All categories

3 years ago

9. A line has a slope of zero. Which of the

Mathematics

2 answers:

quester [9]3 years ago

6 0

Answer is B, -6 - -6 = 0 7-3=4 0/4 =0

A’s slope has no meaning

C’s slope is 1

D’s slope is -14/-18

guapka [62]3 years ago

5 0

Answer:

Answer is option B.

B. (3,-6) and (7,-6)

Step-by-step explanation:

Slope = change in y / change in x

Slope = (y2-y1)/(x2-x1)

For slope to be zero. i.e

0 = (y2-y1)/(x2-x1)

Cross multiple

0*(x2-x1) = (y2-y1)

(y2-y1) = 0.

Implies that slope of a line will be zero when change is y is zero.

So let examine all the line points in our options to determine our answer.

A. (12, 9) and (12,6)

(y2-y1) = 6 - 9 = -3

B. (3,-6) and (7,-6)

(y2-y1) = -6 - (-6) = -6+6 = 0

C. (1,4) and (2,5)

(y2-y1) = 5 - 4 = 1

D. (-9,7) and (9,-7)

(y2-y1) = -7 - 7 = -14

Haven examine our option, we see that our change in y is zero for option B, therefore at point (3,-6) and (7,-6) the slope is zero

You might be interested in

A digital scale measures weight to the nearest 0.2 pound. Which measurements shows an appropriate level for the scale ?

Ilia_Sergeevich [38]

Answer: Answer choices 1, 3, 4

Step-by-step explanation:

As long as it ends in .0, .2, .4, .6, or .8 it's fine. Therefore the first and last 2 work, since 0.2 can end in either of those 5 values.

Hope that helped,

-sirswagger21

8 0

3 years ago

Evaluate the surface integral. S xz ds, s is the part of the plane 2x 2y z = 4 that lies in the first octant

maksim [4K]

The value of the given surface integral is 4.

The given plane intercepts the coordinate axes at (2, 0, 0), (0, 2, 0), and (4, 0, 0). These point are the coordinates of a triangular region that we can parameterize using.

$S(u,v)=(1-u)((1-u)(2,0,0)+u(0,2,0)+u(4,0,0)\\S(u,v)=(2(1-u)(1-v),2u(1-v),4v)$

<h3>What is the surface integral?</h3>

A surface integral is a generalization of multiple integrals to integration over surfaces. It can be thought of as the double integral analog of the line integral. Given a surface, one may integrate a scalar field over the surface or a vector field.

with 0≤u≤1 and 0≤v≤1. Then the surface element ds is equivalent to

$ds=\||\:\left(s_u\times \:\:S_v\right)||dudv=12\left(1-v\right)dudv$

The surface integral is then

$\int \:\int \:_Sxzds=12\int _0^1\:\int _0^1\:\left(2\left(1-u\right)\left(1-v\right),2u\left(1-v\right),4v\right)dvdu=4$

Therefore the value of the given surface integral is 4.

To learn more about the integral visit:

brainly.com/question/14295614

#SPJ2

6 0

2 years ago

What is the difference?

Leokris [45]

11/18 is the correct answer:))

6 0

2 years ago

Read 2 more answers

Thirty coins,all dimes and nickels,are worth $2.60. How many nickels are there?

quester [9]

Answer: 12 nickels

Step-by-step explanation:

4 0

3 years ago

A radio manufacturer believes that the length of life of WPPX model radio is normal with µ=12 years and σ=2.5 years. (a) What pe

kicyunya [14]

Answer:

(a) 5.48%

(b) 17.82 years

(d) 15.21 years

Step-by-step explanation:

z = (x-μ)/σ,

where

x is the raw score

μ is the population mean

σ is the population standard deviation.

µ=12 years and σ=2.5 years.

(a) What percent of the radios will function for more than 16 years?

For x = 16

z = 16 - 12/2.5

z = 1.6

Probability value from Z-Table:

P(x<16) = 0.9452

P(x>16) = 1 - P(x<16)

1 - 0.9452

= 0.054799

Converting to percentage = 0.054799 × 100

= 5.4799%

Approximately = 5.48%

(b) Suppose the company decides to replace 1% of the radios. Find the length of the guarantee period. i.e. find X.

find the z score of the 99th percentile = 2.326

Hence:z = (x-μ)/σ

2.326 = x - 12/2.5

Cross Multiply

2.326 × 2.5 = x - 12

5.815 = x - 12

x = 12 + 5.815

x = 17.815

Approximately = 17.82 years

When x < 10

Hence,

z = 10 - 12/2.5

z = -0.8

Probability value from Z-Table:

P(x<10) = 0.21186

Converting to percentage

0.21186 × 100

= 21.186%

Approximately = 21.19%

(d) If 10% of the radios will function for more than X years, find X.

The z score would be : 100 - 10%

= 90th percentile z score

We find the z score of the 90th percentile = 1.282

Hence:z = (x-μ)/σ

1.282 = x - 12/2.5

Cross Multiply

1.282 × 2.5 = x - 12

3.205 = x - 12

x = 12 + 3.205

x = 15.205

Approximately = 15.21 years

4 0

3 years ago