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3 years ago

Graph the linear equation with 3 points

Mathematics

1 answer:

barxatty [35]3 years ago

3 0

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

$x-y=1$

To graph the line find the intercepts

step 1

Find the y-intercept (value of y when the value of x is equal to zero)

For x=0

substitute in the linear equation

$0-y=1\\y=-1$

The y-intercept is the point (0,-1)

step 2

Find the x-intercept (value of x when the value of y is equal to zero)

For y=0

substitute in the linear equation

$x-0=1\\x=1$

The x-intercept is the point (1,0)

step 3

Find a third point

Note: It is important to specify that two points are sufficient to draw a line

assume the value of x=5

substitute in the linear equation and solve by y

$5-y=1\\y=5-1\\y=4$

The third point is (5,4)

step 4

Plot the points and connect them to graph the line

see the attached figure

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the first choice is correct :)

3 0

3 years ago

Solve the system of equations 5x+9y+9z=5 4x+9y+6z=10 2x+2y+5z=9

erma4kov [3.2K]

Answer:

{x,y,z} = {-116,28,37}

Step-by-step explanation:

// Solve equation [3] for the variable z

[3] 5z = -2x - 2y + 9

[3] z = -2x/5 - 2y/5 + 9/5

__________________________________________________________

// Plug this in for variable z in equation [1]

[1] 5x + 9y + 9•(-2x/5-2y/5+9/5) = 5

[1] 7x/5 + 27y/5 = -56/5

[1] 7x + 27y = -56

__________________________________________________________

// Plug this in for variable z in equation [2]

[2] 4x + 9y + 6•(-2x/5-2y/5+9/5) = 10

[2] 8x/5 + 33y/5 = -4/5

[2] 8x + 33y = -4

__________________________________________________________

// Solve equation [2] for the variable y

[2] 33y = -8x - 4

[2] y = -8x/33 - 4/33

__________________________________________________________

// Plug this in for variable y in equation [1]

[1] 7x + 27•(-8x/33-4/33) = -56

[1] 5x/11 = -580/11

[1] 5x = -580

__________________________________________________________

// Solve equation [1] for the variable x

[1] 5x = - 580

[1] x = - 116

__________________________________________________________

// By now we know this much :

x = -116

y = -8x/33-4/33

z = -2x/5-2y/5+9/5

__________________________________________________________

// Use the x value to solve for y

y = -(8/33)(-116)-4/33 = 28

__________________________________________________________

// Use the x and y values to solve for z

z = -(2/5)(-116)-(2/5)(28)+9/5 = 37

╦────────────────────────────╦

│Hope this helped _____________________│

│~Derelis ____________________________ │

╨___________________________________╨

4 0

3 years ago

What is the value of the function at x = 3? Enter your answer in the box.

butalik [34]

Answer:

Step-by-step explanation:

Recall a linear function, is a line on a graph made up of an infinite amount of points which satisfy the relationship. That means at x=3 there is a specific point on the line with an output. The value of a function at x=3 asks, what is the output y value for the input x value?

To find it, we locate 3 on the x-axis. We draw a vertical line directly to the line following the grid line. We mark the point on the line. We then draw a horizontal line directly to the y-axis following the grid line. The point we hit on the y-axis is the value of the function.

Here it is 4.

3 0

3 years ago

Pleasee help mee 12sin(x)-5cos(x)=6,5

abruzzese [7]

We turn -5,12 into polar coordinates. It's a Pythagorean Triple so

r = 13 Ф=arctan(-12/5) + 180° ( in the second quadrant )

so -5 = 13 cos Ф, 12 = 13 sin Ф

12 sin x - 5 cos x = 6.5

13 sinФ sin x + 13 cos Ф cos x = 6.5

13 cos(x - Ф) = 6.5

cos(x - Ф) = 1/2

cos(x - Ф) = cos 60°

x - Ф = ± 60° + 360° k integer k

x = Ф ± 60° + 360° k

x = 180° + arctan(-12/5) ± 60° + 360° k

That's the exact answer;

x ≈ 180° - 67.38° ± 60° + 360° k

x ≈ 122.62° ± 60° + 360° k

x ≈ { 62.62°, 182.62°} + 360° k, integer k

3 0

2 years ago

HELP I NEED HELP ASAP

Anni [7]

I think the answer is letter D.

:) have a good day

7 0

2 years ago