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notsponge [240]
3 years ago
15

Which matrix below represents 3 X 3 Identity Matrix (LaTeX: I_{3} I 3).

Mathematics
1 answer:
miskamm [114]3 years ago
8 0

Answer:

D

Step-by-step explanation:

Matrix D represents 3 x 3 identity matrix.

Because all elements of principal diagonal are 1 and others are zero.

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Three people invest at a ratio of 1:4:7. If the partnership is worth $636,000, what did each person invest?
olga_2 [115]

Answer:

See the detailed answers below

Step-by-step explanation:

Given data

Ratio=  1:4:7

combined ratio= 1+4+7= 12

Total amount= $636,000

Apply the part to all method

The first person will take

1/12= x/ 636,000

cross multiply

12x= 636,000*1

x= 636,000/12

x= 53000

The second person will take

4/12= x/ 636,000

cross multiply

12x= 636,000*4

x= 2544000/12

x= 212000

The third person will take

7/12= x/ 636,000

cross multiply

12x= 636,000*7

x= 4452000/12

x= 371000

6 0
3 years ago
What is the greatest common factor for 12 16 and 28
gayaneshka [121]
12=\fbox2\times\fbox2\times3\\\\16=\fbox2\times\fbox2\times2\times2\\\\28=\fbox2\times\fbox2\times7\\\\GCF(12;\ 16;\ 28)=\fbox2\times\fbox2=\boxed{\boxed{4}}
5 0
3 years ago
Two vertical angles have measures of 3x and x+50. The x= Select one: a. 25 b. 50 c. 32.5 d. 10
KIM [24]

Answer:

a. 25

Step-by-step explanation:

Note that the specifically state that they are vertical angles. This means that the two measurements should equal each other. Set the two expressions equal to each other, and isolate the x. Note the equal sign, what you do to one side, you do to the other:

3x = x + 50

Subtract x from both sides to isolate the x:

3x (-x) = x (-x) + 50

3x - x = 50

2x = 50

Isolate the x, divide 2 from both sides:

(2x)/2 = (50)/2

x = 50/2

x = 25

x = 25, or (a) 25 is your answer.

~

8 0
3 years ago
Read 2 more answers
Find the solution for the system of linear equations by elimination: -3x + y = 2, 4x - y = 4 Explain how you found the solution.
viktelen [127]

Answer:

x = 6 \\ y = 20

Step-by-step explanation:

1. Add the equations. The y's cancel out.

+ 4x - y =  + 4 \\  - 3x + y =  + 2 \\  -  -  -  -  -  -  -  \\ x = 6

2. Embed x in either equation and find y.

4x - y = 4 \\ 4(6) - y = 4 \\ 24 - y = 4 \\ 20 - y = 0 \\ y = 20

4 0
3 years ago
Is it possible to draw three lines in two planes such that all three lines are skew?
nata0808 [166]
Yes; it is possible 

<span>If the planes are parallel to each other then they don't intersect. </span>

<span>There can also be two or more lines on different planes which do not intersect each other. These lines are called skew lines.</span>
8 0
4 years ago
Read 2 more answers
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