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jasenka [17]
3 years ago
13

When 7 times a number is decreased by 8, the answer is the same as when 3 times the number is increased by 4. find the number. j

. grossman?
Mathematics
1 answer:
GarryVolchara [31]3 years ago
5 0
Let unknown number be x.

Given,

7x - 8 = 3x + 4

4x = 12

x = 3

Hence, the number is 3.
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2 years ago
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Consider an arbitrary ellipse x 2 a 2 + y 2 b 2 = 1. (Assume a, b > 0.) (a) Find a parametrization of the ellipse using the d
uysha [10]

Answer:

α(t) = (-a*Sin(t), b*Cos (t))    where t ∈ [0, 2π]

Step-by-step explanation:

Given an arbitrary ellipse (x²/a²) + (y²/b²) = 1       (a, b > 0)

The parametrization can be as follows

x = -a*Sin(t)

y = b*Cos (t)

then

α(t) = (-a*Sin(t), b*Cos (t))    where t ∈ [0, 2π]

If  t = 0

α(0) = (-a*Sin(0), b*Cos (0)) = (0, b)

If  t = π/2

α(π/2) = (-a*Sin(π/2), b*Cos (π/2)) = (-a, 0)

If  t = π

α(π) = (-a*Sin(π), b*Cos (π)) = (0, -b)

If  t = 3π/2

α(3π/2) = (-a*Sin(3π/2), b*Cos (3π/2)) = (a, 0)

If  t = 2π

α(2π) = (-a*Sin(2π), b*Cos (2π)) = (0, b)

We can see the sketch in the pic.

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3 years ago
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Simplify (4a^m+3)^3*(1/16a^1-m)^2
Marina86 [1]

The simplified answer is 27m^2

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2 years ago
There are four blue marbles, an unknown number of red (r) marbles, and six yellow marbles in a bag. Which expression represents
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Answer:

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The probability of choosing a blue, replacing it and then a red is

\frac{4}{10+r} × \frac{r}{10+r}  =  [tex]\frac{4r}{100+20r+ r^{2} /[tex]

Step-by-step explanation:

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3 years ago
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The equation y = x^2 has axis of symmetry of  x = 0

The answer to the question is y = x^2 + 2  which is y = x^2 moved vertically up to 2 units
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