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FrozenT [24]
2 years ago
13

What is the perimeter of the quadrilateral shown below?

Mathematics
1 answer:
GarryVolchara [31]2 years ago
8 0

The perimeter of a shape is the sum of the lengths of its sides.

So, to find the perimeter of this quadrilateral, all we have to do is add the side lengths and simplify.

(x² - 6) + (2x + 5) + (x² - 3x) + (4x² + 2x)

x² + x² + 4x² + (-3x) + 2x + 2x + (-6) + 5

6x² + (-3x) + 2x + 2x + (-6) + 5

6x² + x + (-6) + 5

6x² + x + (-1)

6x² + x - 1

So, the perimeter of the quadrilateral is the quantity (6x² + x - 1).

Hope this helps!

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3 years ago
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. Which function's graph has a vertex at (-1, -3) and contains the point (2, 15)?<br> HELPPP PLEASEE
AlexFokin [52]

Answer:

2(x+1)²-3

Step-by-step explanation:

Using the vertex formula we can write the follwoing equation

y=a(x+1)²-3

We need to solve for a

we know that when x= 2 y = 15

So we can write

15=a(2+1)²-3

15=9a-3

18=9a

a=2

Which means our final equation is

2(x+1)²-3

in standard form (just in case)

2x²+4x-1

5 0
3 years ago
The quotient of 24 and x equals 14 minus 2 times x (into an equation don’t solve)
Katen [24]

Answer:

24 / x = 14 - 2x

Step-by-step explanation:

Quotient means division (÷ or /)

Quotient of 24 and x = 24 ÷ x

24 ÷ x is equivalent to 24 / x

14 minus 2 times x = 14 - 2x

So, the equation is

24 / x = 14 - 2x

7 0
2 years ago
I am an improper fraction whose numerator and denominator are made of odd digits only. In my simplest form, my representation as
ASHA 777 [7]

Answer:

The fraction is =  \frac{21}{9}

Step-by-step explanation:

In simplest form the fraction is represented in mixed number as 2\frac{1}{3}.

The fraction form of the mixed number can be given as :

2\frac{1}{3}=\frac{7}{3}

Let the fraction be = \frac{7x}{3x} [As multiplying same numbers to numerator and denominator does not affect the proportion.

Sum of numerator and denominator is = 30

This, can be represented as:

7x+3x=30

Solving for x.

10x=30

Dividing both sides by 10.

\frac{10x}{10}=\frac{30}{10}

x=3

So, the fraction will be = \frac{7\times 3}{3\times 3}

⇒ \frac{21}{9}

3 0
3 years ago
Use a calculator to solve the following equation for θ on the interval [−90∘,90∘]. Sin(θ)=34
exis [7]

The value of θ from the given equation is 48.59degrees

<h3>Trigonometry identity</h3>

Given the trigonometry function

Sin(θ)=3/4

We are to find the value of theta that will make the expression true

Take the arcsin of both sides

arcsin Sin(θ)= arcsin(3/4)

θ = arcsin(3/4)

θ = 48.59

Hence the value of θ from the given equation is θ = 48.59 defense

Learn more on trig identity here:brainly.com/question/7331447

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