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Vedmedyk [2.9K]
3 years ago
7

Write an equation in standard form for the line that passes through the given points. (-2, -3), (4, -7)

Mathematics
1 answer:
igomit [66]3 years ago
3 0

Answer:

y = -2/3x - 13/3

Step-by-step explanation:

y=mx+b

find slope

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

(-7+3)/(4+2)

-4/6 = -2/3 = m

y-int = b = m * |x1| + y1

-2/3 * |-2| + (-3)

-4/3 - 3 = -13/3

y=-2/3x - 13/3

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Solve the simultaneous equations
Contact [7]

Answer:

The solution for given system of equations is: x = 6 and y = 3

Or

(6,3)

Step-by-step explanation:

Given equations are:

3x+4y=30\ \ \ Eqn\ 1\\3x-y=15\ \ \ \ Eqn\ 2

There are three methods to solve simultaneous equations

  1. Elimination
  2. Substitution
  3. Co-efficient method

We will use the elimination method as the coefficients of x in both equations are already same

Subtracting equation 2 from equation 1

3x+4y - (3x-y) = 30-15\\3x+4y-3x+y = 15\\5y = 15\\\frac{5y}{5} = \frac{15}{5}\\y = 3

Putting y = 3 in equation 2

3x-3 = 15\\3x = 15+3\\3x = 18\\\frac{3x}{3} = \frac{18}{3}\\x =  6

Hence,

The solution for given system of equations is: x = 6 and y = 3

Or

(6,3)

7 0
3 years ago
Which of the following are examples of inferential statistics?
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Testing random samples of lightbulbs produced by a company to confirm they work and testing a new drug on a random sample of patients to see how effective it is at curing the flu are examples of inferential statistics. The correct option among all the options that are given in the question are option "C" and option "E".
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Given that (-3, 5) is on the graph of f(x), find the corresponding point for the function f(x) − 4.
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Therefore, the corresponding point for the function f(x) - 4 is (-3, 5 - 4) = (-3, 1).
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Read 2 more answers
write an equation in slope intercept form parallel to the line y-4=3(x-1) and traveling through the point (-4,3)
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Y equals 3x plus 15.
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Question 11<br><br> (-10) + (10) = ??<br> A)20<br> B)-20<br> C)-0<br> D)0
Nastasia [14]

Answer:

0

Step-by-step explanation:

-10 + 10

-10 and 10 are additive inverses, so when we add them, it is equal to zero

-10 + 10 = 0

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3 years ago
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