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Find Slope
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4x + 2y = 2
2y= -4x + 2
y = -4/2 x + 2
y = -2x + 2
Slope = -2
Perpendicular slope = 1/2
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Insert slope into the general equation y = mx + c
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y = 1/2x + c
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Find y-intercept
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y = 1/2x + c
at (5,6)
6 = 1/2 (5) + c
6 = 5/2 + c
c = 6 - 5/2
c = 7/2
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Insert y-intercept into y = 1/2 x + c
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y = 1/2 x + 7/2
2y = x + 7
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Answer: 2y = x + 7
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The length of a rectangle:
L = 2 W + 5
The perimeter:
P = 2 L + 2 W
130 = 2 · ( 2 W + 5 ) + 2 W
130 = 4 W + 10 + 2 W
130 - 10 = 6 W
120 = 6 W
W = 120 : 6
W = 20 in
L = 2 · 20 + 5
L = 40 + 5
L = 45 in.
Finally the area:
A = L · W
A = 20 · 45
A = 900 in²
Answer: 4/7
Find the greatest common factor between 8 and 14, which is 2. Then divide both numbers by 2 and u get 4 and 7. Thus 8/14=4/7
The values of the trigonometric ratio is 1/4 , √15 / 4 , 4 .
<h3>What are Trigonometric Ratios ?</h3>
When a Triangle is a right angled Triangle then the ratios used to determine the sides and the angles of the triangle are called Trigonometric Ratio.
It is given that in triangle EFG , right angled at F ,
EG = 8 , FG = 2
By Pythagoras theorem
The length of EF is
8² = 2² + EF²
EF = √(64-4) = √60 = 2√15
The value of the trigonometric ratios is
sin E = Perpendicular / Hypotenuse
sin E = 2 / 8 = 1/4
sin G = 2√15 / 8 = √15 / 4
sec G = 1 / cos G = Hypotenuse / Base = 8 / 2 = 4
Therefore the values of the trigonometric ratio is 1/4 , √15 / 4 , 4 .
To know more about Trigonometric Ratio
brainly.com/question/1201366
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Answer:
<h2><u><em>
2x + 6</em></u></h2>
Step-by-step explanation:
Simplify: (x + 3)*(+ 2)
(x + 3)*(+ 2) =
2x + 6
