Expanded form is 4y - 13/5
or 4y - 2.6
Answer:
17.11 meters
Step-by-step explanation:
You are using trigonometry in this problem.
The height of the flagpole represents the side <u><em>opposite</em></u> the given angle.
The base of the triangle is given as 19 meters and represents the side <u><em>adjacent</em></u> to the given angle.
Out of the main trigonomentric functions (sine, cosine, and tangent), only tangent uses both the opposite and adjacent sides.
Tan(angle) = opposite / adjacent
If we plug in what we know into that equation: <em>tan(42 degrees) = h / 19</em>
This means that <em>your answer = 19 * tan(42) = 17.11</em> meters
Answer:
1,500
Step-by-step explanation:
Slope intercept form: y= mx +b
Parallel lines= same slope
Find slope of this line first:
2x + 3y =8
Subtract 2x from left side and add it to right side.
3y = -2x + 8
Divide by 3
Y= -2x/3 +8/3
slope= -2x/3
Y= mx + b —-} b is y intercept which is unknown and m is slope
Plug in -2/3x for slope.
Y= -2/3x +b
To find y intercept plug in point (-2, 3)
Y= -2/3x+b
3= -2/3(-2) +b
3 = 4/3+b
3-4/3 =b
5/3 =b
Y= -2/3x +5/3 is new equation