Step-by-step explanation:
For the point (5,8) to be a solution to the equations, when you insert x=5 and y=8 , they have to equal to the given values
substituting (5,8) into 4x+y
4(5)+8
=20+8
=28
substituting(5,8) into x-y=3
5-8
= -3
Depends on where you are in the math book but this would be the most simple way.
n= number
sqar(-1) = i
Answer:b
Step-by-step explanation:
Answer:
1) ΔACD is a right triangle at C
=> sin 32° = AC/15
⇔ AC = sin 32°.15 ≈ 7.9 (cm)
2) ΔABC is a right triangle at C, using Pythagoras theorem, we have:
AB² = AC² + BC²
⇔ AB² = 7.9² + 9.7² = 156.5
⇒ AB = 12.5 (cm)
3) ΔABC is a right triangle at C
=> sin ∠BAC = BC/AB
⇔ sin ∠BAC = 9.7/12.5 = 0.776
⇒ ∠BAC ≈ 50.9°
4) ΔACD is a right triangle at C
=> cos 32° = CD/15
⇔ CD = cos32°.15
⇒ CD ≈ 12.72 (cm)
Step-by-step explanation:
Y= 360.5(1+0.03)^1
y= 360.5(1.03)^1
y= 360.5(1.03)
y= 371.315
y= 371.32