When you graph a system of linear equations why does the intersection of the tow lines represent the solution of the system?

Mathematics

1 answer:

solniwko [45]3 years ago

6 0

Step-by-step explanation:

step 1. when you graph 2 lines they must intersect unless they are parallel (same slope)

step 2. if they intersect then they have one point in common

step 3. that point in common solves both equations

step 4. when a point solves both equations it is called the solution.

You might be interested in

If you graph a function and it looks like a circle, it will pass the vertical line test.

fgiga [73]

Answer: false

Step-by-step explanation:

Since it is a circle, when you draw the line it will meet at two points which fails the vertical line test. In order to pass the vertical line test it must only meet at one point.

4 0

3 years ago

At how many points will two lines that are perpendicular intersect?

vesna_86 [32]

Lines that are perpendicular will intersect only once.
Lines that are parallel will NEVER intersect.

4 0

4 years ago

Read 2 more answers

Plz help ASAP I can't figure out

NeTakaya

Answer:

x = ±√17

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side of the equation, you do to the other.

Also note that the x has a power of 2. To isolate the x, simply root both sides of the equation.

x² = 17 ; √x² = √17 ; x = ±√17

6 0

4 years ago

A 3 by 4 rectangle is inscribed in circle. What is the circumference of the circle?

weeeeeb [17]

$look\ at\ the\ picture\\\\(2r)^2=3^2+4^2\\\\4r^2=9+16\\\\4r^2=25\ \ \ /:4\\\\r^2=\frac{25}{4}\\\\r=\sqrt\frac{25}{4}\\\\r=\frac{\sqrt{25}}{\sqrt4}\\\\r=\frac{5}{2}\\\\circumference\ of\ the\ circle:\\\\L=2\pi r;\ L=2\pi\cdot\frac{5}{2}=5\pi$

7 0

3 years ago

Can someone please help

Rashid [163]

Answer:

It shifted 6 units down

Step-by-step explanation:

Do the graph normally without the k and compare them side by side.

8 0

3 years ago