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fenix001 [56]
2 years ago
13

What is the equation of the line that passes through the point (5, 6) and has a slope of 2

Mathematics
1 answer:
Mrac [35]2 years ago
6 0

Answer:

y = 2x - 4

Step-by-step explanation:

Given:

x1 = 5

y1 = 6

slope (m) = 2

Solution:

y - y1 = m ( x - x1 )

y - 6 = 2 ( x - 5 )

y - 6 = 2x - 10

y = 2x - 10 + 6

y = 2x - 4

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Find the perimeter of the given rectangle: 5x - 9 by 7
amid [387]

Answer:

x=12.6

Step-by-step explanation:

5x -9 / 7

5x= -9x7

5x= -63

x= -63/5 = -12.6

x= -12.6

5 0
2 years ago
Jace is a songwriter who collects royalties in his songs whenever they are played in a commercial or a movie. Jace will earn $50
VashaNatasha [74]

Jace's song were played on 8 commercials and 2 movies

<h3>Further explanation</h3>

Simultaneous Linear Equations could be solved by using several methods such as :

  • <em>Elimination Method</em>
  • <em>Substitution Method</em>
  • <em>Graph Method</em>

If we have two linear equations with 2 variables x and y , then we need to find the value of x and y that satisfying the two equations simultaneously.

Let us tackle the problem!

<em>Let:</em>

<em>Number of Commercials = C</em>

<em>Number of Movies = M</em>

\texttt{ }

<em>Jaces songs were played on 6 more commercials than movies.</em>

\boxed{C = 6 + M} → <em>Equation 1</em>

\texttt{ }

<em>Jace will earn $50 every time one of his songs is played in a commercial and he will earn $140 every time one of his songs is played in a movie.</em>

<em>His total earnings in the royalties from all commercials and movies was $680.</em>

\boxed{50C + 140M = 680} → <em>Equation 2</em>

\texttt{ }

<em>Equation 1  ↔ Equation 2 :</em>

50C + 140M = 680

50 ( 6 + M ) + 140M = 680

300 + 50M + 140M = 680

190M = 680 - 300

190M = 380

M = 380 \div 190

M = 2

\texttt{ }

C = 6 + M

C = 6 + 2

C = 8

\texttt{ }

<h2>Conclusion:</h2>

The number of commercials and the number of movies in which Jaces songs where played is respectively 8 and 2

\texttt{ }

<h3>Learn more</h3>
  • Perimeter of Rectangle : brainly.com/question/12826246
  • Elimination Method : brainly.com/question/11233927
  • Sum of The Ages : brainly.com/question/11240586

<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Simultaneous Linear Equations

Keywords: Simultaneous , Elimination , Substitution , Method , Linear , Equations

5 0
3 years ago
All rectangles are parallelograms.<br>A. True<br>B. False​
Amanda [17]

Answer: True

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Write the equation of the line passing through the points (6,2) and (-2,-2). The equation of the line is [] Please helppp!!
AURORKA [14]

Answer:

Step-by-step explanation:

slope=(-2-2)/(-2-6)=-4/-8=1/2

eq. of line is

y-2=1/2(x-6)

2y-4=x-6

2y=x-6+4

2y=x-2

or y=1/2x-1

4 0
2 years ago
Jim's car repair charges $50 plus $16 for every pint of oil. Sam's car repair charges $80 plus $14 for every pint of oil. At how
vova2212 [387]

Answer:

5 pints of oil for 8 dollars

Step-by-step explanation:

1.65 dollars for 1 pint

3.4/2=1.7 dollars for 1 pint

8/5=1.6 dollars for 1 pint

17.6/10=1.76 dollars for 1 pint

33/20=1.65 dollars for 1 pint

3 0
3 years ago
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