All categories

3 years ago

Find the slope of the line given two points:

Mathematics

1 answer:

vesna_86 [32]3 years ago

4 0

Answer:

<h3>The answer is option C</h3>

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

$m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(8, 10) and (-7, 14)

The slope is

$m = \frac{14 - 10}{ - 7 - 8} = \frac{4}{ - 15} = - \frac{4}{15} \\$

We have the final answer as

$- \frac{4}{15} \\$

Hope this helps you

You might be interested in

Suppose that the probability that any particle emitted by a radioactive material will penetrate a certain shield is 0.01. If 10

AnnyKZ [126]

Answer:

a)P=0.42

b) $n\geq 297$

Step-by-step explanation:

We have a binomial distribution, since the result of each experiment admits only two categories (success and failure) and the value of both possibilities is constant in all experiments. The probability of getting k successes in n trials is given by:

$P=\begin{pmatrix}n\\ k\end{pmatrix} p^k(1-p)^{n-k}=\frac{n!}{k!(n!-k!)}p^k(1-p)^{n-k}$

a) we have k=2, n=10 and p=0.01:

$P=\frac{10!}{2!(10!-2!)}0.01^2(1-0.01)^{10-2}\\P=\frac{10!}{2!*8!}0.01^2(0.99)^{8}\\P=45*0.01^2(0.99)^8=0.42$

b) We have, $1-(1-p)^n=P$ , Here P is the probability that at least one particle will penetrate the shield, this probabity has to be equal or greater than 0.95. Therefore, this will be equal to subtract from the total probability, the probability that the particles do not penetrate raised to the total number of particles.

$1-0.99^n\geq 0.95\\0.99^n\leq 1-0.95\\0.99^n\leq 0.05\\n\geq 297$

4 0

3 years ago

Solve for y. <br> 196= 143-y

erik [133]

Answer:

y=339

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

A mirror should be centered on a wall. The mirror is 36 inches wide and the wall is 18 feet wide. Which equation helps determine

Lera25 [3.4K]

Linear equation is the equation in which the highest power of the unknown variable is always 1.The equation which helps determine the distance x on each side of the mirror is ,

$x+3+x=18$ .

<h3>Given information-</h3>

The length of the mirror is 36 inches.

The length of the wall is 18 feet.

The linear equation has to find out for the distance <em>x.</em>

<em />

<h3>Linear equation-</h3>

Linear equation is the equation in which the highest power of the unknown variable is always 1.

As one feet is equal to the 12 inches. Thus the length $l$ of the mirror in the feet is,

$l=\dfrac{36}{12}$

$l=3$

The mirror is 3 feet wide.

The distance on each side of the mirror is <em>x. </em>This distance is equal at both side as the mirror is centered. The distance on each side of the mirror is,

$=x+x$ .

Now the the wall is 18 feet wide which is equal to the distance each side of the mirror and the distance of the mirror. As the mirror is 3 feet wide. Thus the equation which determine the distance x on each side of the mirror can be given as,

$x+3+x=18$

Hence the equation which helps determine the distance x on each side of the mirror is ,

$x+3+x=18$ .

Learn more about the linear equation here;

brainly.com/question/2263981

7 0

3 years ago

Find the product. state your answer in standard form <br><br> (x+7)(x squared + 6x - 8)

USPshnik [31]

Answer:

${x}^{3} + 13 {x}^{2} + 34x - 56$

Step-by-step explanation:

$(x + 7)( {x}^{2} + 6x - 8) \\ = x ( {x}^{2} + 6x - 8) + 7( {x}^{2} + 6x - 8) \\ = {x}^{3} + 6 {x}^{2} - 8x + 7 {x}^{2} + 42x - 56 \\ = {x}^{3} + 6 {x}^{2} + 7 {x}^{2} + 42x - 8x - 56 \\ = {x}^{3} + 13 {x}^{2} + 34x - 56 \\$

6 0

3 years ago

Read 2 more answers

A city is in the shape of a rectangle. In 1995 the width of the city was 9 miles and the length of the city was 5 miles. The wid

iogann1982 [59]

Answer:

DA/dt = 37 / 18

Step-by-step explanation:

We have the following information:

Sides of the rectangle L = length w = width

Area of the rectangle is : A = L* w

the rate of growing of the length ( as function of time ) 1 mile in 6 years

we can express that as :

DL/dt = 1 /6

And the rate of growing of the width ( as function of time ) 1 mile in 9 years

Dw/dt = 1/9

In 1995 dimensions of the rectangle were

L = 5 miles and w = 9 miles

Then:

A = L * w Taking derivatives

DA/dt = L * Dw/dt + w * DL/dt

DA/dt = 5 * (1/9) + 9 * (1/6) ⇒ DA/dt = 5/9 + 9/6

DA/dt = 111 / 54 ⇒ DA/dt = 37 / 18

3 0

3 years ago