Answer:
Step-by-step explanation:
To multiply matrices, we need to take the dot product of each row and column.
First, the dot product of (1,5) and (2,6) is what goes in the top-leftmost section of the resulting matrix. So the dot product would be (1*2)+(5*6)=2+30=32.
Second, the dot product of (1,5) and (6,-1) is what goes in the top-rightmost section of the resulting matrix. So the dot product would be (1*6)+(5*-1)=6-5=1.
Third, the dot product of (-3,4) and (2,6) is what goes in the bottom-leftmost section of the resulting matrix. So the dot product would be (-3*2)+(4*6)=-6+24=18.
Fourth, the dot product of (-3,4) and (6,-1) is what goes in the bottom-rightmost section of the resulting matrix. So the dot product would be (-3*6)+(4*-1)=-18-4=-22.
Therefore, the resulting matrix is
Answer:
15 if the v is supposed to be the square root symbol
First, find a least common number for 4 and 6. It is 12.
Then try to change the denominator of the fraction to 12.
3/4=9/12
5/6=10/12
Answer:
436 square feet will not be provided for
Step-by-step explanation:
In this question, what we are simply asked to do is to calculate the area of the backyard that would be left after installing a square Hottub.
To get the answer here, what is necessary to do is to subtract the area of the square hot tub from the area of the rectangular yard.
Mathematically, the area of the mathematical yard would be :length * width: the length here is 10 feet and the width is 50 feet.
The area is thus 10 * 50 = 500 square feet
Now, we calculate the area of the square hottub = S^2 where S is the length of the side of the square. In this particular case, S = 8. The area of the square is thus; 8 * 8 = 64 square feet
Now the area left uncovered would now be; 500 sq feet - 64 square feet = 436 square feet
Answer:
Step-by-step explanation:
42=w(w-1)
w^2-w-42=0
w^2-6w+7w-42=0
(w+7)(w-6)=0
w=-7or w=6
note: we ignore the negative value as measurement cannot be negative
width=6metres
length=5metres