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4 years ago

What is the slope of the line parallel to 3x + y = 12?

Mathematics

2 answers:

Doss [256]4 years ago

8 0

Answer:

slope = -3

Step-by-step explanation:

1) Rearrange eqn into slope intercept form

slope intercept form: y = mx + b

where...

m = the slope

b = the y-intercept (where the line crosses the y axis)

3x + y = 12

y = -3x+12

2) Know parallel rule. A line that runs parallel has the same slope but a different y-intercept

So the slope is: -3

Molodets [167]4 years ago

8 0

Slope is -3 hope this helps :)

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Solve the system of equations using the substitution method. check the solution.

Gennadij [26K]

Hello there!

To solve this system using substitution, notice that you already have one variable, x, solved for:
x=5-3y

Now, plug 5-3y in place of x in the other equation, -6x+5y=16:
-6(5-3y)+5y=16

Now simplify:
-6(5-3y)+5y=16
-30+18y+5y=16
-30+23y=16
23y=46
y=2

Now that you have y=2, plug this value in place of y into any of the two equations to solve for x:
x=5-3(2)
x=4-6
x=-1

Therefore, your final answers are that x=-1 and y=2 or (-1,2)

6 0

4 years ago

Help me please I appreciate it

KonstantinChe [14]

Answer: (-2,-4)

Step-by-step explanation:

To find the midpoint between two points we need to find the mean average between the x and the y .

Since we know the midpoint will have to represent the missing coordinates by the variables.

$\frac{-6+x}{2} = -4$ Solve for x to find the x coordinate by first multiplying both sides by -4.

-6 + x = -8 Add -6 to both sides

+6 +6

x = -2

The x coordinate of the B is -2 now we need to find the y coordinate.

$\frac{4+y}{2} = 0$ Multiply both sides by 2

4 + y = 0 Subtract 4 from both sides

-4 -4

y = -4

The y coordinate is -4 so the coordinates will be (-2,-4)

5 0

3 years ago

Would this event be labeled as independent probability or conditional probability?

photoshop1234 [79]

This would be independent probability

6 0

4 years ago

Read 2 more answers

Express 12.5% as a decimal Thanks :)

diamong [38]

12.5%
to convert from percent to decimal: divide by 100, and remove the "%" sign.

12.5 ÷ 100 = 0.125

7 0

3 years ago

Suppose you live 4.4 miles from a hill. From your home you see a plane directly above the hill. Your angle of elevation to the p

IrinaVladis [17]

█ Explanation █

Let's call the missing altitude 'x'.

✦ To find the plane's altitude, find the tan of 30 degrees. The side opposite is going to be x, while the side adjacent is going to be 4.4 miles.
✦ $Tan(30)= \frac{x}{4.4}$
✦ $5.7735= \frac{x}{4.4}$
✦ $x=4.4*.57735$
✦ $x=4.4*.55735$
✦ $x=2.54 mi$
✦ We usually write altitude in feet.

Answer: 2.54 * 5280 ~ 13,400 ft

Hope that helps! ★ If you have further questions about this question or need more help, feel free to comment below or leave me a PM. -UnicornFudge aka Nadia

4 0

3 years ago