and 730

4 0

3 years ago

Find, correct to four decimal places, the length of the curve of intersection of the cylinder 16x2 + y2 = 16 and the plane x + y

Yuri [45]

Let the curve C be the intersection of the cylinder

$16x^2+y^2=16$

and the plane

$x+y+z=1$

The projection of C on to the x-y plane is the ellipse

$16x^2+y^2=16$

To see clearly that this is an ellipse, le us divide through by 16, to get

$\frac{x^2}{1}+ \frac{y^2}{16}=1$

$\frac{x^2}{1^2}+ \frac{y^2}{4^2}=1$ ,

We can write the following parametric equations,

$x=cos(t), y=4sin(t)$

for

$0\le t \le 2\pi$

Since C lies on the plane,

$x+y+z=1$

it must satisfy its equation.

Let us make z the subject first,

$z=1-x-y$

This implies that,

$z=1-sin(t)-4cos(t)$

We can now write the vector equation of C, to obtain,

$r(t)=(cos(t),4sin(t),1-cos(t)-4sin(t))$

The length of the curve of the intersection of the cylinder and the plane is now given by,

$\int\limits^{2\pi}_0 {|r'(t)|} \, dt$

But

$r'(t)=(-sin(t),4cos(t),sin(t)-4cos(t))$

$|r'(t)|=\sqrt{(-sin(t))^2+(4cos(t))^2+(sin(t)-4cos(t))}$

$\int\limits^{2\pi}_0 {\sqrt{2sin^2(t)+32cos(t)-8sin(t)cos(t)} }\, dt=24.08778184$

Therefore the length of the curve of the intersection intersection of the cylinder and the plane is 24.0878 units correct to four decimal places.

6 0

3 years ago