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10.07.2019 •
Mathematics
Find the equation of the line perpendicular to 4y=x+3 that passes through the point (4,4)
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Ответ:
y=1/4x +3/4
as perpendicular, gradient is flipped and made into a minus. so is -4.
y=-4x +c
substitute values in to find c
4=-4 (4)+c
4=-16+c
c=20
y=-4x +20
Ответ:
L=3w-35
By inputting this into the equation to find the perimeter we get:
2(3w-35)+2w=190
Distribute
6w-70+2w=190
Add like terms
8w=260
Divide both sides by 8
w=32.5
The width is 32.5cm
To find the length input w into the equation for length
L=3(32.5)-35
L=97.5-35
L=62.5
The length is 62.5cm
Check that the solution is correct by inputting the solutions to the perimeter equation
2L+2w=190
2(62.5)+2(32.5)=190
125+65=190
190=190
I hope this helps :)