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2 years ago

E) What is the measure of

Mathematics

1 answer:

FromTheMoon [43]2 years ago

5 0

Answer:

I am pretty sure it is 135 degrees, but I still do not know. They don't give you any angles, so I think you're supposed to use a protractor.

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A line has a slope of -6 over 7. What is the slope of the line parallel to it? And what is the slope of the line perpendicular t

olga_2 [115]

The slope of the parallel line is -6/7
the slope of the perpendicular line is 7/6
the slope of the line = -6/7
the gradient of two parallel lines are equal
the product of the gradient of two perpendicular lines is -1
: the gradient m1*m2 = -1
m2= -1(-6/7)
m2= 7/6

3 0

3 years ago

Find the complex fourth roots \[-\sqrt{3}+\iota \] in polar form.

____ [38]

Let $z=-\sqrt3+i$ . Then

$|z|=\sqrt{(-\sqrt3)^2+1^2}=2$

$z$ lies in the second quadrant, so

$\arg z=\pi+\tan^{-1}\left(-\dfrac1{\sqrt3}\right)=\dfrac{5\pi}6$

So we have

$z=2e^{i5\pi/6}$

and the fourth roots of $z$ are

$2^{1/4}e^{i(5\pi/6+k\pi)/4}$

where $k\in\{0,1,2,3\}$ . In particular, they are

$2^{1/4}e^{i(5\pi/6)/4}=2^{1/4}e^{i5\pi/24}$

$2^{1/4}e^{i(5\pi/6+2\pi)/4}=2^{1/4}e^{i17\pi/24}$

$2^{1/4}e^{i(5\pi/6+4\pi)/4}=2^{1/4}e^{i29\pi/24}$

$2^{1/4}e^{i(5\pi/6+6\pi)/4}=2^{1/4}e^{i41\pi/24}$

7 0

3 years ago

Pablo graphs a system of equations. One equation is quadratic and the other equation is linear. What is the greatest number of p

fredd [130]

Answer:

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Maymona book club is ordering new novels, She knows that the total cost of 6 books is $90, and 10 books cost $150. Write an equa

aleksandr82 [10.1K]

Answer:

Y=15x

Step-by-step explanation:

<h2>Okay so let's approach this problem!</h2><h2 />

X is books and Y is total cost

Let's find the slope!

Y2-Y1/ X2-X1

Just replace

$\frac{150 - 90}{10 - 6}$

$\frac{60}{4} = 15$

The slope is 15

$y = 15x + b$

Now replace x and y with coordinates and solve

$150 = 15(10) + b \\ 150 = 150 + b \\ - 150 \\ 0 = b$

The final equation:

y = 15x

That's it! If you have any questions please ask! Brainliest Appreciated.

6 0

2 years ago

Please help me no one even bothers to help so plzzzz i BEGGGGGGGGGGG

user100 [1]

Answer:

Here's what I get.

Step-by-step explanation:

When you dilate an object by a scale factor, you multiply its coordinates by the same number.

If the scale factor is 4, the rule is (x, y) ⟶ (4x, 4y)

Your table then becomes

$\begin{array}{lcl}\textbf{Vertices of}& \, & \textbf{Vertices of}\\\textbf{VWXY}& \, & \textbf{V'W'X'Y'}\\V(-1 ,1) & \quad & V'(-4, 4)\\W(-1, 2) & \quad & W'(-4, 8)\\X(2, -1) & \quad & X'(8 ,-4)\\Y(2, 2) & \quad & Y'(8, 8)\\\end{array}$

The diagram below shows figure VVXY as a green bow-tie and its image V'W'X'Y' in orange.

The scale factor is greater than one, so the dilation is an enlargement.

7 0

3 years ago