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1 year ago

Which rule was used to translate the image?

Mathematics

2 answers:

Korvikt [17]1 year ago

7 0

Answer: $(x,y)\rightarrow(x-8,y+11)$

Step-by-step explanation:

Given: Right triangle LMN has vertices L(7,-3), M(7,-8) and N(10,-8).

The triangle is translated on the coordinate plane so the coordinates of L' are (-1,8)

The difference in the x coordinates of L and L' (corresponding vertices) = $-1-7=-8$ ...............→ translated 8 units left.

The difference in the y coordinates of L and L' = $8-(-3)=11$ ...............→ translated 11 units upwards.

Thus, triangle LMN translated 8 units left and 11 units above the coordinate plane .

So the rule used to translate the image will be :_

$(x,y)\rightarrow(x-8,y+11)$

damaskus [11]1 year ago

3 0

Answer:

Step-by-step explanation:

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There are 9 students in a service club. The club is making gift baskets for children in a hospital. Each club member donated 4 c

VladimirAG [237]

Answer:

Step-by-step explanation:

Let x represent the number of toys that each club member donated.

There are 9 students in a service club.

If each club member donated 4 children's books for the baskets, it means that the total number of books donated by the club members would be

9 × 4 = 36

If each club member also donated an equal number of toys. It means that the total number of toys donated by the club members would be

9 × x = 9x

A total of 63 items were collected for the baskets. Therefore, the linear equation that you can use to find how many toys each club member donated would be

9x + 36 = 63

4 0

1 year ago

A circular city plaza is surrounded by a row of bricks. The area of the plaza is 1,520 square meters. How long is the row of bri

Korolek [52]

Answer:

138 meters

Step-by-step explanation:

step 1

Find the radius of the circular city plaza

The area is equal to

$A=\pi r^{2}$

we have

$A=1,520\ m^2$

$\pi =3.14$

substitute

$1,520=(3.14)r^{2}$

solve for r

$r^2=1,520/3.14\\r=22\ m$

step 2

we know that

To find out how long is the row of bricks, determine the circumference of the circular city plaza

The circumference is equal to

$C=2\pi r$

we have

$r=22\ m$

$\pi =3.14$

substitute

$C=2(3.14)(22)=138\ m$

8 0

2 years ago

For a fundraiser, each donor package contains 333 food vouchers and 555 raffle tickets. Complete the double number line diagram

Vitek1552 [10]

Answer:

It's A

Step-by-step explanation:

3 0

1 year ago

It takes Destiny y 4 hours to file all the daily paperwork. It takes Susan 5 hours to file the same paperwork. If they work toge

Marina86 [1]

Answer: it will take them 2.22 hours working together.

Step-by-step explanation:

It takes Destiny y 4 hours to file all the daily paperwork. This means that unit rate of Destiny would be

1/4 per hour.

It takes Susan 5 hours to file the same paperwork. This means that unit rate of Susan would be

1/5 per hour.

If they work together, they would work at their own individual rates. This means that their individual rates are additive.

Let t represent the time it will take them if they worked together. Since their combined rate is additive Therefore,

1/4 + 1/5 = 1/t

9/20 = 1/t

t = 20/9 = 2.22 hours

8 0

1 year ago

The mean and the standard deviation of the sampled population are, respectively, 77.4 and 4.0. Find the mean and standard devia

Naily [24]

Answer:

See explanation below.

Step-by-step explanation:

We are looking for the mean and the standard deviation of the sampling distribution of the sample of mean x, given that the mean and standard deviation of sampled population are as follows:

Mean=μ= 77.4

Standard deviation = σ = 4.0

Sample size n = 255

so, the mean of sample mean x will be same as mean of the sampled population:

μₓ = μ = 77.4

and the standard deviation of sample mean x will be standard deviation of the sampled population divided by square root of sample size:

σₓ = σ / √ n

= 4.0 / √225

= 4.0 / 15

= 0.3

6 0

1 year ago