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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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If the end points of the diameter of a circle are (9,4) and (5,2) what is the standard form equation of the circle
timurjin [86]

Answer:

(x - 7)² + (y - 3)² = 5

Step-by-step explanation:

The center (h , k) is the midpoint of two end points of diameter

h = (9 + 5) / 2 = 7

k = (4 + 2) / 2 = 3

Equation of circle: (x - h)² + (y - k)² = r²

r = (√(9 - 5)² + (4 - 2)²) / 2 = √5

Equation: (x - 7)² + (y - 3)² = 5

6 0
3 years ago
The intercept (factored) form a parabola.
Svet_ta [14]
The a value affects the graph by vertically stretching or compressing the graph.
The r and s values affect the zeros, or x intercepts of the parabola, and therefore the vertex.
Hope this helps!
8 0
3 years ago
Which of the following is the best strategy to support children in learning about shapes?
Sunny_sXe [5.5K]

The best option is C. Provide multiple worksheets with pictures of the basic shapes for children to colour.

<h3>What does the learning process in children involve?</h3>

The process of learning has often been described to include all but not limited to the following:

  • gaining new understanding,
  • learning new behaviours,
  • skills,
  • values, attitudes, and
  • preferences.

Children according to experts learn faster and easily remember what they see. Hence, providing multiple worksheets with pictures of the basic shapes for children to colour is the most cost-efficient strategy to support children in learning about shapes.

You can learn more from a related question about teaching strategies to use for children here brainly.com/question/240537

#SPJ1

4 0
2 years ago
The repairs bill on your car includes $355 for parts $146 for labor and a sales tax of $40 what is the total amount you owed
marissa [1.9K]

Answer:

$541

Step-by-step explanation:

Given:

The repair bill includes $355 for parts $146 for labor and a sales tax of $40

Question asked :

what is the total amount we owed = ?

Solution:

Total cost of parts to repair = $355

Total cost of labor = $146

Sales tax =$40

By adding all the cost:

Total cost of repair = $355 + $146 + $40

                                = $541

Therefore, total amount we have to pay = $541

7 0
3 years ago
|-2 + 5 | - |3 - 12| - 13=
zavuch27 [327]

Answer:

-19

3 - 9 - 13 = -19

Step-by-step explanation:

5 0
2 years ago
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