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s2008m [1.1K]
3 years ago
10

(-8m + 1) + (3m + 7)= 9m + 10m​

Mathematics
1 answer:
hoa [83]3 years ago
4 0

Answer:

m=1/3

Step-by-step explanation:

trust

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If n denotes a number to the left of 0 on the number line such that the square of n is less than 1/100, then the reciprocal of n
andriy [413]

Answer: E. Greater than 10

Step-by-step explanation:

First, know that number to the left of a number line are negative and the square of any negative number will be positive and a perfect square.

Since the square of the unknown number is less than 1/100 i.e 0.01 then the possible unknown number 'n' can be -0.01 itself, of which the square of -0.01 will give us 0.0001 (1/10,000) i.e a value less than 0.01.

The reciprocal of 1/10000 is 10,000 which is a value greater than 10.

6 0
3 years ago
What is the area of the rectangle?
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  • Length=L=3cm
  • Breadth=B=2cm

Area

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7 0
2 years ago
Complete the table for the given rule.<br> Rule: y=2x
Contact [7]
9 - 18
5 - 10
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Work —
First line:
y = 2 (9)
y = 18

Second line:
10 = 2x
5 = x

Third line:
y = 2 (1)
y = 2
4 0
3 years ago
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A homogeneous rectangular lamina has constant area density ρ. Find the moment of inertia of the lamina about one corner
frozen [14]

Answer:

I_{corner} =\frac{\rho _{ab}}{3}(a^2+b^2)

Step-by-step explanation:

By applying the concept of calculus;

the moment of inertia of the lamina about one corner I_{corner} is:

I_{corner} = \int\limits \int\limits_R (x^2+y^2)  \rho d A \\ \\ I_{corner} = \int\limits^a_0\int\limits^b_0 \rho(x^2+y^2) dy dx

where :

(a and b are the length and the breath of the rectangle respectively )

I_{corner} =  \rho \int\limits^a_0 {x^2y}+ \frac{y^3}{3} |^ {^ b}_{_0} \, dx

I_{corner} =  \rho \int\limits^a_0 (bx^2 + \frac{b^3}{3})dx

I_{corner} =  \rho [\frac{bx^3}{3}+ \frac{b^3x}{3}]^ {^ a} _{_0}

I_{corner} =  \rho [\frac{a^3b}{3}+ \frac{ab^3}{3}]

I_{corner} =\frac{\rho _{ab}}{3}(a^2+b^2)

Thus; the moment of inertia of the lamina about one corner is I_{corner} =\frac{\rho _{ab}}{3}(a^2+b^2)

7 0
3 years ago
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