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2 years ago

Solve the formula for calculating the perimeter of a parallelogram with sides

Mathematics

1 answer:

Marina CMI [18]2 years ago

6 0

The formula for calculating the perimeter of the parallelogram is p/2-b=c.

The formula for calculating the perimeter of a parallelogram with sides b and c, for c.

<h3>What is the perimeter of the parallelogram?</h3>

The perimeter of a parallelogram is the total distance enclosed by its boundary. Since the parallelogram is a type of quadrilateral, thus it has four sides.

Substracting 2b on both side

p = 2b+2c

-2b -2b

p -2b =2c

divide both sides by 2

p/2 -b =c

Therefore we get the formula for calculating the perimeter of the parallelogram is p/2-b=c.

To learn more parallelogram visit:

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Express the ratio below in its simplest form.1:1.5

Soloha48 [4]

Answer:

that is the simplest form

Step-by-step explanation:

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3 years ago

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8. What is the domain of <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7Bx%5E%7B2%7D%20%2B20x%2B75%7D" id="TexFormula1" title

antiseptic1488 [7]

Answer:

8. Domain: (-∞, -15) ∪ (-15, -5) ∪ (-5, ∞)

9. Domain: [7/13, ∞)

Range: [1, ∞)

Step-by-step explanation:

Question 8

Given rational function:

$f(x)=\dfrac{x}{x^2+20x+75}$

Factor the denominator of the given rational function:

$\implies x^2+20x+75$

$\implies x^2+5x+15x+75$

$\implies x(x+5)+15(x+5)$

$\implies (x+15)(x+5)$

Therefore:

$f(x)=\dfrac{x}{(x+15)(x+5)}$

Asymptote: a line that the curve gets infinitely close to, but never touches.

The function is undefined when the denominator equals zero:

$x+15=0 \implies x=-15$

$x+5=0 \implies x=-5$

Therefore, there are vertical asymptotes at x = -15 and x = -5.

Domain: set of all possible input values (x-values)

Therefore, the domain of the given rational function is:

(-∞, -15) ∪ (-15, -5) ∪ (-5, ∞)

---------------------------------------------------------------------------------

Question 9

Given function:

$f(x)=\sqrt{13x-7}+1$

Domain: set of all possible input values (x-values)

As the square root of a negative number is undefined:

$\implies 13x-7\geq 0$

$\implies 13x\geq 7$

$\implies x\geq \dfrac{7}{13}$

Therefore, the domain of the given function is:

$\left[\dfrac{7}{13},\infty\right)$

Range: set of all possible output values (y-values)

$\textsf{As }\:\sqrt{13x-7}\geq 0$

$\implies \sqrt{13x-7}+1\geq 1$

Therefore, the range of the given function is:

[1, ∞)

8 0

2 years ago

Find the center and the radius of the circle with the equation:

nekit [7.7K]

Answer:

$(x+1)^2 + (y-1)^2 = 16$

And the general formula for a circle is given by this expression:

$(x-h)^2 +(y-k)^2 = r^2$

With the center (h,k) and the radius r. If we compare this general expression with the formula that we obtain in (1) we see that :

$h = -1, k =1 , r =4$

So then the best solution for this cae would be:

b. center: (-1,1)

radius =4

Step-by-step explanation:

For this case we have the following equation given:

$x^2 +2x + y^2 -2y -14=0$

And we can complete the squares for this case like this:

$x^2 +2x +(2/2)^2 +y^2 -2y +(2/2)^2 =14 +1+1$

$(x^2 +2x +1) +(y^2 -2y +1) =16$

Now we can rewrite the last expression like this:

$(x+1)^2 + (y-1)^2 = 16$

And the general formula for a circle is given by this expression:

$(x-h)^2 +(y-k)^2 = r^2$

With the center (h,k) and the radius r. If we compare this general expression with the formula that we obtain in (1) we see that :

$h = -1, k =1 , r =4$

So then the best solution for this cae would be:

b. center: (-1,1)

radius =4

5 0

3 years ago

Your family gives you $5,000 as a college graduation present. You are about to start paying off $50,000 in student loans at a 4

allochka39001 [22]

Monthly Payment: $288.88 ($289)
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3 years ago

Kelly inherits land which had a basis to the decedent of $95,000 and a fair market value of $50,000 on August 4, 2018, the date

Degger [83]

Answer:

The correct option is;

Her recognized loss is ($1,000)

Step-by-step explanation:

The given information are;

The basis of the land to the decedent = $95,000

The land's market value on 4th of August 2018 when the decedent died = $50,000

The alternate valuation date = 6 months + The date of death of the decedent = 4th February, 2019

The value filed by the executor on the tax return using the alternate valuation date = The market value of the estate on 4th of February 2019

The market value of the land on 4th of February 2019 = $45,000

∴ The value filed by the executor on the tax return using the alternate valuation date = $45,000

The value of the land on November 12, 2018 when the executor distributed the land to Kelly = $49,000

The value at which Kelly sells the land on June 10, 2019 = $48,000

Given that, recognized gain is the profit made from selling an asset based on the value of the asset when it was obtained, we have;

Kelly's recognized gain or loss = (The value at which Kelly sells the land) - (The value of the land when the executor distributed the land to Kelly)

Kelly's recognized gain or loss = $48,000 - $49,000 = -$1,000 = ($1,000)

Therefore, Kelly's recognized loss = ($1,000).

6 0

3 years ago