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satela [25.4K]
3 years ago
13

Find the image of NPQ under the translation of (x,y) -> (x + 8, y + 1).

Mathematics
1 answer:
lina2011 [118]3 years ago
8 0

Answer:

The image triangle NPQ is triangle KLM

Step-by-step explanation:

The vertices of triangle NPQ are at:

N(-7,-6), P(-4,-3) an Q(-4,-6).

The rule for the translation is:

(x,y)\to(x+8,y+1)

This implies that:

N(-7,-6)\to (-7+8,-6+1)=N'(1,-5)

P(-4,-3)\to (-4+8,-3+1)=P'(4,-2)

Q(-4,-6)\to (-4+8,-6+1)=Q'(4,-5)

Therefore triangle N'P'Q' has vertices at N'(1,-5),P'(4,-2), and Q'(4,-5)

This coincides with K(1,-5),L(4,-2), and M(4,-5)

Hence the image triangle NPQ is triangle KLM

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una pizzeria hace pizzas de varios tamaños y las vende en cajas hexagonales de 39 cm de lado y 4.7 cm de alto ¿que cantidad de c
Makovka662 [10]
Area de la base es un hexagono: Nota: asumiendo que 39 cm son el lado de un hexagono. Menuda pizza.

A = 3*sqrt(3)/2*a^2 = 3*sqrt(3)/2*39^2 = 3951.67391746839972 cm^2

Hay dos base y tapa, doble:

7903.34783493679944 cm^2

Luego los lados verticales:

6 * 39 * 4.7 = 1099.8 cm^2

TOtal = 9003.14783 = 9003.147 cm^2 = 9003.15 cm^2



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3 years ago
THE amusement park won't allow kids to ride roller-coasters until they are a minimum of 48 inches tall. Michael is now 42 inches
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Answer: It will one year (or 12 months) before Michael is able to ride the roller coaster.

Step-by-step explanation: Because he grows a half inch every month, this means that It takes him two months to grow one full inch. Because he has to grow six inches, you just multiply 2 by 6 to get 12 months or one year.

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A string is 7 yards long. Jeff needs 2 feet and Lori needs 15 feet of string. If they both cut their string, how much is left?
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In a game of rolling a die. If the number showing is even, you win $3, if the number showing is 1 you win $3 and if the number s
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Answer:

(a)

\left|\begin{array}{c|c|c}---&---&---\\x&\$0&\$3\\---&---&---\\P(x)&\dfrac13&\dfrac23\\---&---&---\\\end{array}\right|

(b)$2

Step-by-step explanation:

In the given game of rolling a die. these are the possible winnings.

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  • If the number showing is either 3 or 5 you win $0.

There are 6 sides in the die.

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Let x be the amount won

Therefore:

Probability distribution of x.

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(ii) Expected amount of dollar won

Expected Amount

=\sum x_iP(x_i)\\=(0*\dfrac13)+(3*\dfrac23)\\=\$2\\

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Answer:

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