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Zanzabum
3 years ago
10

Please help i'm struggling with this!

Mathematics
1 answer:
harkovskaia [24]3 years ago
6 0

Answer:

second option is correct (for question no 20)

Step-by-step explanation:

coordinate points are:

(3,1) = (x1,y1)

(5,9) = (x2,y2)

slope (m) = y2-y1/x2-x1

=9-1/5-3

=8/2

=4

Now using slope intercept form

y=mx + b

y=4x + b

since the line passes through the point (3,1) it satisfies the equation

y=4x + b

1=4*3 + b

1-12 = b

-11 = b

substituting the value of b in equation

y=4x + b

y=4x +(-11)

y=4x - 11

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Juno calculated the area of a square to be 4/9 square yard. Which shows the side length of the square?
Stella [2.4K]
\bf \textit{area of a square}\\\\
A=s^2~~
\begin{cases}
s=side's~length\\
--------\\
A=\frac{4}{9}
\end{cases}\implies \cfrac{4}{9}=s^2
\\\\\\
\sqrt{\cfrac{4}{9}}=s\implies \cfrac{\sqrt{4}}{\sqrt{9}}=s\implies \cfrac{2}{3}=s
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3 years ago
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]

<u>the question in English is</u>

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

<u>Find the length side of the square x</u>

we know that

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

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

Ax=16\ cm^{2}

Ax=x^{2}

so

x^{2}=16

x=4\ cm

Step 2

<u>Find the perimeter of square x</u>

Px=4x

substitute the value of x in the formula

Px=4*4=16\ cm

Step 3

<u>Find the perimeter of square y</u>

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

<u>Find the area of square z </u>

we know that

the area of the square z is equal to

Az=z^{2}

<u>Find the length side of square z</u>

Pz=4z

Pz=36\ cm

so

4z=36

z=9\ cm

substitute the value of z in the area's formula

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

therefore

<u>the answer is</u>

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


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