Scroll:matrices >> find the value 2 row 3 col >> ps (4145)

Written Instructions:

For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.


 

1)  

Find (A+b)C and AC+BC. Is (A+B)C = AC+BC.

If  A = 
33
36
 		B= 
58
08
 		and c = 
4-1
54
 		 

 (A+B)C =

 
 
 






Answer:_______________




2)  

Find (A+b)C and AC+BC. Is (A+B)C = AC+BC.

If  A = 
33
57
 		B= 
65
06
 		and c = 
4-2
33
 		 

 (A+B)C =

 
 
 






Answer:_______________




3)  

Find (A+b)C and AC+BC. Is (A+B)C = AC+BC.

If  A = 
33
35
 		B= 
68
06
 		and c = 
4-1
24
 		 

 (A+B)C =

 
 
 






Answer:_______________




4)  

Find (A+b)C and AC+BC. Is (A+B)C = AC+BC.

If  A = 
33
24
 		B= 
57
08
 		and c = 
1-1
44
 		 

 (A+B)C =

 
 
 






Answer:_______________




5)  

Find (A+b)C and AC+BC. Is (A+B)C = AC+BC.

If  A = 
33
37
 		B= 
67
05
 		and c = 
4-2
44
 		 

 (A+B)C =

 
 
 






Answer:_______________




6)  

Find (A+b)C and AC+BC. Is (A+B)C = AC+BC.

If  A = 
33
26
 		B= 
57
07
 		and c = 
2-2
44
 		 

 (A+B)C =

 
 
 






Answer:_______________




7)  

Find (A+b)C and AC+BC. Is (A+B)C = AC+BC.

If  A = 
33
24
 		B= 
64
08
 		and c = 
2-1
53
 		 

 (A+B)C =

 
 
 






Answer:_______________




8)  

Find (A+b)C and AC+BC. Is (A+B)C = AC+BC.

If  A = 
33
34
 		B= 
58
05
 		and c = 
3-2
33
 		 

 (A+B)C =

 
 
 






Answer:_______________




9)  

Find (A+b)C and AC+BC. Is (A+B)C = AC+BC.

If  A = 
33
45
 		B= 
58
05
 		and c = 
4-1
24
 		 

 (A+B)C =

 
 
 






Answer:_______________




10)  

Find (A+b)C and AC+BC. Is (A+B)C = AC+BC.

If  A = 
33
43
 		B= 
67
05
 		and c = 
1-2
44
 		 

 (A+B)C =

 
 
 






Answer:_______________




 

1)  

Find (A+b)C and AC+BC. Is (A+B)C = AC+BC.

If  A = 
33
36
 		B= 
58
08
 		and c = 
4-1
54
 		 

 (A+B)C =

 
Answer: 87 Answer: 36
Answer: 82 Answer: 53
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
36
 		B= 
58
08
 		and c = 
4-1
54
 

T0 find (A+B) C

A + B =
33
36
+
58
08
=
811
314
(A+B) C =
811
314
 
4-1
54
 		= 
32+55-8+44
12+70-3+56
 		= 
8736
8253
 		...(1)

To find AC+ BC

 

AC =
33
36
 
4-1
54
 		= 
12+15-3+12
12+30-3+24
 		= 
279
4221
 

 

BC =
58
08
 
4-1
54
 		= 
20+40-5+32
0+400+32
 		= 
6027
4032
 
AC+BC 
279
4221
 		+ 
6027
4032
 		= 
8736
8253
 		....(2)

From (1) and We get (A+B)C = AC + BC

 



2)  

Find (A+b)C and AC+BC. Is (A+B)C = AC+BC.

If  A = 
33
57
 		B= 
65
06
 		and c = 
4-2
33
 		 

 (A+B)C =

 
Answer: 60 Answer: 6
Answer: 59 Answer: 29
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
57
 		B= 
65
06
 		and c = 
4-2
33
 

T0 find (A+B) C

A + B =
33
57
+
65
06
=
98
513
(A+B) C =
98
513
 
4-2
33
 		= 
36+24-18+24
20+39-10+39
 		= 
606
5929
 		...(1)

To find AC+ BC

 

AC =
33
57
 
4-2
33
 		= 
12+9-6+9
20+21-10+21
 		= 
213
4111
 

 

BC =
65
06
 
4-2
33
 		= 
24+15-12+15
0+180+18
 		= 
393
1818
 
AC+BC 
213
4111
 		+ 
393
1818
 		= 
606
5929
 		....(2)

From (1) and We get (A+B)C = AC + BC

 



3)  

Find (A+b)C and AC+BC. Is (A+B)C = AC+BC.

