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
57
 		B= 
66
05
 		and c = 
4-2
34
 		 

 (A+B)C =

 
 
 






Answer:_______________




2)  

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

If  A = 
33
27
 		B= 
65
08
 		and c = 
3-1
44
 		 

 (A+B)C =

 
 
 






Answer:_______________




3)  

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

If  A = 
33
27
 		B= 
65
06
 		and c = 
2-1
23
 		 

 (A+B)C =

 
 
 






Answer:_______________




4)  

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

If  A = 
33
33
 		B= 
56
07
 		and c = 
3-1
53
 		 

 (A+B)C =

 
 
 






Answer:_______________




5)  

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

If  A = 
33
55
 		B= 
67
07
 		and c = 
1-2
33
 		 

 (A+B)C =

 
 
 






Answer:_______________




6)  

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

If  A = 
33
37
 		B= 
65
06
 		and c = 
4-1
24
 		 

 (A+B)C =

 
 
 






Answer:_______________




7)  

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

If  A = 
33
27
 		B= 
64
08
 		and c = 
2-2
54
 		 

 (A+B)C =

 
 
 






Answer:_______________




8)  

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

If  A = 
33
47
 		B= 
68
08
 		and c = 
3-1
44
 		 

 (A+B)C =

 
 
 






Answer:_______________




9)  

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

If  A = 
33
36
 		B= 
57
07
 		and c = 
4-1
43
 		 

 (A+B)C =

 
 
 






Answer:_______________




10)  

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

If  A = 
33
55
 		B= 
57
09
 		and c = 
4-1
23
 		 

 (A+B)C =

 
 
 






Answer:_______________




 

1)  

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

If  A = 
33
57
 		B= 
66
05
 		and c = 
4-2
34
 		 

 (A+B)C =

 
Answer: 63 Answer: 18
Answer: 56 Answer: 38
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
57
 		B= 
66
05
 		and c = 
4-2
34
 

T0 find (A+B) C

A + B =
33
57
+
66
05
=
99
512
(A+B) C =
99
512
 
4-2
34
 		= 
36+27-18+36
20+36-10+48
 		= 
6318
5638
 		...(1)

To find AC+ BC

 

AC =
33
57
 
4-2
34
 		= 
12+9-6+12
20+21-10+28
 		= 
216
4118
 

 

BC =
66
05
 
4-2
34
 		= 
24+18-12+24
0+150+20
 		= 
4212
1520
 
AC+BC 
216
4118
 		+ 
4212
1520
 		= 
6318
5638
 		....(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
27
 		B= 
65
08
 		and c = 
3-1
44
 		 

 (A+B)C =

 
Answer: 59 Answer: 23
Answer: 66 Answer: 58
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
27
 		B= 
65
08
 		and c = 
3-1
44
 

T0 find (A+B) C

A + B =
33
27
+
65
08
=
98
215
(A+B) C =
98
215
 
3-1
44
 		= 
27+32-9+32
6+60-2+60
 		= 
5923
6658
 		...(1)

To find AC+ BC

 

AC =
33
27
 
3-1
44
 		= 
9+12-3+12
6+28-2+28
 		= 
219
3426
 

 

BC =
65
08
 
3-1
44
 		= 
18+20-6+20
0+320+32
 		= 
3814
3232
 
AC+BC 
219
3426
 		+ 
3814
3232
 		= 
5923
6658
 		....(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
27
 		B= 
65
06
 		and c = 
2-1
23
 		 

 (A+B)C =

 
Answer: 34 Answer: 15
Answer: 30 Answer: 37
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
27
 		B= 
65
06
 		and c = 
2-1
23
 

T0 find (A+B) C

A + B =
33
27
+
65
06
=
98
213
(A+B) C =
98
213
 
2-1
23
 		= 
18+16-9+24
4+26-2+39
 		= 
3415
3037
 		...(1)

To find AC+ BC

 

AC =
33
27
 
2-1
23
 		= 
6+6-3+9
4+14-2+21
 		= 
126
1819
 

 

BC =
65
06
 
2-1
23
 		= 
12+10-6+15
0+120+18
 		= 
229
1218
 
AC+BC 
126
1819
 		+ 
229
1218
 		= 
3415
3037
 		....(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
33
 		B= 
56
07
 		and c = 
3-1
53
 		 

 (A+B)C =

 
Answer: 69 Answer: 19
Answer: 59 Answer: 27
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
33
 		B= 
56
07
 		and c = 
3-1
53
 

T0 find (A+B) C

A + B =
33
33
+
56
07
=
89
310
(A+B) C =
89
310
 
3-1
53
 		= 
24+45-8+27
9+50-3+30
 		= 
6919
5927
 		...(1)

To find AC+ BC

 

AC =
33
33
 
3-1
53
 		= 
9+15-3+9
9+15-3+9
 		= 
246
246
 

 

BC =
56
07
 
3-1
53
 		= 
15+30-5+18
0+350+21
 		= 
4513
3521
 
AC+BC 
246
246
 		+ 
4513
3521
 		= 
6919
5927
 		....(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
55
 		B= 
67
07
 		and c = 
1-2
33
 		 

