Answer:
y = 1/2x + 5/2
P.S, this isn't geometry really. It's more like algebra :)
Step-by-step explanation:
Step 1: Find equation of line AB
m = (5 - 1)/(-2 - 0)
m = 4/-2
m = -2
y = -2x + 1
Step 2: Find slope of perpendicular line
<em>Take the negative reciprocal of line AB</em>
m = 1/2
y = 1/2x + b
Step 3: Find <em>b</em>
6 = 1/2(7) + b
6 = 7/2 + b
b = 5/2
Step 4: Rewrite perpendicular equation
y = 1/2x + 5/2
or
y = 0.5x + 2.5
Answer:
[A] -3(2x-2.5)
Step-by-step explanation:
<em>Given:</em>
<em>Which expression is equivalent to -6x + 7.5?</em>
<em>Solution:
Going through all answer choices:</em>
<em>[A] -3(2x-2.5)</em>
<em>Simplify</em>
<em>-6x + 7.5</em>
<em />
<em>[B] -3(2x + 2.5)</em>
<em>Simplify</em>
<em>-6x - 7.5</em>
<em />
<em>[C] -3(2x-7.5)</em>
<em>Simplify</em>
<em>-6x+22.5</em>
<em />
<em>[D] -3(2x + 7.5)</em>
<em>Simplify</em>
<em>-6x - 22.5</em>
<em />
<em>Hence, the answer is [A] -3(2x-2.5)</em>
<em />
<em />
<u><em>Kavinsky</em></u>
<em />
<em />
x = -1
Step-by-step explanation:
or
Since both sides have the same base, we can write
10x = 5x - 5
or
5x = -5
x = -1
Answer: 
=========================================================
Explanation:
Use the pythagorean trig identity 
and plug in the fact that 
Isolating sine leads to 
. I'm skipping the steps here, but let me know if you need to see them.
The result is negative because we're in quadrant 4, when y < 0 so it's when sine is negative.
Therefore,
Answer: 4.24 inches
Explanation: divide 212 by 50
