Answer:
see explanation
Step-by-step explanation:
Given
- 2a - 5 > 3 ( add 5 to both sides )
- 2a > 8
Divide both sides by - 2, reversing the direction of the inequality sign as a consequence of dividing by a negative quantity
a < - 4
Since a is less than we require an open circle at - 4 on the number line.
Since less than the arrow head is pointing to the left, that is
Graph A, the top graph illustrates the solution
Answer:
Step-by-step explanation:
The absolute value is 62/3
The rectangle has a perimeter P of 58 inches.The length l is one more than 3 times the width w.write and solve a system of linear equations to find the length and width of the rectangle?
Answer:
Length(L)=22 inches
Width(W) = 7 inches
Step-by-step explanation:
GIven:-
Perimeter (p)=58 inches,
Length(L)= one more than 3 times the width(W)
Let, W=x ---------------------------------(equation 1
-----------------------(equation 2)
Here x is unknown and to find the Width(W) we have to find the value of x.
Now,
Perimeter of rectangle(p) = 2 times length(L) + 2 times width(W)

----------------(from equation 1)
----------------(given p=58 inches)




----------------------(equation 3)
Now substituting the value of equation 3 in equation 2.





as,
-----------------------(from equation 1)
inches -------------------(equation 3)
Therefore, Length(L) = 22 inches and Width(W) = 7 inches.
Again, guess and test should work perfectly fine. Since 2(x+y)=32, x+y = 16. Because y-2 =x, y could be = 9 and x = 7. Hope that help!