Most likely you are expected to recognize that side lengths 2, 3, 5 will result in a "triangle" of zero area (looks like a line segment).
The appropriate choice is
(5, 3, 2)
_____
Some authors write the triangle inequality as a + b ≥ c for any assignment of a, b, c to side lengths. The "or equal to ..." allows the triangle to have zero area (looks like a line segment). Other authors insist the inequality not include the "or equal to" case. It looks like your text's author is in the latter camp.
Answer:
Step-by-step explanation:
= 105.57
= 105.6 cm²
Answer:
Step-by-step explanation:
The given polynomial equation is
We perform the synthetic division as shown in the attachment by dividing by x-2.
This gives a remainder of 0 and a quotient of
This means the polynomial equation becomes:
We factor the quadratic term by splitting the middle term;
Collect common factors again:
The solution is:
Hey there!
-2<3x+1
= 3x + 1 < -2
SUBTRACT 1 to BOTH SIDES
3x + 1 - 1 < -2 + 1
CANCEL out: 1 - 1 because that gives you 0
KEEP: -2 + 1 because that helps you solve for x
-2 + 1 = -3
New EQUATION: 3x > -3
DIVIDE 3 to BOTH SIDES
3x/3 > -3/3
CANCEL out: 3/3 because that gives you 1
KEE3 -3/3 because that helps us compare for x
-3/3 = -1
Answer to the equation: x > -1
OVERALL Answer: x > -1; It is an OPENED circle shaded to the right starting at -1 (Option A.)
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
