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Sever21 [200]
2 years ago
13

Write the following in point-slope form using the given information: Slope: 2 points

Mathematics
1 answer:
SCORPION-xisa [38]2 years ago
8 0

Answer:

y+5 = \frac{1}{15}(x - 3)}

Step-by-step explanation:

Given

m = \frac{1}{15} -- Slope

(x_1,y_1) = (3,-5) --- Point

Required

Write an equation in point slope form

The point slope form of an equation is:

y - y_1 = m(x - x_1)

Substitute values for y1, x1 and m

y-(-5) = \frac{1}{15}(x - 3)}

y+5 = \frac{1}{15}(x - 3)}

Hence, the equation in point slope form is:

y+5 = \frac{1}{15}(x - 3)}

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A young sumo wrestler decided to go on a special diet to gain weight rapidly. He gained weight at a constant rate.
Fittoniya [83]

The wrestler gained 5.20 kilograms per month.

Step-by-step explanation:

Let,

x be the weight gained every month.

y be the original weight before weight gain.

According to given statement;

0.5x+y=80.6   Eqn 1

2x+y=88.4    Eqn 2

3.5x+y=96.2    Eqn 3

Subtracting Eqn 1 from Eqn 2

(2x+y)-(0.5x+y)=88.4-80.6\\2x+y-0.5x-y=7.8\\1.5x=7.8

Dividing both sides by 1.5

\frac{1.5x}{1.5}=\frac{7.8}{1.5}\\x=5.20

The wrestler gained 5.20 kilograms per month.

Keywords: linear equation, subtraction

Learn more about linear equations at:

  • brainly.com/question/4459688
  • brainly.com/question/4460262

#LearnwithBrainly

3 0
3 years ago
Read 2 more answers
TRUE or FALSE: A linear equation written in "slope-intercept form" would look similar to y = mx + b.
Art [367]

Answer:

i believe it would be true

5 0
3 years ago
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The area of a rectangle is 6x^2-9x-15. And the length is (2x-5). Which expression best represents the rectangle’s width?
tester [92]
<h2><u>AnswEr :</u> </h2>

The area of the rectangle is of the form 6x² - 9x - 15

Factoring the given expression,

\sf \:  {6x}^{2}  - 9x - 15 \\  \\  \leadsto \:  \sf \:  3\bigg( {2x}^{2}  - 3x - 5 \bigg) \\  \\  \leadsto \:  \sf \: 3 \bigg( {2x}^{2}  - 5x + 2x - 5 \bigg) \\  \\  \leadsto \:  \sf \: 3 \bigg((2x - 5)(x + 1) \bigg)

Length of the rectangle is 2x - 5

Thus,

\leadsto \:  \sf \: (2x - 5)(3x + 3)

<h3>The breadth of the rectangle is 3x + 3 </h3>
4 0
3 years ago
10x+2=9x3<br> what is the answer
yKpoI14uk [10]

Answer:

8.5

Step-by-step explanation:

10x+2=9x(3)

10x+2=27x

2=17x

x=8.5

6 0
2 years ago
Solve: 3x - 7 - 2x + 5 = 6 A) -8 B) - 18 5 C) 4 D) 8
seropon [69]

Answer:

D) 8

Step-by-step explanation:

3x - 7 - 2x + 5 = 6

3x - 2x  = 6 + 7 - 5

  x   = 8

Note: 6 + 7 -5 =  13 -5 = 8

7 0
3 years ago
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