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To find a missing endpoint: find the slope of the line and (essentially) “add it” to the midpoint
slope formula: m = y2-y1/x2-x1
substitute: -1 - 3/-8 - 0 = -4/-8 = 1/2
m = 1/2
so the rise is 1 and the run is 2. now for the “adding”
the midpoint is at (0,3). the x value is 0 and they y value is 3. add the rise to the y value (as they are both going vertically) to get 4. add the run to the x value (as they are both going horizontally) to get 2.
now just make it into coordinates: (x,y) = (2, 4)
your missing endpoint is (2,4).
Answer:
7 × 2 = 14
<em>good luck, i hope this helps :)</em>
Answer:
The solution for the compound inequality = ∅
Step-by-step explanation:
The given inequality:
3x - 8 ≤ -5 & 2x - 7 > 5
<u>For the inequality 3x - 8 ≤ -5</u>
3x - 8 ≤ -5 add 8 to both sides
3x ≤ 3 divide both side by 3
x ≤ 1
So, the solution of the inequality 3x - 8 ≤ -5 ⇒ x ∈ (-∞ , 1]
<u>For the inequality 2x - 7 > 5</u>
2x - 7 > 5 add 7 to both sides
2x > 12 divide both sides 2
x > 6
So, the solution of the inequality 2x - 7 > 5 ⇒ x ∈ (6 , ∞)
The solution for the compound inequality will be:
(-∞ , 1] ∩ (6 , ∞) = ∅
See the attached figure.