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seraphim [82]
3 years ago
12

Find the value of r in (4, r), (r, 2) so that the slope of the line containing them is −53

Mathematics
2 answers:
Elan Coil [88]3 years ago
7 0

Answer:

C) 7

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

Work Shown:

Use the slope formula

m = (y2-y1)/(x2-x1)

Plug in the given slope we want m = -5/3 and also the coordinates of the points. Then isolate r

m = (y2-y1)/(x2-x1)

-5/3 = (2-r)/(r-4)

-5(r-4) = 3(2-r) .... cross multiplying

-5r+20 = 6-3r

-5r+20+5r = 6-3r+5r .... adding 5 to both sides

20 = 6+2r

20-6 = 6+2r-6 ....subtracting 6 from both sides

14 = 2r

2r = 14

2r/2 = 14/2 .... dividing both sides by 2

r = 7

The slope of the line through (4,7) and (7,2) should be -5/3, let's check that

m = (y2-y1)/(x2-x1)

m = (2-7)/(7-4)

m = -5/3

The answer is confirmed

Brut [27]3 years ago
5 0

Answer:

C)  7

Correct answer

Step-by-step explanation:

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S
lora16 [44]

Answer:

  B.  9

Step-by-step explanation:

We assume that ...

  SU = ST +TU

  133 = (9x-5) +(5x+12)

  126 = 14x . . . . . subtract 7, collect terms

  9 = x . . . . . . . . . divide by 14

7 0
3 years ago
50 POINTS! QUICKLY Are the pairs of variables x and y the solutions to the equation x^2–2y=7?
Fittoniya [83]

Hi there!

\large\boxed{(5,8) \text{ and } (1.2, -2.78)}}

We are given the equation:

x² - 2y = 7

To verify if each ordered pair is apart of the function, we can plug in their respective x and y values:

1. (5)² - 2(8) = 7

25 - 16 = 9 ≠ 7. This is NOT correct.

2. (-1)² - 2(-3) = 7

1 + 6 = 7. This is correct.

3. (-4)² - 2(-11.5) = 7

16 + 23 = 39 ≠ 7. This is NOT correct.

4. (1.2)² - 2(-2.78) = 7

1.44 +5.56 = 7. This is correct.

Thus, only 1 and 4 are the correct answers.

5 0
2 years ago
Read 2 more answers
361 DIVIDED by 190,969
dimaraw [331]

Answer:

0.00189035916

Step-by-step explanation:

6 0
2 years ago
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The diameter of a circle is 14 in. Find its area in terms of <br> π<br> π.
maksim [4K]

Answer:

49π in²

Step-by-step explanation:

Step 1: Find the radius.

  • To find radius given diameter, just divide the diameter by 2: \frac{14}{2}
  • 14/2 = 7, so the radius is 7.

Step 2: Apply area of circle formula.

  • The formula to find the area of a circle is πr², where r = radius.
  • Now, plug in the value of r: π(11)².

Step 3: Simplify.

  • π(11)²
  • π(121)
  • 121π

Since we're finding the area in terms of pi, we don't have to multiply 121 by pi, so the answer is 49π in².

4 0
2 years ago
A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as ed
Lady_Fox [76]

Answer:

for 3644 produced books the costs will be the same.

Step-by-step explanation:

x = number of books

f(x) = production method 1 costs

g(x) = production method 2 costs

f(x) = 11.75x + 57077

g(x) = 21.25x + 22459

for what number of books (x) will that be the same ?

11.75x + 57077 = 21.25x + 22459

34618 = 9.5x

x = 34618 / 9.5 = 3644

4 0
3 years ago
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