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3 years ago

(5 points)

Mathematics

1 answer:

Schach [20]3 years ago

3 0

Answer:

The original Slope is y=-1/3x-2

The perpendicular slope would be y=3x+b

Step-by-step explanation:

Original Slope:

You already have the y-interecpet, (0,-2), and you know two points (0,-2) and (-6,0), so you can find the slope with (y1-y2)/(x1-x2) so in this case, it would be (0-(-2))/(-6-0)= -1/3 and you can find y=1/3x-2.

Perpendicular Slope:

The slope of any perpendicular line would be the reciprocal of the original. So the reciprocal of -1/3 is 3. The b can be any real number because no matter the y-intercept the slope would still be perpendicular

Read more about linear equations at

brainly.com/question/4074386

#SPJ1

7 0

1 year ago

PLEASE HELP!! Factor 6x^2-42x-54 Please show work!

skad [1K]

first, rewrite 54 as 6•9

next, rewrite 42 as 6•7

then, that gets you 6x^2 -6•7x- 6•9

lastly, factor out the common term (6)

and then you get 6(x^2-7x-9)

please mark as brainliet <3

6 0

3 years ago

The American Civil War was a civil war in the United States from 1861 to 1865, fought between northern states loyal to the Union

Sloan [31]

Answer:

The American Civil War was a civil war in the United States from 1861 to 1865, fought between northern states loyal to the Union and southern states that had seceded to form the Confederate States of America.

Why do phase changes occur?

1. Compare: Set the Water temperature to 0 °C and click Play. Observe the water molecules.

Click Reset, set the Water temperature to 100 °C, and click Play again.

What do you notice? The water molecules are moving slightly faster at 100 °C than at 0 °C.

[Note: This difference may be too small to observe easily.]

2. Observe: Click Reset. The mean molecular speed of the water molecules is displayed

below the container. Set the Water temperature to 0 °C and Add/remove heat energy to

400 J/s. Click Play.

A. How does the mean speed of the water molecules change as they are heated?

The average speed of water molecules increases as they are heated.

B. Does the mean molecular speed change as much as the temperature as the

water heats up? Explain.

Sample answer: For each degree of temperature change, the mean molecular

speed increases by about 1 m/s. At 100 °C, the mean molecular speed is about

17% faster than at 0 °C.

3. Explain: How is temperature related to the motions of molecules?

The higher the temperature, the faster the molecules move.

4. Observe: Click Reset. Set the Water temperature to 20 °C and the Ice volume to 50 cc.

Set Add/remove heat energy to 0 J/s. Click Play. How do the molecules in the liquid

interact with the molecules in the solid?

The molecules of the liquid collide with the molecules of solid, gradually breaking the bonds

between the molecules in the solid and causing the ice to melt.

Step-by-step explanation:

7 0

2 years ago

Joe earns $14 an hour and Blaine earns $18 per hour. Joe receives a raise of $1.75 every six months, and Blaine receives a raise

Katarina [22]

After 4 interval of six months, Joe to earn same hourly rate as Blaine

Solution:

Given that,

Amount earned by Joe = $ 14 per hour

Amount earned by Blaine = $ 18 per hour

Lets assume the number of six month intervals be "x"

Joe receives a raise of $1.75 every six months

Therefore,

Joe earning: 14 + 1.75(number of six month intervals)

Equation for Joe earning: 14 + 1.75x ------- eqn 1

Blaine receives a raise of $0.75 every six months

Therefore,

Blaine earning: 18 + 0.75(number of six month intervals)

Equation for Blaine earning: 18 + 0.75x ------------ eqn 2

The number of six-month intervals it will take Joe to earn the same hourly rate as Blaine,

Eqn 1 must be equal to eqn 2

$14+1.75x = 18+0.75x\\\\1.75x-0.75x = 18-14\\\\1x = 4\\\\x = 4$

Thus after 4 interval of six months, Joe to earn same hourly rate as Blaine.

8 0

3 years ago

What is the area of triangle MOL? 200 square units 250 square units 300 square units 500 square units

In-s [12.5K]

Answer:

300 square units

Step-by-step explanation:

explanation-because i just know

4 0

3 years ago