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harkovskaia [24]
3 years ago
14

Triangle ABC has vertices A(−4, 3) , B(2, 3) , and C(−5, 1) . A dilation with a scale factor of 5 and center at the origin is ap

plied to this triangle.
What are the coordinates of C′C′ in the dilated image?

Enter your answer in the boxes.
C′ has a coordinate pair of
Mathematics
2 answers:
siniylev [52]3 years ago
8 0
The answer is (-25,5) 
marta [7]3 years ago
6 0

Answer:

(-25, 5)

Step-by-step explanation:

We multiply both the x- and y-coordinates of the point by the scale factor:

C' = (-5(5), 1(5)) = (-25, 5)

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Answer:

sen(-45^{o})-\frac{\sqrt{2}}{2}

Step-by-step explanation:

Para resolver este problea podemos comenzar con las identidades pares e impares, las cuales nos dicen que:

sen(-u)=-sen(u)

por lo que podemos reescribir nuestro problema como:

sen(-45°)=-sen(45°)

Luego podemos tomar los triángulos comunes (ver imagen adjunta).

y calcular la razón de seno en donde:

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para obtener:

sen(-45^{o})=-\frac{1}{\sqrt{2}}

ahora podemos racionalizar la fracción para obtener:

sen(-45^{o})=-\frac{1}{\sqrt{2}}*\frac{\sqrt{2}}{\sqrt{2}}

sen(-45^{o})=-\frac{\sqrt{2}}{2}

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