Answer:
Sin (E) = √74/(2√23)
Step-by-step explanation:
Reference Angle = E
Hypotenuse = 2√23
Adjacent = 3√2
Opposite = DC = √(2√23)² - (3√2)²) = √(4*23 - 9*2) = √(92 - 18) = √74 (pythagorean theorem)
Recall SOHCAHTOA.
Thus,
Sin (E) = opp/hyp
Sin (E) = √74/(2√23)
Answer: 4(×+1) (×-1)
Step-by-step explanation:
Answer:

Step-by-step explanation:
Hi there!
<u>What we need to know:</u>
- Linear equations are typically organized in slope-intercept form:
where <em>m</em> is the slope and <em>b</em> is the y-intercept - Parallel lines always have the same slope (<em>m</em>)
<u>Determine the slope (</u><em><u>m</u></em><u>):</u>
<u />
<u />
The slope of the given line is
, since it is in the place of <em>m</em> in y=mx+b. Because parallel lines always have the same slope, the slope of a parallel line would also be
. Plug this into y=mx+b:

<u>Determine the y-intercept (</u><em><u>b</u></em><u>):</u>

To find the y-intercept, plug in the given point (6,14) and solve for <em>b</em>:

Therefore, the y-intercept of the line is 22. Plug this back into
:

I hope this helps!
Answer:
The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is the y-intercept. Subtract 2x 2 x from both sides of the equation. Divide each term by −6 - 6 and simplify. Divide each term in −6y=12−2x - 6 y = 12 - 2 x by −6 - 6 .
Step-by-step explanation:
hope that helps