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sergeinik [125]
3 years ago
9

3k^2-11k-4=0 solve with quadratic formula

Mathematics
1 answer:
lawyer [7]3 years ago
8 0
It should be k= 4 or -1/3
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Gerardo says that a cube with edges that measure 10 centimeters has a volume that is twice as much as a cube with sides that mea
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He is wrong.
The 10 inch cube is bigger than the 5 inch cube by 5 cm in EACH DIRECTION.
So, the 10 inch cube should be twice as big in volume by a factor of 2*2*2
=8
Okay let's see.
5 cm cube volume = 5*5*5 = 125 cc
10 cm cube volume = 10 * 10 * 10 = 1,000 cc

1,000 / 125 = 8



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Which problem can be solved with this equation?
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What type of triangle is formed by joining the points D(7, 3), E(8, 1), and F(4, -1)?
attashe74 [19]
D(7,3) \\
E(8,1) \\
F(4,-1)

The lengths of the sides of the triangle:
\overline{DE}=\sqrt{(8-7)^2+(1-3)^2}=\sqrt{1^2+(-2)^2}=\sqrt{1+4}=\sqrt{5} \\ \\
\overline{DF}=\sqrt{(4-7)^2+(-1-3)^2}=\sqrt{(-3)^2+(-4)^2}=\sqrt{9+16}=\sqrt{25}=5 \\ \\
\overline{EF}=\sqrt{(4-8)^2+(-1-1)^2}=\sqrt{(-4)^2+(-2)^2}=\sqrt{16+4}=\sqrt{20}= \\
=\sqrt{4 \times 5}=2\sqrt{5}

No sides are equal to each other, so it's a scalene triangle.

Check if the sides satisfy the Pythagorean theorem:
(\sqrt{5})^2 + (2\sqrt{5})^2=5^2 \\
5+20=25 \\
25=25 \\
true
They do, so it's a right triangle.

The triangle is a right scalene triangle.
7 0
3 years ago
Read 2 more answers
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