 (A+B)C =

 
Answer: 39 Answer: 12
Answer: 41 Answer: 26
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
55
 		B= 
67
07
 		and c = 
1-2
33
 

T0 find (A+B) C

A + B =
33
55
+
67
07
=
910
512
(A+B) C =
910
512
 
1-2
33
 		= 
9+30-18+30
5+36-10+36
 		= 
3912
4126
 		...(1)

To find AC+ BC

 

AC =
33
55
 
1-2
33
 		= 
3+9-6+9
5+15-10+15
 		= 
123
205
 

 

BC =
67
07
 
1-2
33
 		= 
6+21-12+21
0+210+21
 		= 
279
2121
 
AC+BC 
123
205
 		+ 
279
2121
 		= 
3912
4126
 		....(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
37
 		B= 
65
06
 		and c = 
4-1
24
 		 

 (A+B)C =

 
Answer: 52 Answer: 23
Answer: 38 Answer: 49
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
37
 		B= 
65
06
 		and c = 
4-1
24
 

T0 find (A+B) C

A + B =
33
37
+
65
06
=
98
313
(A+B) C =
98
313
 
4-1
24
 		= 
36+16-9+32
12+26-3+52
 		= 
5223
3849
 		...(1)

To find AC+ BC

 

AC =
33
37
 
4-1
24
 		= 
12+6-3+12
12+14-3+28
 		= 
189
2625
 

 

BC =
65
06
 
4-1
24
 		= 
24+10-6+20
0+120+24
 		= 
3414
1224
 
AC+BC 
189
2625
 		+ 
3414
1224
 		= 
5223
3849
 		....(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
27
 		B= 
64
08
 		and c = 
2-2
54
 		 

 (A+B)C =

 
Answer: 53 Answer: 10
Answer: 79 Answer: 56
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
27
 		B= 
64
08
 		and c = 
2-2
54
 

T0 find (A+B) C

A + B =
33
27
+
64
08
=
97
215
(A+B) C =
97
215
 
2-2
54
 		= 
18+35-18+28
4+75-4+60
 		= 
5310
7956
 		...(1)

To find AC+ BC

 

AC =
33
27
 
2-2
54
 		= 
6+15-6+12
4+35-4+28
 		= 
216
3924
 

 

BC =
64
08
 
2-2
54
 		= 
12+20-12+16
0+400+32
 		= 
324
4032
 
AC+BC 
216
3924
 		+ 
324
4032
 		= 
5310
7956
 		....(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
47
 		B= 
68
08
 		and c = 
3-1
44
 		 

 (A+B)C =

 
Answer: 71 Answer: 35
Answer: 72 Answer: 56
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
47
 		B= 
68
08
 		and c = 
3-1
44
 

T0 find (A+B) C

A + B =
33
47
+
68
08
=
911
415
(A+B) C =
911
415
 
3-1
44
 		= 
27+44-9+44
12+60-4+60
 		= 
7135
7256
 		...(1)

To find AC+ BC

 

AC =
33
47
 
3-1
44
 		= 
9+12-3+12
12+28-4+28
 		= 
219
4024
 

 

BC =
68
08
 
3-1
44
 		= 
18+32-6+32
0+320+32
 		= 
5026
3232
 
AC+BC 
219
4024
 		+ 
5026
3232
 		= 
7135
7256
 		....(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
36
 		B= 
57
07
 		and c = 
4-1
43
 		 

 (A+B)C =

 
Answer: 72 Answer: 22
Answer: 64 Answer: 36
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
36
 		B= 
57
07
 		and c = 
4-1
43
 

T0 find (A+B) C

A + B =
33
36
+
57
07
=
810
313
(A+B) C =
810
313
 
4-1
43
 		= 
32+40-8+30
12+52-3+39
 		= 
7222
6436
 		...(1)

To find AC+ BC

 

AC =
33
36
 
4-1
43
 		= 
12+12-3+9
12+24-3+18
 		= 
246
3615
 

 

BC =
57
07
 
4-1
43
 		= 
20+28-5+21
0+280+21
 		= 
4816
2821
 
AC+BC 
246
3615
 		+ 
4816
2821
 		= 
7222
6436
 		....(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
55
 		B= 
57
09
 		and c = 
4-1
23
 		 

 (A+B)C =

 
Answer: 52 Answer: 22
Answer: 48 Answer: 37
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
55
 		B= 
57
09
 		and c = 
4-1
23
 

T0 find (A+B) C

A + B =
33
55
+
57
09
=
810
514
(A+B) C =
810
514
 
4-1
23
 		= 
32+20-8+30
20+28-5+42
 		= 
5222
4837
 		...(1)

To find AC+ BC

 

AC =
33
55
 
4-1
23
 		= 
12+6-3+9
20+10-5+15
 		= 
186
3010
 

 

BC =
57
09
 
4-1
23
 		= 
20+14-5+21
0+180+27
 		= 
3416
1827
 
AC+BC 
186
3010
 		+ 
3416
1827
 		= 
5222
4837
 		....(2)

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