Rewrite equations:
x+y=14;42x+25y=486
Step: Solvex+y=14for x:
x+y=14
x+y+−y=14+−y(Add -y to both sides)
x=−y+14
Step: Substitute−y+14forxin42x+25y=486:
42x+25y=486
42(−y+14)+25y=486
−17y+588=486(Simplify both sides of the equation)
−17y+588+−588=486+−588(Add -588 to both sides)
−17y=−102
−17y
−17
=
−102
−17
(Divide both sides by -17)
y=6
Step: Substitute6foryinx=−y+14:
x=−y+14
x=−6+14
x=8(Simplify both sides of the equation)
On Fri, Sep 20, 2019 at 12:08 PM ESQULESE BLACK wrote:
Answer:
y = 9.84 mm
Step-by-step explanation:
<h2>Sine rule:</h2>
Law of sine:
a = y
A = 31°
b = 17 mm
B = 117°
Answer:
12m²
Step-by-step explanation:
For a rectangle, with length L and width W,
the perimeter is given as
Perimeter,
P = (2 x Length) + (2 x Width)
P = 2L + 2W
It is given that the perimeter is 48, hence
48 = 2L + 2W (divide both sides by 2)
24 = L + W
or
L = 24 - W -----> eq 1
Also realize that the Area of a Rectangle is given by
A = L x W -----> eq 2
Substituting eq 1 into eq 2,
A = (24 - W) x W
A = -W² + 24W
Recall that for a quadratic equation y = ax² + bx + c, the maxima or minima is given by y(max) = -b/2a
In this case, b = 24 and a = -1
-b/2a = -24/[ 2(-1) ] = 12
Hence for A to be maximum A(max) = 12m² (Answer)
Answer:
S=4.5
Step-by-step explanation:
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the area is 180 cm. to find the perimeter you would do 15+15+14+14 to get 54 cm. So for area you do (l×w) which is 15×14=180.
