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Mazyrski [523]
3 years ago
10

What is the slope of the line through (-10,1)(−10,1)left parenthesis, minus, 10, comma, 1, right parenthesis and (0,-4)(0,−4)

Mathematics
1 answer:
iris [78.8K]3 years ago
4 0

Answer:

- \frac{1}{2}

Step-by-step explanation:

We have to find the slope of the line through the points (-10,1) and (0,-4).

We know the formula of slope of a straight line when two different points on the line are known to be (x_{1}, y_{1}) and (x_{1}, y_{1}) is given by [\frac{y_{1} - y_{2}  }{x_{1} - x_{2}}].

Therefore, in our case (x_{1}, y_{1}) ≡ (-10,1) and (x_{1}, y_{1}) ≡ (0,-4)

Therefore, the slope is \frac{1 - (- 4)}{- 10 - 0} = - \frac{1}{2} (Answer)

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astra-53 [7]

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in this case

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What is the coefficient of the variable in the expression 2 − 5x − 4 + 8? A: −5 B:−4 C:2 D:8
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2-5x-4+8

 A:  -5

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An instructor gives her class the choice to do 7 questions out of the 10 on an exam.
Maksim231197 [3]

Answer:

(a) 120 choices

(b) 110 choices

Step-by-step explanation:

The number of ways in which we can select k element from a group n elements is given by:

nCk=\frac{n!}{k!(n-k)!}

So, the number of ways in which a student can select the 7 questions from the 10 questions is calculated as:

10C7=\frac{10!}{7!(10-7)!}=120

Then each student have 120 possible choices.

On the other hand, if a student must answer at least 3 of the first 5 questions, we have the following cases:

1. A student select 3 questions from the first 5 questions and 4 questions from the last 5 questions. It means that the number of choices is given by:

(5C3)(5C4)=\frac{5!}{3!(5-3)!}*\frac{5!}{4!(5-4)!}=50

2. A student select 4 questions from the first 5 questions and 3 questions from the last 5 questions. It means that the number of choices is given by:

(5C4)(5C3)=\frac{5!}{4!(5-4)!}*\frac{5!}{3!(5-3)!}=50

3. A student select 5 questions from the first 5 questions and 2 questions from the last 5 questions. It means that the number of choices is given by:

(5C5)(5C2)=\frac{5!}{5!(5-5)!}*\frac{5!}{2!(5-2)!}=10

So, if a student must answer at least 3 of the first 5 questions, he/she have 110 choices. It is calculated as:

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6 0
3 years ago
If the area of a baseball diamond (shape of a square) is 8100 ft squared, how would you find the distance from 1st base to 3rd b
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Answer:

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  • Approximate distance = 127.2792 feet.

===========================================================

Explanation:

The area of the square is 8100 square feet, abbreviated ft^2.

Apply the square root to find the distance from any base to its adjacent counterpart (eg: from 1st to 2nd base). So we get sqrt(8100) = 90 ft as that side distance. Notice that 90*90 = 8100.

If you were to draw a line from 1st base to 3rd base, then you would split the square into two congruent right triangles. Each right triangle is isosceles (the two legs being 90 ft each).

Use the pythagorean theorem to find the hypotenuse.

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