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3 years ago

Determine the x & y intercepts for -9y+ 37 = 8x.

Mathematics

1 answer:

lukranit [14]3 years ago

3 0

X intercepts: (37/8,0)
y intercepts: (0,37/9)

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3 years ago

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3 years ago

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Calcula el lado y el área de un poligono regular 12 lados sabiendo que su radio es de 7,727dmy su apotema de 7,464

Vika [28.1K]

Answer:

$L=3.999 \: dm$

$A=183.4581\:dm^{2}$

Step-by-step explanation:

La relación del apotema y el lado de un dodecágono regular está dada por la siguiente ecuación:

$a_{p}=L\frac{2+\sqrt{3}}{2}$

Sabiendo que la apotema es 7.464 el lado sera:

$L=\frac{2*a_{p}}{2+\sqrt{3}}$

$L=\frac{2*7.464}{2+\sqrt{3}}$

$L=3.999 \: dm$

Por otro lado el area de un dodecágono regular esta dada por:

$A=6a_{p}L$

$A=6*7.646*3.999$

$A=183.4581\:dm^{2}$

Espero te haya sido de ayuda!

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3 years ago

Q6: Which is the graph of the polar equation r=1/1-sin theta.

AveGali [126]

Answer:

The correct answer is C.

Step-by-step explanation:

The given equation is;

$r=\frac{1}{1-\sin(\theta)}$

This implies that;

$r(1-\sin(\theta)=1$

$r-r\sin(\theta)=1$

Let us write in Cartesian coordinates by substituting;

$r=\sqrt{x^2+y^2} ,y=r\sin(\theta)$

$\sqrt{x^2+y^2}-y=1$

$\sqrt{x^2+y^2}=y+1$

Square both sides;

$(\sqrt{x^2+y^2})^2=(y+1)^2$

This implies that;

$x^2+y^2=y^2+2y+1$

$x^2=2y+1$

$y=\frac{1}{2}x^2-\frac{1}{2}$

This is an equation of a parabola that opens upwards with a y-intercept of $-\frac{1}{2}$ .

The correct choice is C

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3 years ago