If  A = 
33
35
 		B= 
68
06
 		and c = 
4-1
24
 		 

 (A+B)C =

 
Answer: 58 Answer: 35
Answer: 34 Answer: 41
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
35
 		B= 
68
06
 		and c = 
4-1
24
 

T0 find (A+B) C

A + B =
33
35
+
68
06
=
911
311
(A+B) C =
911
311
 
4-1
24
 		= 
36+22-9+44
12+22-3+44
 		= 
5835
3441
 		...(1)

To find AC+ BC

 

AC =
33
35
 
4-1
24
 		= 
12+6-3+12
12+10-3+20
 		= 
189
2217
 

 

BC =
68
06
 
4-1
24
 		= 
24+16-6+32
0+120+24
 		= 
4026
1224
 
AC+BC 
189
2217
 		+ 
4026
1224
 		= 
5835
3441
 		....(2)

From (1) and We get (A+B)C = AC + BC

 



4)  

Find (A+b)C and AC+BC. Is (A+B)C = AC+BC.

If  A = 
33
24
 		B= 
57
08
 		and c = 
1-1
44
 		 

 (A+B)C =

 
Answer: 48 Answer: 32
Answer: 50 Answer: 46
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
24
 		B= 
57
08
 		and c = 
1-1
44
 

T0 find (A+B) C

A + B =
33
24
+
57
08
=
810
212
(A+B) C =
810
212
 
1-1
44
 		= 
8+40-8+40
2+48-2+48
 		= 
4832
5046
 		...(1)

To find AC+ BC

 

AC =
33
24
 
1-1
44
 		= 
3+12-3+12
2+16-2+16
 		= 
159
1814
 

 

BC =
57
08
 
1-1
44
 		= 
5+28-5+28
0+320+32
 		= 
3323
3232
 
AC+BC 
159
1814
 		+ 
3323
3232
 		= 
4832
5046
 		....(2)

From (1) and We get (A+B)C = AC + BC

 



5)  

Find (A+b)C and AC+BC. Is (A+B)C = AC+BC.

If  A = 
33
37
 		B= 
67
05
 		and c = 
4-2
44
 		 

 (A+B)C =

 
Answer: 76 Answer: 22
Answer: 60 Answer: 42
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
37
 		B= 
67
05
 		and c = 
4-2
44
 

T0 find (A+B) C

A + B =
33
37
+
67
05
=
910
312
(A+B) C =
910
312
 
4-2
44
 		= 
36+40-18+40
12+48-6+48
 		= 
7622
6042
 		...(1)

To find AC+ BC

 

AC =
33
37
 
4-2
44
 		= 
12+12-6+12
12+28-6+28
 		= 
246
4022
 

 

BC =
67
05
 
4-2
44
 		= 
24+28-12+28
0+200+20
 		= 
5216
2020
 
AC+BC 
246
4022
 		+ 
5216
2020
 		= 
7622
6042
 		....(2)

From (1) and We get (A+B)C = AC + BC

 



6)  

Find (A+b)C and AC+BC. Is (A+B)C = AC+BC.

If  A = 
33
26
 		B= 
57
07
 		and c = 
2-2
44
 		 

 (A+B)C =

 
Answer: 56 Answer: 24
Answer: 56 Answer: 48
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
26
 		B= 
57
07
 		and c = 
2-2
44
 

T0 find (A+B) C

A + B =
33
26
+
57
07
=
810
213
(A+B) C =
810
213
 
2-2
44
 		= 
16+40-16+40
4+52-4+52
 		= 
5624
5648
 		...(1)

To find AC+ BC

 

AC =
33
26
 
2-2
44
 		= 
6+12-6+12
4+24-4+24
 		= 
186
2820
 

 

BC =
57
07
 
2-2
44
 		= 
10+28-10+28
0+280+28
 		= 
3818
2828
 
AC+BC 
186
2820
 		+ 
3818
2828
 		= 
5624
5648
 		....(2)

From (1) and We get (A+B)C = AC + BC

 



7)  

Find (A+b)C and AC+BC. Is (A+B)C = AC+BC.

