Answer:
Find the equation of the line passing through the point (4, -1) and is perpendicular to the line having the equation: −8x−4y=−12
Step-by-step explanation:
Find the equation of the line passing through the point (4, -1) and is perpendicular to the line having the equation: −8x−4y=−12
I'm assuming the two cars start from the same point!
<span>Let's measure time t from the time when Car 2 starts. </span>
<span>Then the distances travelled by the cars up to the time of overtaking, t, must be the same. </span>
<span>And we need to measure all time in hours, so 18 mins. is 0.3 hours. </span>
<span>So, 45 x (0.3 + t) = 65 x t, so 20t = 13.5, so t = 13.5/20 = 27/40 = 40.5/60, i.e. 40 min 30 sec</span>
Answer:
<u>The length of GI is 90.06 units </u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
GH = 60 units
HI = 42 units
∠H = 123°
2. Using the Law of Cosines, we can find the length of GI, this way:
GI² = GH² + HI² - 2 * GH * HI * cos ∠H
Replacing with the real values:
GI² = 60² + 42² - 2 * 60 * 42 * cos ∠123°
GI² = 3,600 + 1,764 - 2 * 60 * 42 * -0.545
GI² = 3,600 + 1,764 - 2 * 60 * 42 * -0.545
GI² = 3,600 + 1,764 + 2,746.8
GI² = 8,110.8
GI = √ 8,110.8 = 90.06 units
Answer:
Option B:
Step-by-step explanation:
Given that:
By simplifying and factorizing we get:
By taking LCM we get:
I hope it will help you!