What angle (in radians) corresponds to 0.75 rotations around the unit circle?

The quadrilateral shown is rotated 90 degrees clockwise about the origin. In which quadrant is the image of the quadrilateral lo

iren2701 [21]

Answer:

Option (2). 1

Step-by-step explanation:

Coordinates of point A, B, C and D are,

A(-4, 4), B(-2, 4), C(-2, 1) and D(-4, 3).

Quadrilateral ABCD when rotated 90° clockwise about the origin,

Rule for the rotation of the vertices,

(x, y) → (y, -x)

Following the rule of rotation coordinates of the image points,

A(-4, 4) → A'(4, 4)

B(-2, 4) → B'(4, 2)

C(-2, 1) → C'(1, 2)

D(-4, 3) → D'(3, 4)

Since all image points have the positive coordinates (x and y coordinates), image quadrilateral A'B'C'D' will be located in 1st quadrant.

Option (2) is the correct option.

that is the answer if it's wrong then it must of been wrong question I gave answer to or I just got it wrong

4 0

3 years ago

1) The standard form of a linear equation is written as .

Helen [10]

Answer:

$\displaystyle y=-\frac{a}{b}x+\frac{c}{b}$

Step-by-step explanation:

The equation of the line, expressed in slope-intercept form is:

$y=mx+y_o$

Where m the slope and yo the y-intercept.

Since we are given the line in standard form:

ax+by=c

To find the slope-intercept form, we just solve it for y:

$\boxed{\displaystyle y=-\frac{a}{b}x+\frac{c}{b}}$

Comparing the last equation with the slope-intercept form:

$\displaystyle m=-\frac{a}{b}$

$\displaystyle y_o=\frac{c}{b}$

4 0

3 years ago

Can u plz add these together.

Rainbow [258]

Answer:

1. -3

2. 7

3. -2

4. 3

Step-by-step explanation:

1. idk

2. 3.2 move 3b over to get 3.2-3b-4.7=-3.3 move 4.7 over to get

3.2b-3b=4.7-3.3 now 3.2b-3b=.2b and 4.7-3.3=1.4 .2b/.2=b 1.4/.2=7 so b=7

3. 4.6y-y+4=y-1.2 now switch the 4 and the y to read 4.6y-2y=-4-1.2

2.6y=-5.2 divide both sides by 2.6 to get y=-2

4. 7.5c-2.5c+8=-7 move 8 to other side to get 7.5c-2.5c=-8-7

5c=-15 divide both sides by 5 getting c=3

5 0

3 years ago

Y varies inversely as x, and y = 50 when x = 10. What is the value of y when x = 20? 100

Blizzard [7]

100 because of the system

have a good day

8 0

3 years ago

Read 2 more answers

The overhead reach distances of adult females are normally distributed with a mean of 205 cm and a standard deviation of 8.3 cm.

Gre4nikov [31]

a. Find the probability that an individual distance is greater than 214.30 cm

We find for the value of z score using the formula:

z = (x – u) / s

z = (214.30 – 205) / 8.3

z = 1.12

Since we are looking for x > 214.30 cm, we use the right tailed test to find for P at z = 1.12 from the tables:

P = 0.1314

b. Find the probability that the mean for 20 randomly selected distances is greater than 202.80 cm

We find for the value of z score using the formula:

z = (x – u) / s

z = (202.80 – 205) / 8.3

z = -0.265

Since we are looking for x > 202.80 cm, we use the right tailed test to find for P at z = -0.265 from the tables:

P = 0.6045

c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30?

I believe this is because we are given the population standard deviation sigma rather than the sample standard deviation. So we can use the z test.

7 0

3 years ago