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AVprozaik [17]
2 years ago
13

Find the equation that passes through points A and B

Mathematics
2 answers:
Irina18 [472]2 years ago
3 0

Answer:

Step-by-step explanation:

A(1,7); B(-3,-1); slope m =(-1-7)/-3-1) = -8/-4 = 2

Equation of a line AB is

((y-y1) = m(x-x1)

y - 7 = 2(x-1)

y - 7 = 2x-2

y = 2x + 5

vovikov84 [41]2 years ago
3 0

Answer:

<em>y = 2x +5</em>

Step-by-step explanation:

<u>Equation of a line</u>

The point-slope form of the equation of a line is:

y - k = m ( x - h )

Where m is the slope and (h,k) is a point through which the line passes.

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

\displaystyle m=\frac{y_2-y_1}{x_2-x_1}

The image provides two points A(1,7) and B(-3,-1), thus the slope is:

\displaystyle m=\frac{-1-7}{-3-1}

\displaystyle m=\frac{-8}{-4}

m = 2

Now we apply the point-slope form taking the point (1,7):

y - 7 = 2 ( x - 1 )

Operating:

y - 7 = 2x - 2

Adding 7:

y = 2x +5

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Suppose you are managing 16 employees, and you need to form three teams to work on different projects. Assume that all employees
valentina_108 [34]

Answer:

4380 ways

Step-by-step explanation:

We have to form 3 project of 16 employees, they tell us that the first project must have 5 employees, therefore we must find the number of combinations to choose 5 of 16 (16C5)

We have nCr = n! / (R! * (N-r)!)

replacing we have:

1st project:

16C5 = 16! / (5! * (16-5)!) = 4368 combinations

Now in the second project we must choose 1 employee, but not 16 but 11 available, therefore it would be to find the number of combinations to choose 1 of 11 (11C1)

2nd project:

11C1 = 11! / (1! * (11-1)!) = 11 combinations

For the third project we must choose 10 employees, but since we only have 10 available, we can only do a combination of this, since 10C10 = 1, therefore:

3rd project: 1 combination

The total number of combinations fro selecting 16 employees for each project would be:

4368 + 11 + 1 = 4380 combinations, that is, there are 4380 different ways of forming projects with the given conditions.

3 0
3 years ago
The volume of a spherical ball is 4500rr cubic centimeters. Find the radius of the ball.
andre [41]

Answer:

its is6700rr centimeters

Step-by-step explanation:

4 0
2 years ago
Aaron used the Pythagorean theorem to find the height of a tree. He calculated that the tree was √625 feet tall. Which of the fo
frutty [35]

Answer:

25 feet

Step-by-step explanation:

8⅓ yards

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3 0
3 years ago
Using the quadratic equation formula to solve 7x^2-x=7, what are the values of x
Gennadij [26K]

quadratic formula:

x = <u>-b ± √(b² - 4ac)</u>

             2a

7x² - x = 7

subtract 7 from both sides:

7x² - x - 7 = 0

plug values into the quadratic formula:

x = <u>-(-1) ± √((-1)²- 4(7)(-7))</u>

               2(7)

simplify:

x = <u>1 ± √(197)</u>

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8 0
3 years ago
Can you please show work​
fgiga [73]

Answer:

A) 3.44 ft²

Step-by-step explanation:

before cutouts, the area was 4 x 4 = 16 ft²

the circles have a diameter of 2 ft each, and a radius of 1 ft

each circle has an area pf (3.14)(1²) = 3.14 ft²

3.14 x 4 = 12.56 ft²

16 - 12.56 = 3.44 ft² left

3 0
2 years ago
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