<h2>
Range of x </h2><h3>
and x>6</h3><h3>
Step-by-step explanation:</h3>
Given AB = 4x + 5, BC = 3x - 2 and AC 9x -5
The sum of the length of any two sides of a triangle is greater than the length of third side.
Case I
AB + BC > AC
⇔4x +5 +3x -2 > 9x -5
⇔7x + 3 >9x - 5
⇔ 7x -9x > -5 -3
⇔-2x > -8
⇔x <4
Case II
if AB+AC > BC
4x +5 +9x -5> 3x -2
⇔13x >3x -2
⇔ 13x -3x> -2
⇔10x > -2
⇔x >
Case III
AC+BC > AB
⇔9x - 5 +3x - 2 > 4x +5
⇔6x -7 > 4x +5
⇔6x -4x >5+7
⇔2x > 12
⇔x > 6
Answer:
A.
Step-by-step explanation:
In this series we see that an extra two dots (one on the top, one on the bottom of the same column) are being added on the left side.
-> It starts out at 3
-> Next it becomes 5, with the extra two on the left side
-> Now it is 7, with the last set of extra two also on the left side
Using this logic, we can infer that the most likely answer will be A.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
Answer: Yes, and she will have 4 cups leftover
Step-by-step explanation:
1 Quart = 4 cups
Convert the quarts: 7 * 4 = 28
Find the amount of cups needed in total: 12* 2 = 24
Subtract to see if possible: 28- 24 = 4
Answer:
b) If the graphs of the linear equations in a system are parallel, there is no solution to the given system of equation.
Step-by-step explanation:
Parallel Lines:
Two straight lines l and m are said to be parallel if they do not intersect at any point, if infinitely extended in either direction.
Now, if the graphs of the linear equations in a system are parallel
⇒ By the definition, both the graphs have NO INTERSECTING POINT.
⇒There is not even one common point available to the given system of
equation.
Hence, There is no solution to the given system of equation.