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
35
 		B= 
57
06
 		and c = 
3-2
53
 		 

 (A+B)C =

 
 
 






Answer:_______________




2)  

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

If  A = 
33
55
 		B= 
56
07
 		and c = 
1-2
34
 		 

 (A+B)C =

 
 
 






Answer:_______________




3)  

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

If  A = 
33
37
 		B= 
64
06
 		and c = 
3-2
23
 		 

 (A+B)C =

 
 
 






Answer:_______________




4)  

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

If  A = 
33
56
 		B= 
57
09
 		and c = 
4-1
44
 		 

 (A+B)C =

 
 
 






Answer:_______________




5)  

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

If  A = 
33
54
 		B= 
55
05
 		and c = 
4-1
43
 		 

 (A+B)C =

 
 
 






Answer:_______________




6)  

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

If  A = 
33
45
 		B= 
56
08
 		and c = 
1-2
43
 		 

 (A+B)C =

 
 
 






Answer:_______________




7)  

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

If  A = 
33
45
 		B= 
55
09
 		and c = 
3-1
24
 		 

 (A+B)C =

 
 
 






Answer:_______________




8)  

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

If  A = 
33
23
 		B= 
68
07
 		and c = 
3-2
44
 		 

 (A+B)C =

 
 
 






Answer:_______________




9)  

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

If  A = 
33
36
 		B= 
66
09
 		and c = 
3-1
44
 		 

 (A+B)C =

 
 
 






Answer:_______________




10)  

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

If  A = 
33
27
 		B= 
64
06
 		and c = 
1-1
54
 		 

 (A+B)C =

 
 
 






Answer:_______________




 

1)  

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

If  A = 
33
35
 		B= 
57
06
 		and c = 
3-2
53
 		 

 (A+B)C =

 
Answer: 74 Answer: 14
Answer: 64 Answer: 27
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
35
 		B= 
57
06
 		and c = 
3-2
53
 

T0 find (A+B) C

A + B =
33
35
+
57
06
=
810
311
(A+B) C =
810
311
 
3-2
53
 		= 
24+50-16+30
9+55-6+33
 		= 
7414
6427
 		...(1)

To find AC+ BC

 

AC =
33
35
 
3-2
53
 		= 
9+15-6+9
9+25-6+15
 		= 
243
349
 

 

BC =
57
06
 
3-2
53
 		= 
15+35-10+21
0+300+18
 		= 
5011
3018
 
AC+BC 
243
349
 		+ 
5011
3018
 		= 
7414
6427
 		....(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
55
 		B= 
56
07
 		and c = 
1-2
34
 		 

 (A+B)C =

 
Answer: 35 Answer: 20
Answer: 41 Answer: 38
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
55
 		B= 
56
07
 		and c = 
1-2
34
 

T0 find (A+B) C

A + B =
33
55
+
56
07
=
89
512
(A+B) C =
89
512
 
1-2
34
 		= 
8+27-16+36
5+36-10+48
 		= 
3520
4138
 		...(1)

To find AC+ BC

 

AC =
33
55
 
1-2
34
 		= 
3+9-6+12
5+15-10+20
 		= 
126
2010
 

 

BC =
56
07
 
1-2
34
 		= 
5+18-10+24
0+210+28
 		= 
2314
2128
 
AC+BC 
126
2010
 		+ 
2314
2128
 		= 
3520
4138
 		....(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
37
 		B= 
64
06
 		and c = 
3-2
23
 		 

 (A+B)C =

 
Answer: 41 Answer: 3
Answer: 35 Answer: 33
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
37
 		B= 
64
06
 		and c = 
3-2
23
 

T0 find (A+B) C

A + B =
33
37
+
64
06
=
97
313
(A+B) C =
97
313
 
3-2
23
 		= 
27+14-18+21
9+26-6+39
 		= 
413
3533
 		...(1)

To find AC+ BC

 

AC =
33
37
 
3-2
23
 		= 
9+6-6+9
9+14-6+21
 		= 
153
2315
 

 

BC =
64
06
 
3-2
23
 		= 
18+8-12+12
0+120+18
 		= 
260
1218
 
AC+BC 
153
2315
 		+ 
260
1218
 		= 
413
3533
 		....(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
56
 		B= 
57
09
 		and c = 
4-1
44
 		 

 (A+B)C =

 
Answer: 72 Answer: 32
Answer: 80 Answer: 55
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
56
 		B= 
57
09
 		and c = 
4-1
44
 

T0 find (A+B) C

A + B =
33
56
+
57
09
=
810
515
(A+B) C =
810
515
 
4-1
44
 		= 
32+40-8+40
20+60-5+60
 		= 
7232
8055
 		...(1)

To find AC+ BC

 

AC =
33
56
 
4-1
44
 		= 
12+12-3+12
20+24-5+24
 		= 
249
4419
 

 

BC =
57
09
 
4-1
44
 		= 
20+28-5+28
0+360+36
 		= 
4823
3636
 
AC+BC 
249
4419
 		+ 
4823
3636
 		= 
7232
8055
 		....(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
54
 		B= 
55
05
 		and c = 
4-1
43
 		 

