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3 years ago

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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Let set A = {odd numbers between 0 and 100} and set B = {numbers between 50 and 150 that are evenly divisible by 5}. What is A ∩

fgiga [73]

A = {odd numbers between 0 and 100}
A = {1, 3, 5, 7,...., 95, 97, 99}

B = {numbers between 50 and 150 that are evenly divisible by 5}
B = {50, 55, 60, 65, ..., 140, 145, 150}

The notation A ∩ B means the set of items that are in set A and also in set B. In terms of venn diagrams, it's the overlapping region between circle A and circle B

In this case, the following values are found in both set A and set B
{55, 65, 75, 85, 95}

So that's why
A ∩ B = {55, 65, 75, 85, 95}
which is the final answer

6 0

3 years ago

Help me please and thanks!!

Yuki888 [10]

Answer:

Step-by-step explanation:

11 t= -5 17 r = 27

12 n= -1 18 k = -20

13 m=-5

14 x= - 11

15 y = 70

16 f = - 70

4 0

3 years ago

25% of 60 75% of 30 50% of 45.7 50% of 60 100% of 22.5 75% of 60 10% of 22.5

alexdok [17]

Answer:

25% of 60 is 15

75% of 30 is 22.5

50% of 45.7 22.85

50% of 60 30

100% of 22.5 is 22.5

75% of 60 is 45

10% of 22.5 2.25

Step-by-step explanation:

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2 years ago

Read 2 more answers

Your cousin is 8 years older than your brother. Three years ago, your cousin was twice as old as your brother. How old is your c

ValentinkaMS [17]

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Step-by-step explanation:

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4 years ago

Dianna and Becky were playing on the same soccer team and took turns being goalie. They stoped 9 out of 10 shots made against th

vitfil [10]

Answer:

27 balls

Step-by-step explanation:

If Dianna and Becky stopped 9 out of 10 shots made against them.

It means they allowed in 1 out of 10 shots made against them.

This is best solved using ratios

Proportion of Shots Stopped : Proportion of Shots allowed=9:1

If the other team scores 3 points, it means the number of shots allowed =3

Let x be the number of shots stopped

Number of Shots Stopped : Number of Shots allowed=x:3

Therefore:

9:1=x:3

$\frac{9}{1}=\frac{x}{3}$

Cross multiplying

x=9 X 3 =27

Dianna and Becky stopped 27 balls from going into the net,

6 0

4 years ago