Determine whether the lines 3x+2y=6 and 4y=-6x-12 are parallel, intersect, or coincide

Answer:

y = 6

x = 4

How to find 'x':

4x - y = 10

y = 2x - 2

First, you need to substitute the 'y' into the first equation.

4x - 2x - 2 = 10

Next, add the x's together. As it's a negative 2x then take away 2 from 4.

2x - 2 = 10

3. Now that it's a normal equation, you can add 2 to cancel out the -2

2x = 8

4. Then divide the 8 by 2 and you will get the answer to x which is 4

x = 4

How to find 'y':

1. Now that we have found out 'x'. Let's go back to y = 2x -2 and use the x to found the answer out. It should be something like this:

y = 2x - 2

y = 2(4) - 2

y = 8 - 2

8 - 2 = 6

y = 6

Conclusion:

So the answer would be:

y = 6

x = 4

You can see if it's correct by putting y into 4x - y = 10.:

4x - 2 = 10

4(4) - 6 = 10

16 - 6 = 10

So that means that y and x are the correct answer.

Answer:

  y-intercept: (0, 5/2)

  x-intercept: (5/3, 0)

Step-by-step explanation:

The y-intercept is found by setting x=0 and dividing by the coefficient of y.

  0 +2y = 5

  y = 5/2

The x-intercept is found by setting y=0 and dividing by the coefficient of x.

  3x +0 = 5

  x = 5/3

The intercepts are ...

  y-intercept: (0, 5/2)

  x-intercept: (5/3, 0)

Answer:

6 cm^2

Step-by-step explanation:

The area of the trapezoid is given by the formula ...

A = 1/2(b1 +b2)h

A = 1/2(4 cm +2 cm)(2 cm) = 6 square centimeters

An object at point A moving to point B is displaced in the direction of

r = (5i - 2j) m - (2i + j) m = (3i - 3j) m

(I assume distance is measured in meters)

If the force is F = (10 N) (3i - 4j), then the work performed by F in the direction of r is

F • r = (10 N) (3i - 4j) • (3i - 3j) m = (10 N) (9 + 12) m = 210 J

Step-by-step explanation:

Use the slope formula

Taking two points on the line:

(0,3) and (-5,0)

3-0/0+5

You will get: 3/5 as your slope

The y-intercept is (0,3)

Therefore:

y = 3/5x + 3

Answer:

i think 20

Step-by-step explanation:

x=hours

7.5=2.5x

3=x

x=3

3 hours until the power was restored

Answer:

just use algebraic expression

Answer:

100-60=40

40/4=10

10*$1=$10

$12+$10=$22

[tex]\huge \bf༆ Answer ༄[/tex]

Total distance covered is equal to ~

Hence distance covered = 2200 m = 2.2 km

Answer:

-1.2°F

Step-by-step explanation:

-4.8F = 4 hours

Divide both sides by 4 to get one side to 1 hour

-4.8F/4 = 4 hours / 4

-1.2F = 1 hour

The average change in temperature each hour is -1.2°F

A division is a process of splitting a specific amount into equal parts.

Given that the outside temperature changes -4.8°F in 4 hours

We need to find the average change in temperature each hour

To find this we need to use division.

We need to divide -4.8 by 4

-4.8/4

Minus four point eight divided by 4

-1.2

Hence, the average change in temperature each hour is -1.2°F

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Answer:

negative numbers don't have square roots. a square is either positive or 0, so your questions answer doesn't exist. if you want positive 7 though, 5.291502... etc

Answer:

B (0, -2)

Step-by-step explanation:

Since the line intercepts at -2 on the y-axis, -2 is the y-intercept.

Answer:

Step-by-step explanation:

x = 3y

x + y = 180°

3y + y = 180° ⇒ y = 45° = a

x = 3( 45° ) ⇒ x = 135° = b

The sizes of angles represented by a and b​ are 45 and 135 degrees.

An angle requires two straight line/ line segments/rays, such that they're connected on one of their endpoints.

The point of their joint is called vertex of that angle.

Those two line segments forming it are called arms of that angle.

The angle is the degree of rotation that it will take for the moving side to go from initial side to the position it is currently on.

We are given that

x = 3y

Since we know that the linear pair is

x + y = 180°

Therefore, 3y + y = 180°

y = 45° = a

x = 3( 45° )

x = 135° = b

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Answer: y = 3x +1

Step-by-step explanation:

Answer:

In first situation= =given angle + x=sum of angle of triangle. =110°+x=180°=70° X=70° Similarly, 2. condition can be solved i.e-x=144°

Step-by-step explanation:

Answer:

y= 0.75x + -0.50

A or B is what im guessing

Answer:

A: 312  P: 80

Step-by-step explanation:

Answer:

A=120, P=60

Step-by-step explanation:

Answer:

y=-2x+4

Step-by-step explanation:

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

m=(-2-2)/(3-1)

m=-4/(2)

m=-4/2

m=-2

y-y1=m(x-x1)

y-2=-2(x-1)

y-2=-2x+2

y=-2x+2+2

y=-2x+4

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Answer:

w = 38%  or 37%

w = 37.7162629758% exact

Step-by-step explanation:

Lets say c = 100

If k = 15, 100 is decreases by 15% 2 times.

15% of 100 = 15

100 - 15 = 85

d = 85

Now lets find a

85 times .85 = 72.25

Now find what percent of 72.25 you have to add to itself to get 100

100 - 72.25 = 27.75

27.75 divided by 72.25

37% rounded

37.7162629758% exact

Answer:

430 > 33.73x + 27      ---->         x < 11

Step-by-step explanation:

The inequality describes the total amount that can be spent for a whole number of days. To solve for the number of days, solve for x (x<11.95). Because she can't rent for only a part of a day, and because she can't spend more than $430, the inequality becomes x<11.

Answer:

Step-by-step explanation:

33.73x + 27 <= 430

0.06 is for every mile. She plans to drive 450 miles. So 0.06 times 450. Which is 27.

Then your have the 33.73 for each day for the rent of the car. We don't know how many days so we'll just put x.

Answer:

C. 1 to 4

Step-by-step explanation:

The ratio is used to describe situations like "for how many x's, there are many y's". In this case, we are trying to find the ratio for A baskets scored to B baskets scored, team A scores one basket, then team B will score 4 baskets. Then we can write the ratio of A to B as 1:4, which is 1 to 4.

Hope I did this correctly since it was long ago that I lastly worked with ratios

Answer:

46?

Step-by-step explanation:

23*2=46

Answer:

37.31 cm

Step-by-step explanation:

∡ AB = 180 - 148 = 32° = ∡ DE

∡ CD = 360 - ∡ AE - ∡ AB - ∡ BC - ∡ DE = 360 - 148 - 32 - 87 - 32 =61°

∡ CE = 61 + 32 = 93°

arc length = 2[tex]\pi[/tex]r [tex]\frac{angle}{360}[/tex] = 2×3.14×23×[tex]\frac{93}{360}\\[/tex] = 37.31 cm

The answer is 17, Volume = h × π×r^2

Divide by known height from both sides

Divide by pi

square root

the answer is distrubutive property