All categories

2 years ago

1. Triangle STU with vertices S(-4, 2) T(5, -1),

Mathematics

1 answer:

Alexus [3.1K]2 years ago

4 0

Answer:

S’ (-5,-3)

T’ (4,-6)

U’ (-3,-7)

Step-by-step explanation:

Basically, we want to apply the given transformation rule of the axes to get the coordinates of the images

The rule is that we subtract 1 from the x-coordinates and also subtract 5 from the y-coordinates

Thus, we proceed as follows;

S’ = (-4-1, 2-5) = (-5,-3)

T’ = (5-1, -1-5) = (4,-6)

U’ = (-2-1,-2-5) = (-3,-7)

You might be interested in

In this problem, we explore the effect on the standard deviation of adding the same constant to each data value in a data set. C

aliya0001 [1]

Answer:

3.6661

A, Adding a constant does nothing to the standard deviation

Step-by-step explanation:

I'm gonna assume s=standard deviation

The standard deviation is just the square root of the second moment minus the first moment squared

Because we were not told otherwise I think it's pretty safe to assume that all events are equally likely

Let's start by calculating the first moment (AKA The mean)

1/5(8+16+14+8+16)= 12.4

Let's then find the second moment

1/5(8²+16²+14²+8²+16²)= 167.2

√(167.2-12.4²)=3.6661

While I could just tell you that adding something to the standard deviation (and the variane as well) doesn't do anything let's calculate it for fun

same process

.2(16+24+22+16+24)= 20.4

.2(16²+24²+22²+16²+24²)=429.6

√(429.6-20.4²)= 3.6661

6 0

3 years ago

What is one disadvantage of a trade school education over a four-year college?

nekit [7.7K]

Answer:

answer the cost will be higher

6 0

1 year ago

What is the rate of change for the function y= 5x+ 25

charle [14.2K]

Answer:

Step-by-step explanation:

rate of change = slope = 5

4 0

2 years ago

Riley rides his bicycle 1.8 km to Jillian’s house. On the way back, he takes a route that is 740 m shorter than the first route.

postnew [5]

1.8 km >> 1,800 m
1,800 - 740 = 1,060 m
1,060 m >> 1.06 km
The shorter route is 1.06 km.

7 0

2 years ago

Read 2 more answers

Javier has four cylindrical models. The heights, radii, and diagonals of the vertical cross-sections of the models are shown in

Ronch [10]

The model in which the lateral surface meets the base at right angle is : Model 1.

<h3>What is a lateral surface?</h3>

The lateral surface of an object is all surfaces of that object excluding its base and top.

Analysis:

To know the exact model, we check for the models in which their dimensions form a Pythagorean triplet otherwise a right-angled triangle.

For Pythagorean triplet, the square of the diagonal must be equal to the sum of squares of the other two sides.

Model 1

Diagonal = 50cm, radius = 14cm, lateral height = 48cm

$(50)^{2}$ = $(14)^{2}$ + $(48)^{2}$

2500 = 196 + 2304

2500 = 2500. Forms Pythagorean triplet

Model 2

Diagonal= 37cm, radius = 6cm lateral height = 35cm

$(37)^{2}$ = $(35)^{2}$ + $(6)^{2}$

1369 = 1225 +36

1369 $\neq$ 1261

Model 3

Diagonal = 60cm, radius = 20cm lateral height = 40cm

$(60)^{2}$ = $(20)^{2}$ + $(40)^{2}$

3600 = 400 + 1600

3600 $\neq$ 2000

Model 4

Diagonal = 30cm, radius = 24cm, lateral height = 9cm

$(30)^{2}$ = $(24)^{2}$ + $(9)^{2}$

900 = 576 + 81

900 $\neq$ 657

Therefore the lateral surface model 1 meets the base at right angle

In conclusion, the lateral surface of model 1 meets the base at right angles as the dimensions form a right-angled triangle.

Learn more about Pythagorean triplet: brainly.com/question/20894813

#SPJ1

5 0

1 year ago

Read 2 more answers