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ANEK [815]
4 years ago
11

Linear equations. write the standard form of an equation of the

Mathematics
1 answer:
erastova [34]4 years ago
7 0

Answer:

The standard form of an equation of the line that passes through the given point having slope is y-y_{1} =m(x-x_{1}

Step-by-step explanation:

The standard form of an equation of the line that passes through the given point ((x_{1} ,y_{1} ) and having slope m is

y-y_{1} =m(x-x_{1}

another form of an equation of the line that passes through the given point ((x_{0} ,y_{0} ) and having slope m is

y-0 =m(x-0)

   y=m x

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27 The data in the table below shows a linear relationship.
KatRina [158]

Answer:

y-intercept is at (0,3)

Step-by-step explanation:

3 0
3 years ago
How do you solve 12x =144
julia-pushkina [17]
1st. Try to make x by itself. Divide 12 on each side.
After it will look like this

x=12
8 0
3 years ago
Read 2 more answers
3. Solve the equation using square roots. If the equation has no real solution, write
noname [10]
3) x² - 121 = 0

x² = 121

x' = +√121

x' = 11

_______________

x'' = - √121

x'' = -11

Solution ⇒ S{-11 ; 11 } or (x-11)(x+11)

4) 4x² + 144 = 0

4x² = -144

x² = -144 / 4

x² = -36

x = √-36

No solution ⇒ S = ∅

5) z²+10z+21 = 0

Δ = 10² - 4(1)(21)

Δ = 100 - 84

Δ = 16

x' = (-10+4) / 2 = -6/2 = -3

x'' = (-10-4) / 2 = -14/2 = -7

Solution ⇒ S{ -7 ; -3} or (x+3)(x+7)
4 0
3 years ago
Neil drives at an average speed of 60 miles/hour to reach his destination 480 miles away. On the way back, he decides to increas
daser333 [38]

Answer:

  480/(x+60) ≤ 7

Step-by-step explanation:

We can use the relations ...

  time = distance/speed

  distance = speed×time

  speed = distance/time

to write the required inequality any of several ways.

Since the problem is posed in terms of time (7 hours) and an increase in speed (x), we can write the time inequality as ...

  480/(60+x) ≤ 7

Multiplying this by the denominator gives us a distance inequality:

  7(60+x) ≥ 480 . . . . . . at his desired speed, Neil will go no less than 480 miles in 7 hours

Or, we can write an inequality for the increase in speed directly:

  480/7 -60 ≤ x . . . . . . x is at least the difference between the speed of 480 miles in 7 hours and the speed of 60 miles per hour

___

Any of the above inequalities will give the desired value of x.

4 0
4 years ago
How to solve <br> 12 x 3/4
tamaranim1 [39]

Answer:

9

Step-by-step explanation:

Write the fractions in fraction form 12/1 x 3/4

Multiply numerator x numerator and denominatior x denominato

You will get 36/4

36/4 = 9

5 0
4 years ago
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