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lions [1.4K]
3 years ago
15

Kimberly shaded 4/8 of a sheet of notebook paper. Maria says she shaded 1/2 of the paper. Are the two fractions equivalent? If s

o, what is another equivalent fraction?
Mathematics
2 answers:
Shalnov [3]3 years ago
7 0

Answer:

They are equivalent, another fraction is 6/12

Hope this helps!!! :)

Illusion [34]3 years ago
3 0

Answer:

They are equalivalent. 4 is half of 4 which makes is equal to 1/2

Step-by-step explanation:

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Write the equation of a hyperbola centered at the origin with x-intercepts +/- 4 and foci of +/-2(sqrt5)
Xelga [282]

Answer:

\frac{x^2}{16}-\frac{b^2}{4}=1

Step-by-step explanation:

A hyperbola is the locus of a point such that its distance from a point to two points (known as foci) is a positive constant.

The standard equation of a hyperbola centered at the origin with transverse on the x axis is given as:

\frac{x^2}{a^2}-\frac{y^2}{b^2}=1

The coordinates of the foci is at (±c, 0), where c² = a² + b²

Given that  a hyperbola centered at the origin with x-intercepts +/- 4 and foci of +/-2√5. Since the x intercept is ±4, this means that at y = 0, x = 4. Substituting in the standard equation:

\frac{x^2}{a^2}-\frac{y^2}{b^2}=1\\\frac{4^2}{a^2}-\frac{0}{b^2} =1\\\frac{4^2}{a^2}=1\\ a^2=16\\a=\sqrt{16}=4\\ a=4

The foci c is at +/-2√5, using c² = a² + b²:

c^2=a^2+b^2\\(2\sqrt{5} )^2=4^2+b^2\\20 = 16 + b^2\\b^2=20-16\\b^2=4\\b=\sqrt{4}=2\\ b=2

Substituting the value of a and b to get the equation of the hyperbola:

\frac{x^2}{a^2}-\frac{y^2}{b^2}=1\\\\\frac{x^2}{16}-\frac{b^2}{4}=1

5 0
3 years ago
F(x) = x3 – 9.2<br> Over which interval does f have a positive average rate of change?
skad [1K]
Can you be more specific?
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Find the value of x.<br> to<br> 33°<br> 38
qwelly [4]
The value of x is 109°
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Perform the indicated operation on thefollowing polynomials: (3x4 - 2 + 8x³) + (7x³-6 +7x4)
pogonyaev

Given:

(3x^4 - 2 + 8x^3 ) + (7x^3 - 6 + 7x^4 )

Add like terms together ( same variables and exponents )

3x^4 + 7x^4 +8x^3 + 7x^3 -2 - 6

10x^4 + 15x^3 - 8

Answer :

10x^4 + 15x^3 - 8

6 0
1 year ago
Arima has 3/4 of a bag of cat food. Her cat eats 1/10 of a bag per week
hoa [83]

Answer:

Just above 1 week.

Step-by-step explanation:

3/4 of cat food is 7.5/10 of cat food.

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