The point (0,0) is a solution of (y - 5 < 3x - 4) and this can be determined by substituting the value of (x = 0) and (y = 0).
Given :
Point -- (0,0)
Check all the options in order to determine the inequalities whose solution is (0,0).
A) y + 5 < 3x - 4
Substitute the value of (x = 0) and (y = 0) in the above in equality.
5 < -4 which is not true. Therefore, this option is incorrect.
B) y - 4 < 3x - 5
Substitute the value of (x = 0) and (y = 0) in the above in equality.
-4 < -5 which is not true. Therefore, this option is incorrect.
C) y + 5 < 3x + 4
Substitute the value of (x = 0) and (y = 0) in the above in equality.
5 < 4 which is not true. Therefore, this option is incorrect.
D) y - 5 < 3x - 4
Substitute the value of (x = 0) and (y = 0) in the above in equality.
-5 < -4 which is true. Therefore, this option is correct.
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Answer:
13 units
Step-by-step explanation:
Use the pythagorean theorem and find the hypotenuse.
a^2 + b^2 =c^2
Draw the triangle by connecting the dots so you can see the legs.
one leg is 8 units and one leg is 10 units
8^2 + 10^2 = c^2
64 +100= c^2
164 = c^2
Find the square root of 164 which is 12.8. Round to 13
In order to solve for the time, we use the following formula:
Time = Distance divided by Rate
- Distance is how far location A is from location B
- Rate is the speed of the vehicle when it is travelling
Hence, we get the below solutiom:
Time = 395.1mi divided by 79mph
Time = 5 hours
Answer:- Time taken to reach Tennessee = 5 hours.
Explanation:-
Given: Speed of train traveling from new Orleans to Memphis=79 mph
Distance between new Orleans and Tennessee= 395.1 miles
To find time taken to reach Tennessee
We know that
Therefore,time taken to reach Tennessee = 5 hours.