Ask question

Ask question

All categories

2 years ago

11

On a coordinate plane, parallelogram P Q R S is shown. Point P is at (negative 2, 5), point Q is at (2, 1), point R is at (1, ne

gative 2), and point S is at (negative 3, 2). In the diagram, SR = 4 StartRoot 2 EndRoot and QR = StartRoot 10 EndRoot. What is the perimeter of parallelogram PQRS? StartRoot 10 EndRoot units 8 StartRoot 2 EndRoot + 2 StartRoot 10 EndRoot units 16 StartRoot 2 EndRoot units 8 StartRoot 2 EndRoot + 8 units

2 answers:

skad [1K]2 years ago

4 0

Answer:

B

Step-by-step explanation:

Anika [276]2 years ago

3 0

Answer:

The perimeter of parallelogram PQRS = $2\sqrt{10}+8\sqrt{2}$ ⇒

2nd answer

Step-by-step explanation:

* <em>Lets revise some properties of the parallelogram</em>

- Each two opposite sides are parallel

- Each two opposite sides are equal

- Its <em>perimeter</em> is the <em>twice the sum of two adjacent sides</em>

* <em>Lets solve the problem</em>

∵ PQRS is a parallelogram

∵ The length of side SR is $4\sqrt{2}$

∵ The length of side QR is $\sqrt{10}$

∵ <em>SR and RQ are two adjacent sides</em>

∵ The perimeter of parallelogram PQRS = 2(RQ + SR)

∴ The perimeter of parallelogram PQRS = $2(\sqrt{10}+4\sqrt{2})$

∵ $2*\sqrt{10}$ = $2\sqrt{10}$

∵ $2*4\sqrt{2}$ = $8\sqrt{2}$

∴ The perimeter of parallelogram PQRS = $2\sqrt{10}+8\sqrt{2}$

You might be interested in

The approximate line of best fit is given by the equation y=40x-1800. Based on this trend which of the following best predicts t

serious [3.7K]

Solve for x

(94+1800)÷40 = 47.35

So x = 47.35

8 0

2 years ago

Which equation describes this line?

Anettt [7]

The last equation would best describe the line.

y-4=3(x+2)

y-4=3x + 6

y=3x + 10

4 0

2 years ago

Read 2 more answers

Write an equation for the cubic polynomial function whose graph has zeroes at 2, 3, and 5.

TiliK225 [7]

we know that

For a polynomial, if x=a is a zero of the function, then (x−a) is a factor of the function. The term multiplicity, refers to the number of times that its associated factor appears in the polynomial.

So

In this problem

If the cubic polynomial function has zeroes at 2, 3, and 5

then

the factors are

$(x-2)\\ (x-3)\\ (x-5)$

Part a) Can any of the roots have multiplicity?

The answer is No

If a cubic polynomial function has three different zeroes

then

the multiplicity of each factor is one

For instance, the cubic polynomial function has the zeroes

$x=2\\ x=3\\ x=5$

each occurring once.

Part b) How can you find a function that has these roots?

To find the cubic polynomial function multiply the factors and equate to zero

so

$(x-2)*(x-3)*(x-5)=0\\ (x^{2} -3x-2x+6)*(x-5)=0\\ (x^{2} -5x+6)*(x-5)=0\\ x^{3} -5x^{2} -5x^{2} +25x+6x-30=0\\ x^{3}-10x^{2} +31x-30=0$

therefore

the answer Part b) is

the cubic polynomial function is equal to

$x^{3}-10x^{2} +31x-30=0$

7 0

2 years ago

Read 2 more answers

John wants to buy a notebook for $5 and pens that cost $3 each. All prices include sales tax. He has $35. Write and solve an ine

yaroslaw [1]

Answer:

only 10

Step-by-step explanation:

3 0

2 years ago

the size of a rectangular computer screen is determined by the length of its diagonal. tom buys a 52cm screen that is 33 cm high

Snowcat [4.5K]

Answer:

40.20cm approx

Step-by-step explanation:

Step one

given data

We are told that the dimension of a computer screen

diagonal= 52 cm

height= 33cm

Length = ?

Required

The length of the base of the screen

Step two

Let us use Pythagoras theorem to find the length of the base

Hyp^2= Opp^2+ Adj^2

52^2= 33^2+ L^2

2704= 1089+L^2

L^2= 2704-1089

L^2= 1615

L=√1615

L= 40.20cm approx

<u>The length is 40.20cm approx.</u>

8 0

2 years ago