Step-by-step explanation:
Given inequality is
.
To graph that inequality, first we need to graph the line
. Then shade it for the inequality symbol <.
Graphing line can be done using two points.
plug x=0 into
, we get:

Hence first point is (0,2)
Similarly plug any random number for x say x=4, we get:

Hence first point is (4,5).
Now we just need to graph both points and join them by a dotted line. because we have < not <=.
Next part is to test for shading.
Which can be done using any test point which is not on the given line. Say (0,0)
plug x=0,y=0 into
.


0<2
which is true, hence shading will be in direction of test point (0,0).
Hence final answer will be the choice which looks like the graph attached below;
Answer:
After the reflection over the line y = -x, the image of the point is: (-3,-2)
Step-by-step explanation:
When a given point is reflected over a line the point only changes place but the distance between the point and the line remains same.
Let (x,y) be a point on the plane
and
y = -x be a line on the plane
When a point is reflected over a line y = -x , the coordinates of the point are exchanged which means x becomes y and y becomes x and both are negated
So (x,y) will become (-y,-x)
Given point is:
(2,3)
After the reflection over the line y = -x, the image of the point is: (-3,-2)
Hello!
OK, so we need to find out 20 km = ? dam
What we know:
1 km = 100 dam
Now, lets multiply to get our answer:
20 × 100 = 2,000
This tells us that 20 km = 2,000 dam
Check:
2,000 ÷ 20 = 10
This tells us that we are CORRECT!
Answer: 20 km = 2,000 dam
Hope this helps! Good luck! (:
Answer:
Step-by-step explanation: 40% 132/330=0.4 and 0.4 as a percent is 40%
Answer: 2/3 times 4
Step-by-step explanation: