The expression - x - 9x^2 + 12x^2 + 7 has 4 terms:
-x, -9x^2, 12x^2, 7
Like terms are:
-9x^2, 12x^2
Answer:
W > 0.5L
Perimeter:
2L + 2W < 180
2L + 2(0.5L) < 180
2L + 1L < 180
3L < 180
÷3 ÷3
L < 60
Length should be less than or equal to 60 inches while width should be greater than or equal to 30 inches.
The length of the brace required is 4.3m
What is sine rule?
In a ΔABC a, b and c are the sides and A, B and C are angles then,

We can find the length, l as shown below:
Let AB=3m, BC=2m and AC=l
Let ∠A=25°
So, in ΔABC




∠C=39.34°
∠A+∠B+∠C=180°
∠B=180°-25°-39.34°
∠B=115.66°



l=4.2659
Rounding to nearest tenth of meter.
l=4.3m
Hence, the length of the brace required is 4.3m
Learn more about Sine Rule here:
brainly.com/question/25852087
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Hello,
Assume Ax+By+Cz+D=0 the plane 's equation.
p=(0,0,0)==>A*0+B*0+C*0+D=0==>D=0
q=(0,1,0)==>A*0+B*1+C*0+0=0==>B=0
r=(1,2,3)==>A*1+0*2+C*3+0=0==>A=-3C
Let C=1==>A=-3
An equation of the plane is -3x+z=0
Answer:
Mark me as brainlist
Step-by-step explanation:
P = Perimeter
L = Length
W = Width
Perimeter of rectangle = L + L + W + W
or P = 2L + 2W
You know:
P = 36 inches
L = 2W [length is(=) 2 times it's width]
W = ?
P = 2L + 2W
Substitute/plug in what you know, plug in 2W for L since L = 2W
36 = 2(2W) + 2W Simplify
36 = 4W + 2W
36 = 6W Divide 6 on both sides
6 = W Now that you know the width, you can find the length:
L = 2W
L = 2(6)
L = 12
L = 12 in
W = 6 in
PROOF
P = 2(12) + 2(6)
P = 24 + 12
P = 36