A book club offers a choice of 8 books from a list of 40. In how many can a member make a collection?

the equation of line cd is y = 3x − 3. write an equation of a line perpendicular to line cd in slope-intercept form that contain

liberstina [14]

Answer:

The required equation is $y=-\frac{1}{3}x+2$ .

Step-by-step explanation:

The equation of line cd is

$y=3x-3$

Slope intercept form of a line is

$y=mx+b$

Where, m is slope and b is y-intercept.

Slope of line cd is 3.

The product of slopes of two perpendicular lines is -1.

$m_1\times m_2=-1$

$3\times m_2=-1$

$m_2=-\frac{1}{3}$

Therefore slope of perpendicular line is $-\frac{1}{3}$ .

Point slope form of a line is

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

Slope of perpendicular line is $-\frac{1}{3}$ and line passing through the point (3,1).

$y-1=-\frac{1}{3}(x-3)$

$y=-\frac{1}{3}x+1+1$

$y=-\frac{1}{3}x+2$

Therefore the required equation is $y=-\frac{1}{3}x+2$ .

4 0

3 years ago

Read 2 more answers

Help pls this is my first question on here and I need help with this pls. I will give you the brainliest and a thanks!! :)) Can

docker41 [41]

Answer:

1. 18.85in

4. 25.13m

Step-by-step explanation:

I got you

So to find the circumference of any circle we use the equation 2pi(r)

2(3.1415)(3)= 18.85in for the first one because radius is half of the diameter which is 6 so half of 6 is 3

For 4. 4m is actually the radius so just plug that into the equation 2pi(4)=25.13m

4 0

3 years ago

alexdok [17]

Simran's Journey was 35 minutes less on Thursday as compared to Wednesday

<h3>What is a Distance - Time Graph ?</h3>

Distance Time graph is the relationship between the distance travelled in the respective time on the x axis.

Two distance time graph is given

The Wednesday graph shows the time taken by Simran is

Total Time = 40 minutes

and

The Thursday graph shows the time taken by Simran is

Total Time = 5 minutes

Therefore Simran's Journey was 40-5 , 35 minutes less on Thursday as compared to Wednesday

To know more about Distance - Time Graph

brainly.com/question/13269893

#SPJ1

6 0

2 years ago

Find the sum of the series given in sigma notation.

Kryger [21]

Answer:

Option b is correct 175

Step-by-step explanation:

n = 7

k = 6

3k -2 ------1

put k = 6 in above eq. for finding first term

a1 = 3(6) - 2 = 18 - 2 = 16

put k = 7 in above eq. for finding first term

a2 = 3(7) - 2 = 21 - 2 = 19

a3 = 3 (8) - 2 = 24 - 2 = 22

16, 19 , 22, ... //Arithmetic series formation

a1 = 16 , a2 = 19

d = a2 - a1 = 19 - 16 = 3 //Difference of first two terms

Using sum forumula for arithmetic series

sum = $\frac{n}{2}(2a1 + (n-1)d)$

= $\frac{7}{2}(2a1 + (7-1)d)$

= $\frac{7}{2}(2(16) + (6)3)$

= $\frac{7}{2}(32 + 18)$

= $\frac{7}{2}(50)$

= 7 * 25

= 175

4 0

3 years ago

I don’t understand Please help!

AlekseyPX

Answer:

The answer is water.........

5 0

3 years ago