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Answer:
5x -3y + 11 = 0 .
Step-by-step explanation:
Firstly let's find the slope of the line by converting the equation into slope intercept form as ,
=> 3x +5y = 7
=> 5y = 7 - 3x
=> y = (7-3x)/5
=> y = -3/5x + 7/5
- On comparing this equation to the slope intercept form y = mx + c ,
=> m = -⅗
Now the slope of the line perpendicular to this line will be , say m'
=> m' =- 1/m
=> m' = -1/-⅗
=> m = 5/3
- Now the line passes through (-1,2 ) . so on using point slope form , we get ,
=> ( x - x1) m = ( y - y1)
=> ( x - (-1)) × 5/3 = y - 2
=> ( x +1)×5 = 3( y -2)
=> 5x + 5 = 3y -6
=> 5x - 3y +5 +6=0
=> 5x -3y +11 = 0
<h3>
• Hence the equation of line perpendicular to the given line is <u>5</u><u>x</u><u> </u><u>-3y </u><u>+</u><u> </u><u>1</u><u>1</u><u> </u><u>=</u><u> </u><u>0</u><u> </u><u>.</u></h3>
Answer:
24 ft
Step-by-step explanation:
The first step is to have uniform units hence we convert the inches to ft.
Conversion
1 inch is equal to 0.0833 ft hence 9 inches will be 9*0.0833=0.75 ft
The shadow of the man is 4.75 ft while actual height is 6ft
By cross multiplication concept, we evaluate that
6ft=4.75 ft shdow
X ft= 19 ft shadow
X=6*19/4.75=24 ft
Therefore, the actual beam height is 24 ft
<span>Simplifying
3a + -2b = 5a + 6b
Solving
3a + -2b = 5a + 6b
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '-5a' to each side of the equation.
3a + -5a + -2b = 5a + -5a + 6b
Combine like terms: 3a + -5a = -2a
-2a + -2b = 5a + -5a + 6b
Combine like terms: 5a + -5a = 0
-2a + -2b = 0 + 6b
-2a + -2b = 6b
Add '2b' to each side of the equation.
-2a + -2b + 2b = 6b + 2b
Combine like terms: -2b + 2b = 0
-2a + 0 = 6b + 2b
-2a = 6b + 2b
Combine like terms: 6b + 2b = 8b
-2a = 8b
Divide each side by '-2'.
a = -4b
Simplifying
a = -4b</span>