How do I write this as a single rational expression?

[tex] \frac{1}{p-2} - \frac{1}{p+2} [/tex]

Answer:

The cost of the cd is at most 10$

Step-by-step explanation:

For a quadrilateral to be a parallelogram, its opposite sides and angles must be congruent.

In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other. The meaning of congruency is that the two shapes are similar as well as equal in size.

A quadrilateral is a closed shape in geometry that is created by connecting four points, any three of which are not collinear. There are 4 sides, 4 angles, and 4 vertices in a quadrilateral. The word "quadrilateral" is derived from the Latin "quadra" (four) and "latus" (sides).

For a quadrilateral to be a parallelogram, its opposite sides and angles must be congruent.

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Good morning Sir/Ma'am!

Answer:

f(r) = 40r + 26

If she can only afford 10 rolls, then the maximum number of nickels Cindy will have is:

f(10) = 40(10) + 26 = 426 nickels

Step-by-step explanation:

Given function  f(r)=40r+26, where r is the number of rolls of nickels she gets.

as it is already mentioned that she can get up to 10 rolls of nickels.

Therefore domain of function contains r ≤10,such that r is a natural number.

i.e.Domain of f(r)=all integers from 1 to 10, inclusive.

Domain of a f(x) is a set of values of x which make function f(x) well defined.

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Have a great day! ( :

Answer:

5-2

28 - 5²

17 - 7 × 2

[tex]\frac{28}{4}-4[/tex]

5 × 3 - 4 × 3

Step-by-step explanation:

Let x and y be any two numbers,

Such that,

y - x = 3,

⇒ y = 3 + x

Where, x is any positive real number.

Thus, we can find such equation by using this,

Such equations could be,

5 - 2, 28 - 25, 17 - 14, 7 - 4, 15 - 12

or

5-2, 28 - 5², 17 - 7 × 2, [tex]\frac{28}{4}-4[/tex], 5 × 3 - 4 × 3

Five equations where the difference is equal to 3 are, respectively:

(i) [tex]y - x = 3[/tex]

(ii) [tex]y + 9\cdot x = 3[/tex]

(iii) [tex]y -5\cdot x = 3[/tex]

(iv) [tex]y +2\cdot x = 3[/tex]

(v) [tex]y -11\cdot x = 3[/tex]

Reminder - Statement is incomplete. After some research, we determine that complete form is: "Write 5 linear equations where the difference is equal to 3".

From Analytical Geometry, a Linear Equation is an expression of the form:

[tex]y = m\cdot x + b[/tex] (1)

Where:

Based on the question, we need to write 5 expressions so that:

[tex]y - m\cdot x = b[/tex]

If we know that [tex]b = 3[/tex], then we get the following expressions:

(i) [tex]y - x = 3[/tex]

(ii) [tex]y + 9\cdot x = 3[/tex]

(iii) [tex]y -5\cdot x = 3[/tex]

(iv) [tex]y +2\cdot x = 3[/tex]

(v) [tex]y -11\cdot x = 3[/tex]

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B= 2a/ h - a

Hope it helps!

Answer

pic?

Step-by-step explanation:

Answer:

answer is B

it is less than Zx for set B

Step-by-step explanation:

Answer:

the second one

Step-by-step explanation:

Answer:

(-7,6)

Step-by-step explanation:

Just took test on edgen

The solutions to the equation [tex]p^2+4p=1[/tex] using completing the square method are  [tex]-2- \sqrt{5}[/tex] and [tex]-2+ \sqrt{5}[/tex]

The given equation is:

[tex]p^2+4p=1[/tex]

Add [tex](\frac{4}{2})^2[/tex] to both sides of the equation

[tex]p^2+4p+(\frac{4}{2})^2= 1 + (\frac{4}{2})^2\\\\p^2+4p+2^2=1+2^2\\\\(p+2)^2=1+4\\\\(p+2)^2=5\\\\[/tex]

Find the square root of both sides

[tex]p+2 = \pm\sqrt{5}\\\\p=-2\pm sqrt{5} \\\\p = -2 - sqrt{5}\\\\p=-2+ \sqrt{5}[/tex]

The roots of the equation are [tex]-2- \sqrt{5}[/tex] and [tex]-2+ \sqrt{5}[/tex]

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The equation p² + 4p = 1 can be solved by first rearranging to p² + 4p - 1 = 0, completing the square, simplifying and taking square roots. The solutions are p = -2 + sqrt(5) and p = -2 - sqrt(5).

To solve the quadratic equation p² + 4p = 1 by completing the square, we first arrange the equation with the quadratic and linear terms on one side and the constant on the other:

p²+ 4p - 1 = 0.

Next, we complete the square by adding the square of half the coefficient of p to both sides of the equation. The coefficient of p is 4, so half of it is 2, and squaring it gives 4. So, we have:

p² + 4p + 4 = 1 + 4

This simplifies to:

(p + 2)² = 5

Then, we take square roots of both sides:

p + 2 = ± sqrt(5)

Which further simplifies to:

p = -2 ± sqrt(5)

So, the solutions for this quadratic equation are p = -2 + sqrt(5) and p = -2 - sqrt(5).

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The length of each side of the wrestling mat is, 38 feet.

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

For high school wrestling competitions, the wrestling mat must be a square with an area of 1444 square feet.

Let the length of each side of the wrestling mat is, x

Hence, We get;

⇒ x² = 1444

⇒ x = √1444

⇒ x = 38 feet

Thus, The length of each side of the wrestling mat is, 38 feet.

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