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3 years ago

What rule describes the rotation about the origin? ( x,y)

Mathematics

2 answers:

Oksi-84 [34.3K]3 years ago

5 0

Answer:

(x, y) -> (-x,-y) and 180

Step-by-step explanation:

right of ed2020

gogolik [260]3 years ago

3 0

Answer:

(x, y) -> (-x,-y)

180

Step-by-step explanation:

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Which graph represents y = StartRoot x minus 4 EndRoot?

ozzi

The answer is for a fact c

3 0

2 years ago

Which equation represents the line that is perpendicular to and passes through (-12,6)?.

Evgesh-ka [11]

The equation that represents the line that is perpendicular is

3y + 5x = -42

The standard equation of a line in point-slope form is expressed as:

$y-y_1=m(x-x_1)$

m is the slope of the lne

(x1, y1) is any point on the line.

Given the equation y = 3/2x + 1, the slope of the line is 3/5

The s<u>lope of the line perpendicular</u> is -5/3

Substitute the point (-12, 6) and the slope m = -5/3 into the equation above to have:

$y-6=-5/3(x-(-12))\\3(y-6)=-5(x+12)\\3y-18=-5x-60\\3y = -5x - 60 + 18\\3y + 5x = -42\\$

Hence the equation that represents the line that is perpendicular is

3y + 5x = -42

Learn more on equation of a line here:brainly.com/question/19417700

7 0

2 years ago

Find the integer that lies between <img src="https://tex.z-dn.net/?f=%24%5Csqrt%5B3%5D%7B-45%7D%24%20and%20%24%5Csqrt%5B3%5D%7B-

Romashka-Z-Leto [24]

∛(-45) = ∛((-1) × 45) = ∛(-1) × ∛45 = -∛45

Similarly,

∛(-101) = - ∛101

Now,

• 3³ = 27 and 4³ = 64, and 27 < 46 < 64, so ∛27 < ∛45 < ∛64, which places ∛45 between 3 and 4

• 5³ = 125, so ∛101 would similarly fall between 4 and 5

So to summarize, we have

3 < ∛45 < 4 < ∛101 < 5

so that

-5 < ∛(-45) < -4 < ∛(-101) < -3

so the integer between these numbers is -4.

4 0

3 years ago

Which value or in the solution set of the inequality − 2/3 x + 13 ≥ − 1

Svetach [21]

Answer:

x $\leq$ 21

Step-by-step explanation:

(-2/3)x+13≥ -1

(-2/3)x≥ -14 (I subtracted by 13 on both sides)

x $\leq$ -14*(-3/2) (I divided by -2/3 on both sides)

x $\leq$ 21

5 0

3 years ago

<img src="https://tex.z-dn.net/?f=the%20%5C%3A%20angle%20%5C%3A%20of%20%5C%3A%20measure%20%5C%3A%20%20%5Cfrac%7B31%5Cpi%7D%7B6%7

Yakvenalex [24]

Answer:

3rd quadrant

Step-by-step explanation:

First we just convert the angle from radians to degrees
$\frac{31\pi radians }{6}*\frac{180degrees}{\pi radians} =\frac{31*180}{6} degrees=930degrees$
Now that's too big, all this means is if we start rotating from the positive y-axis in a circle we will cross the starting point 2 times, 2 full circles;
$930degrees-360degrees=570degrees\\570degrees-360degrees=210degrees$
Now in which quadrant it 210 degrees?
0 degrees to 90 degrees is 1st quadrant
90 degrees to 180 degrees is 2nd quadrant
180 degrees to 270 degrees is 3rd quadrant
270 degrees to 360 degrees is 4th quadrant
So our answer is the 3rd quadrant.

7 0

2 years ago