If  A = 
33
24
 		B= 
64
08
 		and c = 
2-1
53
 		 

 (A+B)C =

 
Answer: 53 Answer: 12
Answer: 64 Answer: 34
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
24
 		B= 
64
08
 		and c = 
2-1
53
 

T0 find (A+B) C

A + B =
33
24
+
64
08
=
97
212
(A+B) C =
97
212
 
2-1
53
 		= 
18+35-9+21
4+60-2+36
 		= 
5312
6434
 		...(1)

To find AC+ BC

 

AC =
33
24
 
2-1
53
 		= 
6+15-3+9
4+20-2+12
 		= 
216
2410
 

 

BC =
64
08
 
2-1
53
 		= 
12+20-6+12
0+400+24
 		= 
326
4024
 
AC+BC 
216
2410
 		+ 
326
4024
 		= 
5312
6434
 		....(2)

From (1) and We get (A+B)C = AC + BC

 



8)  

Find (A+b)C and AC+BC. Is (A+B)C = AC+BC.

If  A = 
33
34
 		B= 
58
05
 		and c = 
3-2
33
 		 

 (A+B)C =

 
Answer: 57 Answer: 17
Answer: 36 Answer: 21
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
34
 		B= 
58
05
 		and c = 
3-2
33
 

T0 find (A+B) C

A + B =
33
34
+
58
05
=
811
39
(A+B) C =
811
39
 
3-2
33
 		= 
24+33-16+33
9+27-6+27
 		= 
5717
3621
 		...(1)

To find AC+ BC

 

AC =
33
34
 
3-2
33
 		= 
9+9-6+9
9+12-6+12
 		= 
183
216
 

 

BC =
58
05
 
3-2
33
 		= 
15+24-10+24
0+150+15
 		= 
3914
1515
 
AC+BC 
183
216
 		+ 
3914
1515
 		= 
5717
3621
 		....(2)

From (1) and We get (A+B)C = AC + BC

 



9)  

Find (A+b)C and AC+BC. Is (A+B)C = AC+BC.

If  A = 
33
45
 		B= 
58
05
 		and c = 
4-1
24
 		 

 (A+B)C =

 
Answer: 54 Answer: 36
Answer: 36 Answer: 36
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
45
 		B= 
58
05
 		and c = 
4-1
24
 

T0 find (A+B) C

A + B =
33
45
+
58
05
=
811
410
(A+B) C =
811
410
 
4-1
24
 		= 
32+22-8+44
16+20-4+40
 		= 
5436
3636
 		...(1)

To find AC+ BC

 

AC =
33
45
 
4-1
24
 		= 
12+6-3+12
16+10-4+20
 		= 
189
2616
 

 

BC =
58
05
 
4-1
24
 		= 
20+16-5+32
0+100+20
 		= 
3627
1020
 
AC+BC 
189
2616
 		+ 
3627
1020
 		= 
5436
3636
 		....(2)

From (1) and We get (A+B)C = AC + BC

 



10)  

Find (A+b)C and AC+BC. Is (A+B)C = AC+BC.

If  A = 
33
43
 		B= 
67
05
 		and c = 
1-2
44
 		 

 (A+B)C =

 
Answer: 49 Answer: 22
Answer: 36 Answer: 24
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
43
 		B= 
67
05
 		and c = 
1-2
44
 

T0 find (A+B) C

A + B =
33
43
+
67
05
=
910
48
(A+B) C =
910
48
 
1-2
44
 		= 
9+40-18+40
4+32-8+32
 		= 
4922
3624
 		...(1)

To find AC+ BC

 

AC =
33
43
 
1-2
44
 		= 
3+12-6+12
4+12-8+12
 		= 
156
164
 

 

BC =
67
05
 
1-2
44
 		= 
6+28-12+28
0+200+20
 		= 
3416
2020
 
AC+BC 
156
164
 		+ 
3416
2020
 		= 
4922
3624
 		....(2)

From (1) and We get (A+B)C = AC + BC