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steposvetlana [31]
4 years ago
13

The difference of this equation.

Mathematics
1 answer:
yaroslaw [1]4 years ago
4 0

Answer:

\frac{23}{(y-8)(y+8)}=\frac{23}{y^{2}-64}

Step-by-step explanation:

\frac{3y - 1}{(y-8)(y+8)} -\frac{3}{y+8} = \frac{3y - 1}{(y-8)(y+8)} -\frac{3(y-8)}{(y-8)(y+8)} =\\\\=\frac{3y - 1-3y+24}{(y-8)(y+8)} = \frac{23}{(y-8)(y+8)}=\frac{23}{y^{2}-64}

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What is the value of h when the function is converted to vertex form?
elena-s [515]

Answer: h=7

Step-by-step explanation:

By definition the function in vertex form is:

 f(x)=a(x-h)^{2}+k

Where (h,k) is the vertex of the parabola.

You must group the terms that contain the same variable in the function:

f(x)=(x^{2}-14x)+29

Complete the square as following:

f(x)=(x^{2}-14x+49)+29-49

Now you must rewrite it as following:

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h=7

4 0
3 years ago
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2 Sequoya has- of a liter of apple juice which fills of her glass. How many glasses will 1 liter of apple juice fill? 3 4/6 4/3
Softa [21]

We have

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we can obtain equivalent fractions like

\frac{2}{3}=\frac{4}{6}

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6 0
2 years ago
A camper wants to know the width of a river. From point A, he walks downstream 60 feet to point B and sights a canoe across the
Anarel [89]
<h2>Hello!</h2>

The answer is:

The correct option is:

D. 40 feet.

<h2>Why?</h2>

To solve the problem and calculate the width of the river, we need to assume that the distance from A to B and the angle formed between that distance and the distance from A to the other point (C) is equal to 90°, meaning that we are working with a right triangle, also, we need to use the given angle which is equal to 34°. So, to solve the problem we can use the following trigonometric relation:

Tan\alpha =\frac{Opposite}{Adjacent}

Where,

alpha is the given angle, 34°

Adjacent is the distance from A to B, which is equal to 60 feet.

Opposite is the distance from A to C which is also equal to the width of the river.

So, substituting and calculating we have:

Tan(34\°) =\frac{Width}{60ft}

Width=60ft*Tan(34\°)=60ft*0.67=40.2ft=40ft

Hence, we have that the correct option is:

D. 40 feet.

Have a nice day!

6 0
3 years ago
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You are making fruit baskets using 54 apples, 36 oranges, and 73 bananas.
matrenka [14]

Step-by-step explanation:

54×36=1,944 1,944÷73=23.63

6 0
4 years ago
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Marcy can make 3 potholders and 8 paper flowers in a day. The following expression, (3 * 2.50 + 8 * 1.25)d represents how much M
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Answer:

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