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wolverine [178]
3 years ago
12

Find the slope of the line that passes through (12, 6) and (-8, -4).

Mathematics
1 answer:
vovikov84 [41]3 years ago
5 0

Answer:

\huge  \boxed{ \boxed{   \frac{1}{2} }}

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} \\

From the question we have

m =  \frac{ - 4 - 6}{ - 8 - 12}  =   \frac{ - 10}{ - 20}  =  \frac{10}{20}  =  \frac{1}{2}  \\

We have the final answer as

\frac{1}{2}  \\

Hope this helps you

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An angle whose measure is 405° is in standard position. In what quadrant does the terminal side of the angle fall?
katrin2010 [14]

Answer:

The angle is in the first quadrant

Step-by-step explanation:

For angles greate than360°,subtract

360° from the angle until the angle is less than 360°. Hence

405° = 405° - 360°

= 45°

The angle is in the first quadrant. Since the first quadrant can still take as much as 90°

8 0
4 years ago
Select Independent or Not independent for each situation.
krok68 [10]

Answer:

1. Not Independent

2. Independent

3. Not Independent

4. Independent

Step-by-step explanation:

Independent: An event is independent if the outcome of one event doesn't effect the outcome of the other event.

Not independent : An event is Not independent if the outcome of one event effect the outcome of other event.

1. A jar contains twenty coins. Two coins are picked randomly without replacement.

Not Independent because if coins are not replaced the outcome of next event will be effected.

2. A coin is flipped three times.

Independent because when a coin is flipped once its outcome doesn't effect the outcome of the coin flipped again

3. A bag contains 5 red balls and 3 green balls. A red ball is chosen followed by a green ball without replacement.

Not Independent because if balls are not replaced the outcome of next event will be effected.

4. A spinner contains 3 equal sectors labeled A, B and C. The spinner is spun twice.

Independent because when the spinner is spuned once its outcome doesn't effect the outcome of the spinner spun again

7 0
3 years ago
Read 2 more answers
Pls help me with this
OlgaM077 [116]

Answer:

  1/(x^(17/12)y^(5/3))

Step-by-step explanation:

We assume you want to simplify the expression. The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  (a^b)^c = a^(bc)

  1/a^b = a^-b

Using these "all at once", we can add up the exponents of each of the variables:

  x^(-2/3 -2·0 -(1/2)(3/2))·y^(-2/3-(1/2)·2) = x^(-2/3-3/4)y^(-2/3-1)

  = x^(-17/12)y^(-5/3)

  = \dfrac{1}{x^{\frac{17}{12}}y^{\frac{5}{3}}}

4 0
4 years ago
Write an expression equivalent to (6x + 4y) – 2y by combining like terms. Enter the numbers in the boxes
raketka [301]

6x +2y

Solution:

Given expression is (6x + 4y) –2y.

To find the equivalent expression for the given expression.

⇒ (6x + 4y) –2y

⇒ 6x + 4y –2y

Combine like terms together.

⇒ 6x + (4y –2y)

⇒ 6x + 2y

6x +2y is equivalent to (6x + 4y) –2y.

Hence, the expression equivalent to (6x + 4y) –2y is 6x + 2y.

5 0
3 years ago
If y=1/2x+4, then find the equation of the line parallel through the point (6,3).
tatyana61 [14]

Answer:

x=2y

Step-by-step explanation:

random guess

5 0
3 years ago
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