All categories

4 years ago

Please graph this. x + y ≤ 6 x ≤ 4

Mathematics

1 answer:

Keith_Richards [23]4 years ago

8 0

Answer:

The graph attached

y ≤ 6 - x

x ≤ 4

Step-by-step explanation:

∵ x + y ≤ 6

∴ y ≤ 6 - x

* Lets draw the line y = 6 - x

* Assume that:

· x = -1 ⇒ y = 7 ⇒ (-1 , 7)

· x = 0 ⇒ y = 6 ⇒ (0 , 6)

· x = 1 ⇒ y = 5 ⇒ (1 , 5)

· x = 2 ⇒ y = 4 ⇒ (2 , 4)

* Plot the points on the graph and make the line sold ( ≤ )

* Shade all the region under the line

∵ x ≤ 4

* Lets draw the line x = 4

* All the points on this line have x-coordinate = 4 (vertical line)

* Draw a vertical line on x = 4 the line is sold (≤)

* Shade all the region left to the line

* The solutions of this system of equations will be on the

common shaded

parts of the two lines (red and blue together)

You might be interested in

n January 1989, the temperature in Nome, Alaska dropped to −49° F. Would the gas in the driver's truck have remained in liquid f

AnnyKZ [126]

Answer: The gas would not have remained liquid

Step-by-step explanation:

Since the freezing point of gasoline starts at -40°F, and the temperature that day was -49°F, we can conclude that the gasoline would not have remained liquid

8 0

2 years ago

Please help! Geometry.

FromTheMoon [43]

These are right triangles that will use either sin, cos, or tan, depending upon what you have to work with in regards to the reference angle. The first one has a reference angle of 51 with y being the side opposite it and 12 being the hypotenuse. The sin identity uses the side opposite over the hypotenuse as its formula:
$sin(51)= \frac{y}{12}$
and 12 sin(51) = y and y = 9.325
The second one has the reference angle as the unknown. You could use any of the identities here because you have all the sides of the triangle, but I will use sin again:
$sin \beta = \frac{12}{13}$
and $sin \beta =.9230769$
and $sin ^{-1}(.9230769)=67.38$
The next one has a referece angle of 13 with 24 being the side adjacent to it and the unknown being the side across from it. You will use the tangent identity here:
$tan(13)= \frac{x}{24}$
and 24 tan(13) = x so x = 5.540
The last one has a reference angle of 20 with the hypotenuse as the unknown x, and the side across from it as 10. Use the sin identity again:
$sin(20)= \frac{10}{x}$ and
$x sin(20)=10$ and
$x= \frac{10}{sin(20)}$ with x = 29.238
Everything is in regards to the reference angle; you HAVE to be able to identify the reference angle and then how the given sides are related to it.

7 0

3 years ago

HELP!

loris [4]

<h3>Answer: Choice C, Ro, 270 </h3>

270 degree counterclockwise rotation around the origin

=============================================================

Check out the diagram below. In the diagram, I only focus on points A and A'.

We have A = (-3,4) move to A ' = (4, 3). We see the x and y coordinates swap places. Then the new second coordinate -3 becomes positive, or it has flipped sign. So the rule applied here is $(x,y) \to (y,-x)$ which describes a 90 degree clockwise rotation; which is equivalent to a 270 degree counterclockwise rotation