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Lana71 [14]
1 year ago
8

Decide if the two lines y = -1/6x + 2 and y = 6x + 4 are parallel, perpendicular, or neither. Explain your answer.

Mathematics
1 answer:
stira [4]1 year ago
5 0

Given,

The equations of line are,

y = -1/6x + 2

y = 6x + 4

The standard form of equation of line is: y = mx+c

On comparing the equation of line to the standard equation then,

The slope of line is y = -1/6x + 2 is -1/6.

The slope of line is y = 6x + 2 is 6.

When the line are parallel then

m_1=m_2

When the line are perpendicular then,

m_1\times m_2=-1

Substituting the value of slopes then,

6\times\frac{-1}{6}=-1

Hence, the product of the slope of the line is equal to -1. So, the line are perpendicular to each other.

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EASY! PLEASE HELP, I AM STUCK
Marina86 [1]

Answer:

A. 16 seconds.

Step-by-step explanation:

Well, it would take him 4 seconds to get 4/16 of the way, or 1/4. So just multply that by 4 and boom, 16 seconds. (yes ik my technique is weird)

4 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B5x%20-%207%7D%20%20%3D%2010" id="TexFormula1" title=" \frac{5}{5x - 7} =
Alex17521 [72]

Answer:

x=1.5

Step-by-step explanation:

  1. 5=10(5x-7)
  2. 0.5=5x-7
  3. 7.5=5x
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3 0
2 years ago
Please help and thank you
hammer [34]

Answer:

<h2>D. g(x) = (x - 4)²</h2>

Step-by-step explanation:

f(x) + n - shift the graph n units up

f(x) - n - shift the graph n units down

f(x - n) - shift the graph n units to the right

f(x + n) - shift the graph n units to the left

=========================================

The graph of f(x) shifted by 4 units to the right. Therefore, the equation g(x) is:

g(x) = f(x - 4) = (x -4)²

4 0
3 years ago
7. Consider the expressions. 600 x 100 mL 600 x 10³ mL 6 x 10² x 1,000 mL a. Circle the expression that does not represent how t
jarptica [38.1K]

Answer:

600*100mL

Step-by-step explanation:

There are 1,000 milliliters in a liter. This means that in order to convert 600 liters to milliliters, you must multiply 600 by 1,000.

600 x 10^3 mL simplifies to 600 x 1,000 mL

The last expression is also 600 x 1,000 mL

The incorrect expression is the first one, since it is only multiplying by 100 mL instead of 1,000.

7 0
1 year ago
I need help with this question
Murrr4er [49]

The number of cows is given by

14\cdot 2^{\frac{y}{5}}

So, after k years, the number of cows will be

14\cdot 2^{\frac{y+k}{5}}

We want this number to be twice as much as the original:

14\cdot 2^{\frac{y+k}{5}} = 2(14\cdot 2^{\frac{y}{5}})

First of all, we can cancel 14 from both sides:

2^{\frac{y+k}{5}} = 2\cdot 2^{\frac{y}{5}}

Finally, on the right hand side, we can use the exponent rule

a^b\cdot a^c=a^{b+c}

to get

2^{\frac{y+k}{5}} = 2^{\frac{y}{5}+1}

To solve this equation, we must impose that the two exponents are the same:

\dfrac{y+k}{5} = \dfrac{y}{5}+1 \iff \dfrac{y+k}{5} = \dfrac{y+5}{5}

And clearly this is true if and only if k=5. So, it will take 5 years for the cow heard to double in number.

You can do the exact same steps to find the doubling time for the sheeps.

8 0
3 years ago
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