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Inessa [10]
3 years ago
14

A triangle is located on a three-dimensional coordinate plane. Matrix A shows the location of each vertex, where the first colum

n represents the x coordinate, the second column represents the y coordinate, and the third column represents the z coordinate.
(See image bellow)

The triangle is dilated by a scale factor of 2, then translated by the factors in matrix B, resulting in an image triangle as represented by the equation below.

(See image bellow)

In which directions are the vertices translated, as indicated by matrix B?

Mathematics
2 answers:
marin [14]3 years ago
5 0

Answer:

A

Step-by-step explanation:

Right on Edge

ExtremeBDS [4]3 years ago
4 0

Answer:

3 units in the x direction, -2 units in the y direction, 1 unit in the z direction

Step-by-step explanation:

3 units in the x direction, -2 units in the y direction, 1 unit in the z direction

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In a study relating the degree of warping, in mm, of a copper plate (y) to temperature in °C (x), the following summary statisti
elena-14-01-66 [18.8K]

Answer:

a)

y = 0.3035 + 0.0082x

b)

0.6315 mm

c)

x = 23.9634 °C

Step-by-step explanation:

a. Compute the least-squares line for predicting warping from temperature. Round the answers to four decimal places.

We need to find an equation of the form

y = b + mx

where m is the slope and b the Y-intercept.

The slope m can be computed with the formula

\bf m=\displaystyle\frac{\displaystyle\sum_{i=1}^n(x_i-\bar x)(y_i-\bar y)}{\displaystyle\sum_{i=1}^n(x_i-\bar x)^2}

Replacing the values in our formula (we will round at the end of the calculations)

\bf m=\displaystyle\frac{806.94}{98,775}=0.008169476

the Y-intercept b is computed with the formula

\bf b=\bar y-m\bar x

therefore we have

\bf b=0.5188-0.008169476*26.36=0.303452613

and the least-squares line rounded to 4 decimals would be

y = 0.3035 + 0.0082x

b. Predict the warping at a temperature of 40°C. Round the answer to three decimal places.

We simply replace x with 40 to get

y = 0.3035 + 0.0082*40 = 0.6315 mm

c. At what temperature will we predict the warping to be 0.5 mm? Round the answer to two decimal places

Here, we replace y with 0.5 and solve for x

0.5 = 0.3035 + 0.0082x ===> x = (0.5-0.3035)/0.0082 ===>

 

x = 23.9634 °C

6 0
3 years ago
An event manager recorded the number of people in different age groups that attended a music concert.
ehidna [41]
The third data table accurately represents data in the histogram.
If you draw the histogram, it looks like in the .jpeg image enclosed with this answer.

7 0
3 years ago
Read 2 more answers
You toss one coin and roll one number cube. What is the probability the coin is heads and a 3 is rolled?
s344n2d4d5 [400]

Answer:

1/6 for the cube and 1/2 for the coin

it would be 4/6 or 2/3 both are the same

Step-by-step explanation: sorry if im wrong btw

7 0
3 years ago
Read 2 more answers
Help please!!! Thank you
Anna11 [10]

Answer: ∠ABE=20°

Step-by-step explanation:

∵ AB=BC

∴ ΔABC is a isosceles triangle

∵ ∠A=30

∴ ∠C=30

∵ The interior angle sum of triangle is 180°

∵ ∠A+∠B+∠C=180

    30+∠B+30=180

           ∠B+60=180

                  ∠B=120 (∠ABC)

∵ ∠EBD+∠ABE+∠ABC=linear pair

∴∠EBD+∠ABE+∠ABC=180°

                  4x+2x+120=180

                        6x+120=180

                                6x=60

                                  x=10

∠ABE=2x=2(10)=20°

Hope this helps!! :)

Please let me know if you have any question

6 0
3 years ago
Find the angles of 22 and 24 thanks
netineya [11]

Answer:

22) 119

24) 15

Step-by-step explanation:

22) 61 + b = 180              <-- supplementary because on the same line

      b = 119                     <-- subtracted 61 from both sides

24) 87 + (6x + 3) = 180        <-- supplementary because on the same line

     87 + 6x + 3 = 180          <-- take out parantheses

     90 + 6x = 180               <-- add like terms

     6x = 90                         <-- subtracted 90 from both sides

     x = 15                            <-- solve for x by dividing 6 from both sides

6 0
2 years ago
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