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3 years ago

Find the solutions of the given equation. 25x^2+64=289

Mathematics

2 answers:

Andrew [12]3 years ago

4 0

Answer: if ur doing Plato it’s not D

It’s c

Step-by-step explanation:

AleksAgata [21]3 years ago

3 0

Answer:

Step-by-step explanation:

Start by subtracting 64 from both sides:

$25x^2=225$

Factor this by taking roots. Divide both sides by 25 first:

$x^2=9$

We "undo" a square by taking the square roots of both sides. Taking the square root leaves the possibilities of both the positive and negative roots of 9. Therefore, the solutions to this are

$x=\sqrt{3},-\sqrt{3}$

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Answer:

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EL PERIMETRO DELCUADRADO X ES DOS TERCIOS DEL PERIMETRO DEL CUADRADO Y. EL UCADRADO Y ES DOS TERCIOS DEL PERIMETRO DEL CUADRADO

Keith_Richards [23]

the question in English is

THE SQUARE PERIMETER X IS TWO THIRDS OF THE SQUARE PERIMETER Y. THE PERIMETER OF THE SQUARE Y IS TWO THIRDS OF THE PERIMETER OF THE SQUARE Z. THE AREA OF THE SQUARE X IS 16 CM2 WHAT IS THE AREA OF THE SQUARE Z?

Let

Px--------> the perimeter of square x

Py--------> the perimeter of square y

Pz--------> the perimeter of square z

Ax--------> the area of square x

Az--------> the area of square z

Step 1

Find the length side of the square x

we know that

$Px=\frac{2}{3} Py$ -------> equation A

$Py=\frac{2}{3} Pz$ -------> equation B

$Ax=16\ cm^{2}$

$Ax=x^{2}$

$x^{2}=16$

$x=4\ cm$

Step 2

Find the perimeter of square x

$Px=4x$

substitute the value of x in the formula

$Px=4*4=16\ cm$

Step 3

Find the perimeter of square y

use the equation A

$Px=\frac{2}{3} Py$

solve for Py

$Py=\frac{3}{2} Px$

substitute the value of Px

$Py=\frac{3}{2}16=24\ cm$

Step 4

Find the perimeter of square z

use the equation B

$Py=\frac{2}{3} Pz$

solve for Pz

$Pz=\frac{3}{2} Py$

substitute the value of Py

$Pz=\frac{3}{2} 24=36\ cm$

Step 5

Find the area of square z

we know that

the area of the square z is equal to

$Az=z^{2}$

Find the length side of square z

$Pz=4z$

$Pz=36\ cm$

$4z=36$

$z=9\ cm$

substitute the value of z in the area's formula

$Az=9^{2}=81\ cm^{2}$

therefore

the answer is

the area of the square z is $81\ cm^{2}$

8 0

3 years ago

Given PQ = 24

Verdich [7]

The shape PQRS is a parallelogram

The measure of angle QRS is 70 degrees
The measure of angle PQS is 53 degrees
The measure of angle RPS is 35 degrees
The measure of angle PSQ is 53 degrees

The given parameters are:

$\mathbf{\angle PQR = 106}$

$\mathbf{\angle QSR = 49}$

$\mathbf{\angle PRS = 35}$

(a) Find QRS

This is calculated as:

$\mathbf{\angle QRS = 2 \times \angle PRS }$

So, we have:

$\mathbf{\angle QRS = 2 \times 35}$

$\mathbf{\angle QRS = 70}$

Hence, the measure of angle QRS is 70 degrees

(b) Find PQS

This is calculated as:

$\mathbf{\angle PQS = \frac 12 \times \angle PQR }$

So, we have:

$\mathbf{\angle PQS = \frac 12 \times 106}$

$\mathbf{\angle PQS = 53}$

Hence, the measure of angle PQS is 53 degrees

(c) Find RPS

This is calculated as:

$\mathbf{\angle RPS = \angle PRQ }$

Where:

$\mathbf{\angle PRQ = \angle PRS = 35}$

So, we have:

$\mathbf{\angle RPS = 35}$

Hence, the measure of angle RPS is 35 degrees

(d) Find PSQ

This is calculated as:

$\mathbf{\angle PSQ =\frac 12 \times \angle PQR }$

Where:

$\mathbf{\angle PSQ =\frac 12 \times \angle 106}$

So, we have:

$\mathbf{\angle PSQ =53}$

Hence, the measure of angle PSQ is 53 degrees

Read more about angles in a parallelogram at:

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3 years ago

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Dmitriy789 [7]

Answer:

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Step-by-step explanation:

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Number 6

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4 years ago

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