All categories

2 years ago

The system shown is _____. equivalent independent inconsistent

Mathematics

2 answers:

Kitty [74]2 years ago

5 0

Answer: First option is correct.

Step-by-step explanation:

Since we have shown a figure, in which we can see that one line coincides with the another line.

As we know the rule of consistency, if two lines are coincidence, then they have infinitely many solution.

Because one line lie on the other line.

So, it becomes equivalent, consistent and dependence.

So, the system shown is equivalent.

Hence, First option is correct.

Rzqust [24]2 years ago

3 0

We know that
If a system has at least one solution, it is said to be consistent.
When you graph the equations, both equations represent the same line
so
the system has an infinite number of solutions

If a consistent system has an infinite number of solutions, it is dependent.

therefore
the system is consistent, dependent and equivalent

the answer is
equivalent

You might be interested in

The volume of a large can of tuna fish can be calculated using the formula V= πr(r)h. Write an equation to find the radius, r, i

noname [10]

The equation $r=\sqrt\frac{V}{3.14h}$ can be used to find the radius.

Step-by-step explanation:

Given,

Volume of large can;

V=πr(r)h

V=πr²h

Dividing both sides by πh

$\frac{V}{\pi h}=\frac{r^2\pi h}{\pi h}\\\\\frac{V}{\pi h}=r^2\\\\r^2=\frac{V}{\pi h}$

Taking square root on both sides

$\sqrt{r^2}=\sqrt{\frac{V}{\pi h}}\\r=\sqrt\frac{V}{\pi h}$

Putting π=3.14

$r=\sqrt\frac{V}{3.14h}$

The equation $r=\sqrt\frac{V}{3.14h}$ can be used to find the radius.

Keywords: volume, square root

Learn more about square root at:

#LearnwithBrainly

5 0

2 years ago

According to the Rational Root Theorem, the following are potential fox) 2x2 +2x 24.roots of -4, -3, 2, 3, 4Which are actual roo

aksik [14]

Correct Answer: First Option

Explanation:

There are two ways to find the actual roots:

a) Either solve the given quadratic equation to find the actual roots

b) Or substitute the value of Possible Rational Roots one by one to find out which satisfies the given equation.

Method a is more convenient and less time consuming, so I'll be solving the given equation by factorization to find its actual roots. To find the actual roots set the given equation equal to zero and solve for x as given below:

$2x^{2} +2x-24=0\\ \\ 2(x^{2} +x-12)=0\\ \\ x^{2} +x-12=0\\ \\ x^{2} +4x-3x-12=0\\ \\ x(x+4)-3(x+4)=0\\ \\ (x-3)(x+4)=0\\ \\ x-3=0, x=3\\ \\ or\\\\x+4=0, x=-4$

This means the actual roots of the given equation are 3 and -4. So first option gives the correct answer.

7 0

2 years ago

Read 2 more answers

What is the proof the formula for cos(A+B)=cosAcosB-sinAsinB?

brilliants [131]

Given data, cos(A - B) = cosAcosB + sinAsinB
let, A=60' and B=30' ( here the ' sign bears degree) 
L.H.S = cos(A - B) 
=cos (60'-30) ( using value of A and B ) 
=cos30' 
= sqrt3/2 
R.H.S= cosAcosB + sinAsinB 
=cos60' cos30' + sin60' sin30' 
= 1/2* sqrt3/2+ sqrt3/2*1/2 
= sqrt3/4 + sqrt3/4 
=2 sqrt3/4 
= sqrt3/2 
so L.H.S =R.H.S or cos(A - B) = cosAcosB + sinAsinB

8 0

2 years ago

297,060 / 0.0004839 = Answer in Scientific Notation it Standard Notation

Valentin [98]

Answer:

6.1389 x 10^8

Step-by-step explanation:

3 0

2 years ago

The system of equations y = one-fourth x minus 1 and y = negative one-half x minus one-fourth is shown on the graph below. On a

love history [14]

Step-by-step explanation: