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Yanka [14]
3 years ago
13

Is the system of equations is consistent, consistent and coincident, or inconsistent? y=4x−4y=−4x+4 Select the correct answer fr

om the drop-down menu.
Mathematics
2 answers:
Luba_88 [7]3 years ago
8 0

Answer: It is consistent as the lines are intersecting lines and it has a unique solution

Step-by-step explanation:

Since we have given two systems of equation :

y=4x-4\\\\and\\\\y=4x+4

We need to check whether the system of equations is consistent or inconsistent.

As we know the formula for checking the consistency :

\frac{a_1}{a_2}=\frac{b_1}{b_2}=\frac{c_1}{c_2}

In first equation we have

y=4x-4\\\\4x-y=4\\\\Here,a_1=4,b_1=-1,c_1=4

similarly,

In the second equation we have

y=-4x+4\\\\4x+y=4\\\\Here,a_2=4,b_2=1,c_2=4

So, According to question, we have

\frac{1}{4}\neq \frac{1}{-1}\neq \frac{4}{4}\\\\0.25\neq -1\neq 1

Hence, it is consistent as the lines are intersecting lines and it has a unique solution.

IrinaVladis [17]3 years ago
4 0

Answer:

The given system of equations is consistent.

Step-by-step explanation:

The given equations are

y=4x-4         (1)

y=-4x+4           (2)

Add both equations,

2y=0

y=0

Put this value in 1.

0=4x-4

x=1

Using the elimination method the solution of given equations is (1,0).

Since the system of equations has a solution, therefore the given system of equations is consistent.

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What is the slope of the line that contains the point (13,-2) and (3,-2)
ra1l [238]

The slope of the line that contains the point (13,-2) and (3,-2) is 0

<em><u>Solution:</u></em>

Given that we have to find the slope of the line

The line contains the point (13,-2) and (3,-2)

<em><u>The slope of line is given as:</u></em>

m = \frac{y_2-y_1}{x_2-x_1}

Where, "m" is the slope of line

Here given points are (13,-2) and (3,-2)

(x_1, y_1) = (13, -2)\\\\(x_2, y_2) = (3, -2)

<em><u>Substituting the values in formula, we get,</u></em>

m = \frac{-2-(-2)}{3-13}\\\\m = \frac{-2+2}{3-13}\\\\m = 0

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3 0
3 years ago
How do you rename a mixed number as a fraction khan academy.
elena-s [515]

Answer:

There's no answer choices but I can give you an example.  

Step-by-step explanation:

  1. Let's say you have \frac{25}{4}.  
  2. Think about what the closest whole number 25/4 will give you.  Since 24 and 25 are close you can do 24/4 and get 6.  
  3. Now since you took one number away from the 25 you have a remainder.  
  4. Since the denominator is 4 your final answer would be 6\frac{1}{4}.  

Hopefully this helps.  

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Since it's such a high interest rate to pay, I think the logical rate would be annually because that's a lot of money for a bank to give

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3 years ago
3:4 = 15:20. True OR False?
7nadin3 [17]
True.
3 x 5 = 15
4 x 5 = 20

Therefore, 3:4 = 15:20

it is True

hope this helps
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3 years ago
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