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:
Answer:
1st graph: x ≤ -5
2nd graph: x > -5
3rd graph: x ≥ -5
4th graph: x > 5
Step-by-step explanation:
Answer:
x=1/2
Step-by-step explanation:
Answer:
Slope Intercept Form is y=2x.
Step-by-step explanation:
Since slope-intercept form is y=mx+b, you need to rewrite 2x-y=0 in Slope-Intercept Form.
First, you want to subtract 2x from both sides. That comes out to -y = (-2x.)
Then, multiply each term by -1. A negative times another negative is a possitive, so -y would become y, and -2x would become 2x, giving you the answer of y=2x.