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3 years ago

Find the slope of the line passing through each of the following pairs of points. b (−3, 9), (−3, −5)

Mathematics

2 answers:

Kisachek [45]3 years ago

5 0

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have:

$(-3,\ 9)\to x_1=-3,\ y_1=9\\(-3,\ -5)\to x_2=-3,\ y_2=9$

Substitute:

$m=\dfrac{-5-9}{-3-(-3)}=\dfrac{-14}{-3+3}=\dfrac{-14}{0}\ \ \ \boxed{!!!!!}$

Answer: The slope is indefinite

marusya05 [52]3 years ago

4 0

Hi there! :)

Step-by-step explanation:

$SLOPE=\frac{Y_2-Y_1}{X_2-X_1}=\frac{RISE}{RUN}$

$\frac{(-5)-9}{(-3)-(-3)}=\frac{-5-9}{-3+3}=\frac{-14}{0}=0$

Undefined.

Slope is 0.

Final answer is 0.

Hope this helps!

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P= -24 q= 12 r= -6 a. (pxq):(q+r) b. (pxr):(r-q) what the answer?

kolezko [41]

Step-by-step explanation:

a. ( p × q ) ( q + r )

= ( -24 × 12 ) ( 12 + -6 )

= 288 × 18

= 5184

b. ( p × r ) ( r - q )

= ( -24 × -6 ) ( -6 - 12 )

= ( 144 ) ( -18 )

= -2592

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3 years ago

What are the equations for these graphs

telo118 [61]

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4 years ago

All about simulitious equations

Korolek [52]

Answer:

On occasions you will come across two or more unknown quantities, and two or more equations

relating them. These are called simultaneous equations and when asked to solve them you

must find values of the unknowns which satisfy all the given equations at the same time.

Step-by-step explanation:

1. The solution of a pair of simultaneous equations

The solution of the pair of simultaneous equations

3x + 2y = 36, and 5x + 4y = 64

is x = 8 and y = 6. This is easily verified by substituting these values into the left-hand sides

to obtain the values on the right. So x = 8, y = 6 satisfy the simultaneous equations.

2. Solving a pair of simultaneous equations

There are many ways of solving simultaneous equations. Perhaps the simplest way is elimination. This is a process which involves removing or eliminating one of the unknowns to leave a

single equation which involves the other unknown. The method is best illustrated by example.

Example

Solve the simultaneous equations 3x + 2y = 36 (1)

5x + 4y = 64 (2) .

Solution

Notice that if we multiply both sides of the first equation by 2 we obtain an equivalent equation

6x + 4y = 72 (3)

Now, if equation (2) is subtracted from equation (3) the terms involving y will be eliminated:

6x + 4y = 72 − (3)

5x + 4y = 64 (2)

x + 0y = 8

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3 years ago

(3+5i)(3-5i) please show work!

Alexxandr [17]

Answer:

Step-by-step explanation:

(3 + 5i)(3 - 5i) = 9 - 25i^2

because i^2 = -1 9 - 25i^2 = 9 - 25x-1 = 34

hope this helped

5 0

3 years ago

How to get the answer to 2/3(3x+6)=4x+3 without using distributive property.

Annette [7]

The answer for the given equation is x = 3.5.

Step-by-step explanation:

Given, 2 / 3 (3x + 6) = 4x + 3

Step 1:

Rearranging the given equation by subtracting the right side of the equation to the left side.

2 / 3 (3x + 6) - 4x + 3 = 0

Step 2:

Taking out the like terms, the equation becomes

(2 / 3) $\times$ 3 (x + 2) - (4x - 3) = 0

⇒ 2 (x + 2) - (4x - 3) = 0

Step 3:

Solving the equation for the value of x,

⇒ 2x + 4 - 4x + 3 = 0

⇒ -2x + 7 = 0

⇒ -2x = -7

⇒ x = 7 / 2 = 3.5.

Hence the value of x = 3.5.

5 0

3 years ago