 (A+B)C =

 
Answer: 64 Answer: 16
Answer: 56 Answer: 22
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
54
 		B= 
55
05
 		and c = 
4-1
43
 

T0 find (A+B) C

A + B =
33
54
+
55
05
=
88
59
(A+B) C =
88
59
 
4-1
43
 		= 
32+32-8+24
20+36-5+27
 		= 
6416
5622
 		...(1)

To find AC+ BC

 

AC =
33
54
 
4-1
43
 		= 
12+12-3+9
20+16-5+12
 		= 
246
367
 

 

BC =
55
05
 
4-1
43
 		= 
20+20-5+15
0+200+15
 		= 
4010
2015
 
AC+BC 
246
367
 		+ 
4010
2015
 		= 
6416
5622
 		....(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
45
 		B= 
56
08
 		and c = 
1-2
43
 		 

 (A+B)C =

 
Answer: 44 Answer: 11
Answer: 56 Answer: 31
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
45
 		B= 
56
08
 		and c = 
1-2
43
 

T0 find (A+B) C

A + B =
33
45
+
56
08
=
89
413
(A+B) C =
89
413
 
1-2
43
 		= 
8+36-16+27
4+52-8+39
 		= 
4411
5631
 		...(1)

To find AC+ BC

 

AC =
33
45
 
1-2
43
 		= 
3+12-6+9
4+20-8+15
 		= 
153
247
 

 

BC =
56
08
 
1-2
43
 		= 
5+24-10+18
0+320+24
 		= 
298
3224
 
AC+BC 
153
247
 		+ 
298
3224
 		= 
4411
5631
 		....(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
45
 		B= 
55
09
 		and c = 
3-1
24
 		 

 (A+B)C =

 
Answer: 40 Answer: 24
Answer: 40 Answer: 52
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
45
 		B= 
55
09
 		and c = 
3-1
24
 

T0 find (A+B) C

A + B =
33
45
+
55
09
=
88
414
(A+B) C =
88
414
 
3-1
24
 		= 
24+16-8+32
12+28-4+56
 		= 
4024
4052
 		...(1)

To find AC+ BC

 

AC =
33
45
 
3-1
24
 		= 
9+6-3+12
12+10-4+20
 		= 
159
2216
 

 

BC =
55
09
 
3-1
24
 		= 
15+10-5+20
0+180+36
 		= 
2515
1836
 
AC+BC 
159
2216
 		+ 
2515
1836
 		= 
4024
4052
 		....(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
23
 		B= 
68
07
 		and c = 
3-2
44
 		 

 (A+B)C =

 
Answer: 71 Answer: 26
Answer: 46 Answer: 36
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
23
 		B= 
68
07
 		and c = 
3-2
44
 

T0 find (A+B) C

A + B =
33
23
+
68
07
=
911
210
(A+B) C =
911
210
 
3-2
44
 		= 
27+44-18+44
6+40-4+40
 		= 
7126
4636
 		...(1)

To find AC+ BC

 

AC =
33
23
 
3-2
44
 		= 
9+12-6+12
6+12-4+12
 		= 
216
188
 

 

BC =
68
07
 
3-2
44
 		= 
18+32-12+32
0+280+28
 		= 
5020
2828
 
AC+BC 
216
188
 		+ 
5020
2828
 		= 
7126
4636
 		....(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= 
66
09
 		and c = 
3-1
44
 		 

 (A+B)C =

 
Answer: 63 Answer: 27
Answer: 69 Answer: 57
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
36
 		B= 
66
09
 		and c = 
3-1
44
 

T0 find (A+B) C

A + B =
33
36
+
66
09
=
99
315
(A+B) C =
99
315
 
3-1
44
 		= 
27+36-9+36
9+60-3+60
 		= 
6327
6957
 		...(1)

To find AC+ BC

 

AC =
33
36
 
3-1
44
 		= 
9+12-3+12
9+24-3+24
 		= 
219
3321
 

 

BC =
66
09
 
3-1
44
 		= 
18+24-6+24
0+360+36
 		= 
4218
3636
 
AC+BC 
219
3321
 		+ 
4218
3636
 		= 
6327
6957
 		....(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
27
 		B= 
64
06
 		and c = 
1-1
54
 		 

 (A+B)C =

 
Answer: 44 Answer: 19
Answer: 67 Answer: 50
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
27
 		B= 
64
06
 		and c = 
1-1
54
 

T0 find (A+B) C

A + B =
33
27
+
64
06
=
97
213
(A+B) C =
97
213
 
1-1
54
 		= 
9+35-9+28
2+65-2+52
 		= 
4419
6750
 		...(1)

To find AC+ BC

 

AC =
33
27
 
1-1
54
 		= 
3+15-3+12
2+35-2+28
 		= 
189
3726
 

 

BC =
64
06
 
1-1
54
 		= 
6+20-6+16
0+300+24
 		= 
2610
3024
 
AC+BC 
189
3726
 		+ 
2610
3024
 		= 
4419
6750
 		....(2)

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