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:
B
on e2020
Step-by-step explanation:
D whould be the answer i think good luck and let me know how it goes
Answer:
a=9 ( I think)
Step-by-step explanation:
we know that sqaure roots always equal to the base
(like 3^2 =9 or (root of 5)^2 equals to 5)
so I used "a" as a variable
so we must set it up at a^2= 9^3
of course, you must solve a, by sqaure rooting it
thus, leaving it
a= 9^(3/2)
but take my answer with a grain of salt ^^"
Answer:
Step-by-step explanation:
we want to find the Hypotenuse of the triangle being made by the string , the ground and the height off the ground. Also we will have to subtract the small triangle of the boy's hand from the ground
the big triangle Hyp is found by using
SOH or Sin = Opp / Hyp
we know the sin and the Opposite soooo
Sin(40) = 30 / Hyp
Hyp = 30 / Sin(40) [ I'll use my calculator for this ]
Hyp = 46.67 m ( this is the Hypotenuse of the big triangle )
the small one is
Sin(40) = 1.5 / Hyp
Hyp = 1.5 / Sin(40) [calculator again ]
Hyp = 0.9641 m
Now subtract the small one from the big one
46.67 - 0.9641 = 45.7 m
rounding to the nearest meter the answer is 46 m