All categories

3 years ago

How many solutions does the systems of equations have in the graph below?

Mathematics

1 answer:

Sonja [21]3 years ago

3 0

The lines are parallel
Parallel lines never cross or meet
Solutions to system of equations is the point where both lines intersect

Solution: none

You might be interested in

Kindly solve this question 6 too !!

Shkiper50 [21]

Answer:

$x=1$

Step-by-step explanation:

$~~~~~x = \dfrac{1}{2 - \dfrac 1{2-\dfrac{1}{2-x}}}\\\\\\\implies x = \dfrac{1}{2 - \dfrac 1{\dfrac{4-2x-1}{2-x}}}\\\\\\\implies x= \dfrac{1}{2 - \dfrac{2-x}{3-2x}}\\\\\\\implies x = \dfrac{1}{\dfrac{6-4x-2+x}{3-2x}}\\\\\\\implies x = \dfrac{3-2x}{4-3x}\\\\\\\implies 4x -3x^2 = 3-2x\\\\\\\implies 3x^2 -4x +3-2x = 0\\\\\\\implies 3x^2 -6x +3 = 0\\\\\\\implies 3(x^2 -2x +1) =0\\\\\\\implies x^2 -2x +1 = 0\\\\\\\implies (x-1)^2 = 0\\\\\\\implies x -1 = 0\\\\\\\implies x = 1$

7 0

2 years ago

What is the length of the side of a right triangle that has a side length of 7 cm and a hypotenuse that measures 25 cm?

Elenna [48]

It would be: 25² = 7² + b²
b² = 625 - 49
b = √576
b = 24

In short, Your Answer would be Option B

Hope this helps!

7 0

3 years ago

Find all solutions in the interval [0,2pi). 2sin^2(x)=sin(x)

SIZIF [17.4K]

$2\sin^2 x =\sin x \\\\\implies 2 \sin^2 x - \sin x=0\\\\\implies \sin x(2 \sin x -1) =0\\\\\implies \sin x = 0~~\text{or}~~ 2 \sin x -1 =0\\\\\implies \sin x = 0~~ \text{or}~ ~ \sin x = \dfrac 12\\\\\text{For}~~ \sin x = 0\\\\x=n\pi \\\\\text{In the interval,}~~[0, 2\pi)\\\\x=0, \pi\\\\\text{For}~~ \sin x = \dfrac 12\\\\x=n\pi+(-1)^n \dfrac{\pi}6 \\\\\text{In the interval,}~~[0, 2\pi)\\\\x=\dfrac{\pi}6,~ \dfrac{5\pi}6\\\\\text{Hence,}~ x = 0,~\pi,~ \dfrac{\pi}6, ~\dfrac{5 \pi}6$

4 0

2 years ago

Read 2 more answers

If f(x) = 3x + 10 and g(x) = 2x - 4, find (f- g)(x).

densk [106]

Answer:

(f-g)(x)=x+14

Step-by-step explanation:

Operations with Functions

Given two functions f(x) and g(x), the following operations are defined:

(f+g)(x)=f(x)+g(x)

(f-g)(x)=f(x)-g(x)

(f*g)(x)=f(x)*g(x)

(f/g)(x)=f(x)/g(x)

We have f(x)=3x+10 and g(x)=2x-4. Use the second formula to find

(f-g)(x)=(3x+10)-(2x-4)

Operating:

(f-g)(x)=3x+10-2x+4

Joining like terms:

(f-g)(x)=x+14

5 0

3 years ago

I NEED ASAP: What is the value of x?

Vitek1552 [10]

Answer:

x=48

Step-by-step explanation:

10x-20+6x+8=180 set the equations together and to equal 180 since a line is 180 degrees

Get the variables together

10x-20+6x+8=180

-6x -6x

4x-20+8=180

add together -20 and 8

4x-12=180

add -12 on each side

4x-12=180

+12 +12

4x=192

divide all by 4

x=48

6 0

3 years ago