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Anna35 [415]
3 years ago
8

-2 (-7k + 4) + 9 = -13

Mathematics
2 answers:
Vika [28.1K]3 years ago
5 0
<span>-2 (-7k + 4) + 9 = -13
Use distributive property
14k - 8 + 9 = -13
Add 8 to both sides
14k + 9= -5
Subtract 9 from both sides
14k= -14
Divide 14 on both sides
Final Answer: k= -1</span>
svp [43]3 years ago
3 0
The answer is -1.


-2(-7k + 4) = -13 - 9

-2(-7k + 4) = -22

-7k + 4 = -22/2

-7k + 4 = 22/2

-7k + 4 = 11

-7k = 11 - 4

-7k = 7

k = -1.
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Write the slope intercept form of a line through (6, -7) and parallel to y= x - 9
AveGali [126]

Answer:

y = x - 13

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = x - 9 ← is in slope- intercept form

with slope m = 1

Parallel lines have equal slopes, thus

y = x + c ← is the partial equation of the parallel line

To find c substitute (6, - 7) into the partial equation

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3 years ago
The mass of a sheet of metal varies jointly with its area and its thickness. A sheet of metal of area 250cm2 and thickness 1mm h
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The Formula of the relation is M = 8AT.

The mass of the metal sheet is 960 g.

The expression below shows the variation between the mass of the sheet (M), Area of the Sheet(A), and thickness (T).

Proportionality:

  • M ∝ AT

Removing the proportionality sign,

  • M = KAT

Where:

  • K = constant of proportionality.

make K the subject of the equation:

  • K = M/KT.................... Equation 1

From the question,

Given:

  • M = 200 g
  • A = 250 cm²
  • T = 1 mm = 0.1 cm

Susbtitute into equation 1

  • K = 200/(250×0.1)
  • K = 8 g/cm³

Formula:

  • M = 8AT................. equation 2

Hence the formula of the relation is M = 8AT

If,

  • A = 400 cm²
  • T = 3 mm = 0.3

Substitute these values into equation 2

  • M = 8(400)(0.3)
  • M = 960 g

Hence,  the mass of the metal sheet is 960 g

Learn more about joint variation here: brainly.com/question/26047253

6 0
2 years ago
this year, the winner of the new york marathon ran the 8 kilometer event in 24 minutes. what is the runners unit rate
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You are biking to the park. After six minutes 40% of the distance still need to be traveled. How long does it take to bike to th
nikklg [1K]

Answer:

y = (100-10x)\%

It takes <em>10 minutes</em> to the park.

Step-by-step explanation:

Given that:

Time taken = 6 minutes

Distance left to be traveled = 40%

To find:

The equation to represent the distance y, that still needs to be traveled after x minutes.

Solution:

As per given statement, distance traveled in 6 minutes = 60%

We can say that:

Distance traveled each minute = \frac{60\%}{6} = 10%

After 1 minute, distance traveled = 10%

Distance left = 100 - 10 = 90%

After 2 minutes, distance traveled = 20%

Distance left = 100 - 20 = 80%

After x minutes, distance traveled = 10x%

Distance left, y = (100 - 10x)%

Therefore, the equation is:

y = (100-10x)\%

Time taken by the bike to reach to the park can be found by putting y = 0 (i.e. distance left to be traveled = 0)

0 = 100 -10x\\\Rightarrow 10x = 100\\\Rightarrow x = \bold{10\ minutes}

8 0
3 years ago
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