Answer:
y=x
Step-by-step explanation:
We want a line parallel to y =x+42
The slope of y =x+42 is 1
Parallel lines have the same slope
We have the slope m=1 and a point (2,2)
We can use point slope form to write a line
y-y1 = m(x-x1)
y-2 = 1(x-2) point slope form
Changing to slope intercept form
y-2 = x-2
Add 2 to each side
y-2+2 = x-2+2
y=x
Step 1.
Calculate measure of angle α:

Step 2.
Calculate what fraction of the angle 360° is the angle α:

Step 3.
Calculate the circumference of the Earth (circle):

Step 4.
The length of arc is equal 1/40 of the circumference:


<h3>Answer: A) 628 miles</h3>
Step 1: Subtract -2 from both sides.<span><span><span><span>
m2</span>+<span>4m</span></span>−<span>(<span>−2</span>)</span></span>=<span><span>−2</span>−<span>(<span>−2</span>)</span></span></span><span><span><span><span>
m2</span>+<span>4m</span></span>+2</span>=0</span>
Step 2: Use quadratic formula with a=1, b=4, c=2.<span>
m=<span><span><span>−b</span>±<span>√<span><span>b2</span>−<span><span>4a</span>c</span></span></span></span><span>2a</span></span></span><span>
m=<span><span><span>−<span>(4)</span></span>±<span>√<span><span><span>(4)</span>2</span>−<span><span>4<span>(1)</span></span><span>(2)</span></span></span></span></span><span>2<span>(1)</span></span></span></span><span>
m=<span><span><span>−4</span>±<span>√8</span></span>2</span></span><span><span>
m=<span><span>−2</span>+<span><span><span>√2</span><span> or </span></span>m</span></span></span>=<span><span>−2</span>−<span>√2</span></span></span><span>
</span>
Answer: LOL
Step-by-step explanation: