Answer:
2a+65b+13
Step-by-step explanation:
2a+
65b
+13
2x + 4 = x^2 + x - 2
x^2 + x - 2 - 4 - 2x = 0
x^2 - x - 6 = 0
(x - 3)(x + 2) = 0
x - 3 = 0 y = 2x + 4
x = 3 y = 2(3) + 4
y = 10
x + 2 = 0 y = 2x + 4
x = -2 y = 2(-2) + 4
y = 0
solutions are : (3,10) and (-2,0) <===
Answer:
y = 3
Step-by-step explanation:
4y + 3 = 15 First subtract 3 from each side.
4y + 3 - 3 = 15 - 3 The 3 on the left will cancel.
4y = 15 - 3
4y = 12 Divide each side by 4
4y/4 = 12/4 The 4 on the left will cancel because 4/4 = 1
y = 12/4
y = 3
Answer:
Since we have BC ║ DE, we know that:
AB/AD = BC/DE
12/(12 + 4) = BC/12
12/16 = BC/12
BC = (12 · 12)/16 = 9 (in)
Applying the pythagorean, we have:
AB² + BC² = AC²
12² + 9² = AC²
225 = AC²
AC = √225 = 15 (in)
Using the information about the parallel lines again, we have:
AC/CE = AB/BD
15/CE = 12/4
CE = (15 · 4)/12 = 5 (in)
So the answer is B