Answer:
a) (2x+7)(x-4)
b) x = -7/2 and x = 4
Step-by-step explanation:
a) (2x ?)(x ?)
set up the above and considered factors of 28 that, when paired with 2, would give me -1x and -28 → (1·28, 2·14, 4·7)
after trial-and-error, found that 4 and 7 worked (used un-FOIL)
b) 2x + 7 = 0
2x = -7
x = -7/2
*********
x-4 = 0
x = 4
Answer: 15 feet
Step-by-step explanation:
Hi, since the situation forms a right triangle (see attachment) we have to apply the next trigonometric function.
Tan α = opposite side / adjacent side
Where α is the angle of elevation to the sun, , the opposite side (x) is the height of the tree, and the adjacent side is the length of the shadow.
Replacing with the values given:
Tan 31 = x /25
Tan 31 (25) =x
x = 15 feet
Feel free to ask for more if needed or if you did not understand something.
Answer:
n=31.5
Step-by-step explanation:
The given question is:

Cross multiply to get:

Expand the parenthesis:

Group similar terms:

Combine the like terms

Divide both sides by 4

n=31.5
It depends. Multiples of 10 are:
10, 20, 30, 40, 50...........
And a 2 digit number can be anything between 10 and 99.
To comment: Rodney would have 39 pieces of fruit.