All categories

2 years ago

How many solutions does this system of equations have? a. no solution b. 1 solution c. 2 solutions d. 3 solutions

Mathematics

1 answer:

amm18122 years ago

6 0

This system of equations have infinite solution.

<h3>how many solution does this equation have?</h3>

If solving an equation yields a statement that is true for a single value for the variable, like x = 3, then the equation has one solution. If solving an equation yields a statement that is always true, like 3 = 3, then the equation has infinitely many solutions.

Given that,

The system is 2x + y = 1 and 4x + 2y = 2. It is graphed below.

Solutions to a system are the intersection points. Since these two lines are the same line they intersect everywhere. There are infinitely many solutions.

2x+y = 1 ...........(1)

4x+2y = 2 .......(2)

Then from equation (2) dividing by 2 on both side

2x+y = 1

since both lines are same. They overlap to each other.it means the equation have many solution.

Hence,This system of equations have infinite solution.

To learn more about solution of an equation from the given link:

brainly.com/question/12159850

The above question is not complete.

How many solutions does this system of equations have?

(a) none

(b) exactly two

(d) exactly one

Graph of a system of linear equations. Equation 1 is 2x plus y equals 1.. Equation 2 is 4x plus 2y equals 2. The graphs are the same line.

#SPJ4

You might be interested in

Can someone help with math please? Urgent!

bogdanovich [222]

Answer:

I think the answer is B. I could be wrong tho, love.

6 0

3 years ago

Use a 30degrees and -60degrees right triangle to find the exact value of the following trigonometric expression. Cot 30 degrees=

LuckyWell [14K]

The dirty little secret about trig is students mostly just need to understand the 45/45/90 right isosceles triangle and the 30/60/90 triangle, which is half an isosceles triangle.

I'm sure you have seen it many times already, so I'll remind you in the 30/60/90 right triangle the sides opposite those angles are respectively in the ratio $1: \sqrt{3}:2$ . Remember the smallest side is always opposite the smallest angle, etc. These make a right triangle because

$1^2 + \sqrt{3}^2 = 2^2$

So in this hypotenuse 2 triangle, the length 1 side is opposite the 30 degree angle and the $\sqrt{3}$ side is adjacent to it.

We could jump right to the answer but let's enumerate all the trig functions. Really you should memorize the sine and cosine so you can get these quickly.

$\cos 30^\circ = \dfrac{ \textrm{adjacent} }{ \textrm{hypotenuse} } = \dfrac{\sqrt{3}}{2}$

$\sin 30^\circ = \dfrac{ \textrm{opposite} }{ \textrm{hypotenuse} } = \dfrac{1}{2}$

$\tan 30^\circ = \dfrac{ \textrm{opposite} }{ \textrm{adjacent} }= \dfrac{1}{\sqrt{3}} =\dfrac{\sqrt{3}}{3}$

$\cot 30^\circ = \dfrac{ \textrm{adjacent} }{ \textrm{opposite}} = \dfrac{\sqrt{3}}{1} =\sqrt{3}$

$\sec 30^\circ = \dfrac{ \textrm{hypotenuse} }{ \textrm{adjacent}}= \dfrac{2}{\sqrt{3}}$

$\csc 30^\circ = \dfrac{ \textrm{hypotenuse} }{ \textrm{opposite}}= \dfrac{2}{1} = 2$

We want the cotangent, another way to get it is

$\cot 30^\circ = \dfrac{\cos 30^\circ}{\sin 30^\circ} = \dfrac{\sqrt{3}/2}{1/2} = \sqrt{3}$

8 0

3 years ago

Read 2 more answers

Write the equation of a line parallel to the line y = 2x that passes through -2,-1

maksim [4K]

Answer:

y = 2x + 3

Step-by-step explanation:

A line parallel to y = 2x has exactly the same slope but a different y-intercept, b.

Start with y = mx + b, and replace m with 2, y with -1 and x with -2:

-1 = 2(-2) + b, or

-1 = -4 + b.

Then b = 3, and the desired equation is y = 2x + 3

7 0

3 years ago

Read 2 more answers

PLEASE HELP ILL GIVE BRAINLIST

sdas [7]

Answer:

Its hard to explain but essentially the zero in the 10 and 100 place cancels out the decimal essentially

8 0

3 years ago

15 less than 2 times a number is the same as 7 more than half of the number. what is the number?

romanna [79]

Answer:

x = 14 and 2/3

Step-by-step explanation:

Make an equation where x is the number.

2x - 15 = 7 + 1/2x

Then, solve the equation.

multiply both sides by 2 to get rid of the fraction

4x - 30 = 14 + x

subtract x from both sides

3x - 30 = 14

add 30 to both sides

3x = 44

divide both sides by 3

x = 14 and 2/3

5 0

3 years ago