All categories

2 years ago

Help 100 points worth

Mathematics

1 answer:

Natali5045456 [20]2 years ago

4 0

Answer:

(0, 28)

Step-by-step explanation:

dilation means like "projection".

like when you have a projector at home or at school and watch a movie or so on a projection screen.

the father away from the projector, the bigger the picture. and, with a zoom lens this scaling factor (how much bigger) can be changed.

now when it says here that the points of the rectangle are dilated (or projected) with scale factor 7 from the origin (0, 0), it just means the projector light bulb is at (0, 0).

the images to be projected are at the QUAD coordinates.

and the protection screen is 7 times farther away from the projector light bulb than the original images.

so, U' = (7×0, 7×4) = (0, 28)

You might be interested in

Which three lengths could be the lengths

Fed [463]

Given:

The three lengths in the options.

To find:

Which three lengths could be the lengths of the sides of a triangle?

Solution:

If the sum of two smaller sides is greater than the largest side, then the three sides can form a triangle otherwise the triangle is not possible.

In option A, the three sides are 4 cm, 8 cm, 13 cm. Here, the largest side is 13 cm.

Sum of two smaller sides is:

$4+8=12$

$4+8$

So, the triangle is not possible.

In option B, the three sides are 13 cm, 11 cm, 23 cm. Here, the largest side is 23 cm.

Sum of two smaller sides is:

$13+11=24$

$13+11>23$

So, the triangle is possible.

In option C, the three sides are 5 cm, 18 cm, 12 cm. Here, the largest side is 18 cm.

Sum of two smaller sides is:

$5+12=17$

$5+12$

So, the triangle is not possible.

In option D, the three sides are 25 cm, 8 cm, 16 cm. Here, the largest side is 25 cm.

Sum of two smaller sides is:

$8+16=24$

$8+16$

So, the triangle is not possible.

Therefore, the correct option is B. The three lengths 13 cm, 11 cm, 23 cm could be the lengths of the sides of a triangle.

6 0

3 years ago

We wish to construct a 90% confidence interval on the mean of a population known to be normally distributed based on a sample of

sergiy2304 [10]

Answer:

Margin of error = 0.773

Step-by-step explanation:

We are given the following information in the question.

Sample size, n = 20

Sample mean = 8

Sample standard deviation = 2

90% Confidence interval

$\bar{x} \pm t_{critical}\displaystyle\frac{s}{\sqrt{n}}$

Putting the values, we get,

$t_{critical}\text{ at degree of freedom 19 and}~\alpha_{0.10} = \pm 1.729$

Margin of error:

$t_{critical}\displaystyle\frac{s}{\sqrt{n}}$

Putting the values, we get,

$1.729(\frac{2}{\sqrt{20}} ) = 0.773$

7 0

4 years ago

A team of 9 tennis players can order bags with their uniforms

jeka94

Answer:

Step-by-step explanation:

5 0

3 years ago

How many repeating digits are in 1 2 3 4

Alina [70]

Answer:

infinite

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Ignore the erase marks but i have no clue how to do this. please help asap

madam [21]

Since they're vertical angles, they're equal in degree measure

since they're equal, we can make the two expressions equal to each other

5a - 1 = 2a + 20
add 1 to both sides

5a = 2a + 21
subtract 2a from both sides

3a = 21
divide both sides by 3a

a = 7

now, plug the answer you found for a into one of the two expressions

5a - 1 becomes (5*7) - 1, which equals 34

to double check that they're equivalent (since they're vertical angles)

2a + 20 becomes (2*7) + 20, which equals 34

both angles are 34 degrees!

7 0

3 years ago