Step-by-step explanation:
In order to describe speed of an object, we must describe the average speed of the entire trip. It is equal to the distance moved divided by time taken.
If a person covers a distance of 1 km to the library in 15 minutes, we can find its average speed.
Firstly, we convert 15 minutes to hour, 15 min = 0.25 hours
Now, using formula of speed = distance/time
It means that the average speed of the person is 4 km/h. Hence, the given statement is true.
An expression must contain a variable
The equation y-4=1 has many solution(s).
9514 1404 393
Answer:
-2, 3
Step-by-step explanation:
For the product to be negative, exactly one of the two numbers must be negative. For the sum to be positive, the positive number must be larger than the absolute value of the negative number.
One such pair of numbers is -2 and 3.
__
Their product is -6; their sum is +1.
Answer:
sqrt(2) ≈1.414213562
Step-by-step explanation:
Distance is found by the formula
d =sqrt ( (x2-x1)^2 + (y2-y1)^2)
= sqrt( (-1/8 - 7/8)^2 + (7/8 --1/8)^2)
sqrt( (-8/8)^2 + (7/8 +1/8)^2)
sqrt( (-1)^2 + (1)^2)
sqrt ( 1 +1)
sqrt(2)
If the product of 2 matrices are I this means that B is inverse matrix of A.
the matrix A has been given
if we put symbols for the numbers in matrix A as shown below;
![\left[\begin{array}{ccc}a&b\\c&d\\\end{array}\right] ](https://tex.z-dn.net/?f=%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Da%26b%5C%5Cc%26d%5C%5C%5Cend%7Barray%7D%5Cright%5D%20%0A)
we need to first find the determinant (D)
D = ad - bc
where a = -1 , b = 4, c = -3 and d = 8
substituting these values
D = -1x8 - (4x-3)
= -8 + 12 = 4
to find the inverse we need to exchange a and d and then multiply both b and c by -1
![\left[\begin{array}{ccc}8&-4\\3&-1\\\end{array}\right]](https://tex.z-dn.net/?f=%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D8%26-4%5C%5C3%26-1%5C%5C%5Cend%7Barray%7D%5Cright%5D%20)
and then have to divide all the terms in matrix by determinant (4)
![\left[\begin{array}{ccc} \frac{8}{4} & \frac{-4}{4} \\ \frac{3}{4} & \frac{-1}{4} \\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D%20%5Cfrac%7B8%7D%7B4%7D%20%26%20%5Cfrac%7B-4%7D%7B4%7D%20%5C%5C%20%20%5Cfrac%7B3%7D%7B4%7D%20%26%20%5Cfrac%7B-1%7D%7B4%7D%20%5C%5C%5Cend%7Barray%7D%5Cright%5D)
the simplified inverse matrix B is;
![\left[\begin{array}{ccc} 2 & -1 \\ \frac{3}{4} & \frac{-1}{4} \\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D%202%20%26%20-1%20%5C%5C%20%5Cfrac%7B3%7D%7B4%7D%20%26%20%5Cfrac%7B-1%7D%7B4%7D%20%5C%5C%5Cend%7Barray%7D%5Cright%5D)
