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Pachacha [2.7K]
3 years ago
13

Which statement allows for us to conclude that line m and line n are parallel?

Mathematics
1 answer:
aksik [14]3 years ago
8 0
If two lines are parallel, then their slopes are equal.
If the slopes of two lines are equal, then the lines are parallel.
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Your recipe for oatmeal raisin cookies calls for 3 pounds 3 ounces of rolled oats. Assuming you had enough of the other ingredie
kifflom [539]
You could use a 25 pound bag of rolled oats 7 times
5 0
2 years ago
If alpha and beta are the zeroes of the polynomial f(x)= xsquare -8x +gamma such that alpha - beta = 2 find the value of gamma.
Komok [63]

Answer:

Γ = 15

Step-by-step explanation:

Given

f(x) = x² - 8x + Γ

with a = 1, b = - 8 and c = Γ , then

sum of zeros α + β = - \frac{b}{a} = - \frac{-8}{1} = 8

product of zeros = αβ = \frac{c}{a} = Γ

Given α - β = 2 , then

(α - β)² = 2²

α² - 2αβ + β² = 4 → (1)

and

(α + β)² = 8²

α² + 2αβ + β² = 64 → (2)

Add (1) and (2) term by term

2α² + 2β² = 68 ( divide through by 2 )

α² +β² = 34

Substitute α² + β² = 34 into (1)

34 - 2αβ = 4 ( subtract 34 from both sides )

- 2αβ = - 30 ( divide both sides by - 2 )

αβ = 15

Now

αβ = Γ = 15

Thus

f(x) = x² - 8x + 15

4 0
3 years ago
You're ordering a sandwich at the local deli, below is a tree diagram of the possible orders. What is the probability that your
dusya [7]

Answer:

Step-by-step explanation:

1. So there is two bread options but let's ignore that due every option being the same for both bread options.

2. So if you look there are three meat options meaning there is a one in three chance logical chance someone picks turkey (note when I say logical I mean that doesn't mean that this will be true in real life) and there is a one in two logical chance someone picks Swiss cheese.

3. So with a one in three chance logical meat option and a one two chance cheese option and.

4. Now knowing this it is simple math at this point as simple as \frac{1}{3} x \frac{1}{2}

5. 1 x 1 = 1 and 3 x 2 = 6

6. leading to \frac{1}{6}

4 0
2 years ago
A population of 200 rabbits can be modeled by the equation y = 200e^0.06x, where y is the final population of rabbits and x is t
Elenna [48]
Graph 2, Option 4 would be your answer because:
If you substitute 1 into the equation (x), you would get about 212
If you substitute 2, you would get approximately 225
If you substitute 10, you would get approximately 364.
Looking at the graph, your answer would be going up and to the right, the population is getting bigger while the years are increasing as well.
If we substitute 15 into x in the equation, we would get approximately 492.
3 0
3 years ago
Solve for x<br> 3 (x – 4) = 12x
ira [324]

Answer:

<h2>-4/3</h2>

Step-by-step explanation:

3x-12=12x

-12=12x-3x

-12=9x

-12/9=x

-4/3=x

x=-4/3

4 0
2 years ago
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