The value of k=1
Explanation the perfect square is 9x2+6x+k=(3x+k)2.=9x2+6x/k+k2.comparing the 2 sides
Answer:
Step-by-step explanation:
We have
So we find GCD = 1
2) By back substitution we get
71407 (543) - 19387(2000) =1
So x = 543 and y = -19387
Because we got 71407 (543) - 19387(2000) =1
y cannot be positive
y can only be negative
Answer:
1\3
Step-by-step explanation:
Answer:
(d) 944 mm³
Step-by-step explanation:
The volume of a prism is given by the formula ...
V = Bh
where B is the area of the base, and h is the distance between bases.
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<h3>base area</h3>
Here, the base of the prism is a rectangle with a semicircle on top. The circle has a diameter of 9 mm, so a radius of 4.5 mm. The area of the semicircle is ...
A = 1/2πr² = 1/2π(4.5 mm)² ≈ 31.809 mm²
The area of the rectangle is the product of its length and width.
A = LW = (9 mm)(6 mm) = 54 mm²
So, the total base area is ...
31.809 mm² +54 mm² = 85.809 mm²
<h3>prism volume</h3>
The prism volume is this area multiplied by the length of the figure:
V = Bh = (85.809 mm²)(11 mm) ≈ 944 mm³
The volume of the figure is about 944 mm³.
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