Y=x^2-4x+8 and 4x+y=12 so y=12-4x, insert y in the quadratic to get
12-4x=x^2-4x+8
12=x^2+8
0=x^2-4=(x-2)(x+2)
So the solutions are x=2 and x=-2.
Answer:
Step-by-step explanation:
20 : 440 = 60:x
Product of means = 440*60
Product of extremes = 20*x
20*x = 440*60
x = 440*60/20 = 440*3
x = 1320 miles
Answer:
32 (degrees)
Step-by-step explanation:
Triangles AED and ACB share a common angle A.
Two of the corresponding sides have the same ratio: AB=AD+DB=2AD, AC=AE+EC=2AE
Therefore the triangles are similar.
Therefore the corresponding angles are congruent, in particular
∠AED ≅ ∠ACB
∠ECF is just another name for ∠ACB
∠AED ≅ ∠ECF
So their measures must be the same,
m∠AED = m∠ECF = 32°
Answer:
Son of 15 years $180
Son of 10 years $120
Step-by-step explanation:
15 + 10 = 25
25 300
15 x = 300*15/25
x = 180
25 300
10 x = 300*10/25
x = 120
Son of 15 years $180
Son of 10 years $120
