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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.

You might be interested in
What is the first ordered pair and the second ordered pair?
Delvig [45]
When x=-5, y=(1/5)*(-5)-1=-2, so the first order pair is (-5,-2)
when y=-1, -1=(1/5)x-1, (1/5)x=0, x=0, so the second ordered pair is (0, -1)
7 0
3 years ago
A university knows from historical data that 25% of students in an introductory statistics class withdraw before completing the
Vikki [24]

Answer:

13.4%

Step-by-step explanation:

Use binomial probability:

P = nCr p^r q^(n-r)

where n is the number of trials,

r is the number of successes,

p is the probability of success,

and q is the probability of failure (1-p).

Here, n = 16, r = 2, p = 0.25, and q = 0.75.

P = ₁₆C₂ (0.25)² (0.75)¹⁶⁻²

P = 120 (0.25)² (0.75)¹⁴

P = 0.134

There is a 13.4% probability that exactly 2 students will withdraw.

8 0
3 years ago
If 1-cosA = 1/2 , Then find the value of sinA.
zimovet [89]

Step-by-step explanation:

Given :

1- cosA = 1/2

or, CosA = 1 -1/2

Therefore ; CosA = 1/2 = b/h

According to the Pythagoras theorem,

P = root under h^2 - b^2

= root under (2)^2 - (1)^2

= root under 4 -1

= root 3

Again,

SinA = P/h

= root 3 / 2

8 0
2 years ago
What is the result when 6x^3+25x^2+20x+46x
goldenfox [79]

Answer:

The answer to your question is 2x² - 29x + 26

Step-by-step explanation:

dividend =  6x³ - 25x² + 20x + 4

divisor    =  3x + 2

                             2x² - 29x + 26

               3x + 2    6x³ - 25x² + 20x + 4

                            -6x³ -   4x²  

                              0   - 29x² + 20x

                                   + 29x² + 58x

                                       0         78x + 4

                                                 -78x - 52

                                                    0   - 48

quotient =   2x² - 29x + 26

remainder = -48

Result =  2x² - 29x + 26 - 48/6x³ - 25x² + 20x + 4

6 0
3 years ago
What property does the following equation show? 5+7+9=7+5+9<br>​
dsp73

Answer: it’s commutative property.

Step-by-step explanation: commutative property is when you switch numbers but the answer still stays the same. Hope this helped!

8 0
2 years ago
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