Answer:
- -1/3 < x < 3 or x = (-1/3, 3)
Step-by-step explanation:
<u>Given sides of a triangle:</u>
<u>Triangle inequality theorem:</u>
- Any side is smaller than the some of the other two.
<u>Apply to the given triangle:</u>
- 2x + 5 - x > 4 ⇒ x > -1
- 2x + 4 > 5 - x ⇒ 3x > -1 ⇒ x > -1/3
- 5 - x + 4 > 2x ⇒ 3x < 9 ⇒ x < 3
<u>Combine all the inequalities:</u>
- -1/3 < x < 3
- x = (-1/3, 3)
Answer:
15.65 foot
Step-by-step explanation:
Pythagoras theorem can be used
a² + b² = c²
a being 14
b being unknown ( x )
c being 21
hence,
14² + x² = 21²
196 + x² = 441
x = √245
= 15.65 foot (answer)
Answer:
x = 1/2 and x = 9/2
Step-by-step explanation:
To solve this equation: |2x-5|=4 we need two evaluate two cases:
|2x-5| = 2x-5 when x>5/2 ✅
|2x-5| = -2x+5 when x<5/2✅
Then, if x>5/2:
2x-5 = 4 ➡ x = 9/2
Then, if x>5/2:
-2x+5 = 4 ➡ x = 1/2
Then, the two solutions are: x = 1/2 and x = 9/2
X: 1, 2, 3, 4, 5
y: 0, 1, 0, 2, 0
function: (1,0) (2,1) (3,0) (4,2) (5,0)
function is identified as a special kind of relation wherein the x-coordinate will only have one corresponding y-coordinate.
inverse of the relation is the interchange of the x and y coordinates.
inverse: (0,1) (1,2) (0,3) (2,4) (0,5)
The inverse is not a function. There are more than one x-coordinate that results to different y-coordinates. This is made evident when x = 0 ; y = 1,3, and 5.
The answer is x=-5 and x=1
Explanation: you just look where the line crosses the x axis which is left to right
