Answer: It is (x - 3)(x + 5)
OK, a triangle first of all needs to have a certain condition satisfied. The length of one side of a triangle can not equal the length of 2 sides combined. So in a triangle a + b = c, a + b can not be less than c (a + b <span>≮ c</span>). Therefore, there are only a few possibilities that will work here. Let's find them:
16, 19, 43; no
16, 19, 50; no
16, 43, 50; yes
19, 43, 50; yes
Since only 2 out of 4 form triangles, there is a 50% chance you'll pick the right segments to form a triangle.
Answer:
Carmen had the largest red to green apple ratio of 5 : 3
Step-by-step explanation:
Red apples : Green apples
Carmen = 20 red apples : 12 green apples
= 20 / 12
= 5 / 3 = 1.67
= 5 : 3
Dylan = 12 red apples : 10 green apples
= 12 / 10
= 6 / 5 = 1.2
= 6 : 5
Eli = 16 red apples : 20 green apples
= 16 / 20
= 4 / 5 = 0.8
= 4 : 5
Carmen had the largest red to green apple ratio of 5 : 3
By replacing you get:
5*7-2*11+3*(-1) = 35-22-3= 10
so the answer is 10.
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Since 16 and 25 are perfect squares you can factor the first part.
4^2-5^2(b+3)^2
=(4-5(b+3))(4+5(b+3))
=(4-5b-15)(4+5b+15)
=(-11-5b)(19+5b)
Which can be expanded if necessary,
= -209+150b-25b^2
