Answer:
YES
Step-by-step explanation:
For a triangle of sides a, b, c, we must have the following to be true to have a triangle.
a + b > c > |a - b|
b + c > a > |b - c|
a + c > b > |a - c|
if a=8, b=7, and c=9, we have that:
8 + 7 > 9 > 8 - 7, 15 > 9 > 1. TRUE.
7 + 9 > 8 > 9 - 7, 16 > 8 > 2. TRUE.
8 + 9 > 7 > 9 - 8, 17 > 7 > 1. TRUE.
Thus, a triangle can have sides of 8 cm, 7 cm, 9 cm.
Answer:
3
Step-by-step explanation:
Answer:
B 71/8
Step-by-step explanation:
2x² - 5x = -12
2x² - 5x + 12 = 0 (EQ 1)
expand 2(x - p)² + q = 0 ,
since (x - p)² = x² - 2xp + pq,
2x² - 4xp +2p² + q = 0 (EQ 2)
compare x⁰ (just a number, without x) in EQ 1 and EQ 2.
2p² + q = 12 (EQ 3)
compare x in EQ 1 and EQ 2,
-4p = -5
p = 5/4
Substitute p=5/4 into EQ 3,
2(5/4)² + q =12
q = 12 - 2(5/4)²
q= 71/8
Assuming x=x and y=y in both equations
add them together
-4x+y=6
<u>-5x-y=21 +</u>
-9x+0y=27
-9x=27
divide by 9
-x=3
multiply -1
x=-3
subsiutte
-4x+y=6
-4(-3)+y=6
12+y=6
subtract 12
y=-6
x=-3
y=-6
the soultion set is in (x,y) form
(-3,-6)
