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ololo11 [35]
3 years ago
15

What is a solution to the following system of equations? x2 + y2 = 13 2x - y = 4

Mathematics
1 answer:
patriot [66]3 years ago
5 0
A solution to the equation is (-3,-2)
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The length of a rectangle is 3 inches more than its width. If the perimeter is 42 inches, find the dimensions of the rectangle.
mojhsa [17]

The problem uses the perimeter formula.  P = 2w + 2l   where w is the width, and l is the length.

We know the length (l) is 3 inches longer than it's width (or l = w+3).  Substitute w +3 into Perimeter equation

P = 2w + 2(w+3).  That simplifies to P = 4w + 6.

Since P + 42,   we have 42 = 4w +6.  With some simple algebra we find that w = 9 and l = 12.

Hope this helps!

5 0
3 years ago
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Please I need help for real
alina1380 [7]
Y=-3x-5 is the answer !!
5 0
3 years ago
A dozen muffins costs $5. Large bottles
notka56 [123]

Answer: Option D) 3 x 5 + 4 x 2

Step-by-step explanation:

- Since a dozen muffins costs $5.

Buying 3 dozen muffins means (3 x $5)

- Since Large bottles of juice cost $2.

The cost of 4 large bottles of juice is (4 x $2)

Hence, the total cost is (3 x $5) + (4 x $2)

= $15 + $8

= $23

Now, you'll notice that "3 x 5 + 4 x 2" gives 23.

Thus, it is the only expression that could be used to find the total cost.

5 0
3 years ago
Help please i dont get it
ale4655 [162]

Answer:

  (c)  x = 2 and x = -8

Step-by-step explanation:

The rules of logarithms let you rewrite this as a quadratic equation. That equation will have two (2) potential solutions. We know from the domain of the log function that any negative value of x will be an extraneous solution.

__

The rules of logarithms that apply are ...

  \log(a)+\log(b)=\log(ab)\qquad\text{all logarithms to the same base}\\\\\log_b(a)=c\ \Longleftrightarrow\ b^c=a\\\\

__

<h3>take antilogs</h3>

We can rewrite the equation so that only one logarithm is involved. Then we can take antilogs.

  \log_4(x)+\log_4(x+6)=2\\\\\log_4(x(x+6))=2\qquad\text{using the first rule}\\\\4^2=x(x+6)\qquad\text{using the second rule}

__

<h3>solve the quadratic</h3>

Adding (6/2)² = 9 to both sides will "complete the square."

  16 +9 = x² +6x +9 . . . . . . . add 9

  25 = (x +3)²

  ±√25 = x +3 = ±5 . . . . . take the square root(s)

  x = -3 ±5 = {-8, +2}

The two potential solutions are x = 2 and x = -8.

8 0
2 years ago
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Simplify (x-3/y^3)^-5
Katena32 [7]

Answer:

Correct simplification: y^15/(xy^3−3)^5

Step-by-step explanation:

4 0
2 years ago
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