Answer:
area = 24 units squared
Step-by-step explanation:
area = 1/2 (base 1 + base 2) x height
area = 1/2 (4 + 8) x 4
area = 1/2 (12) x 4
area = 6 x 4
area = 24
Answer:
Five
Step-by-step explanation:
Pivot columns are said to be columns where pivot exist and a pivot exist in the first nonzero entry of each row in a matrix that is in a shape resulting from a Gaussian elimination.
Suppose A = 5 × 7 matrix
So; if A columns span set of real numbers R⁵
The number of pivot columns that A must have must be present in each row. In a 5 × 7 matrix ; we have 5 rows and 7 columns . So , since A must be present in each row, then :
The matrix must have five pivot columns and we can infer that about the statements that "A has a pivot position in every row" and "the columns of A spans R⁵" are logically equivalent.
The two equations that have been given in the question are:
x - y = 11
2x + y =19
Now we will take the first equation.
x - y = 11
x = 11 + y
Now replacing the value of x in the second equation we get
2x + y = 19
2(11 + y) = 19
22 + 2y = 19
2y = 19 - 22
2y = -3
y = - 3/2
Now putting the value of y in the first equation we get
x - y = 11
x - (-3/2) = 11
2x + 3 = 11 * 2
2x + 3 = 22
2x = 22 -3
2x = 19
x = 19/2
So the value of x is 19/2 and the value of y is -3/2.
1 foot = 12 inches.
5 ft x 12 inches per foot = 60 inches.
60 inches + 10 inches = 70 inches.
Sara was 70 inches tall.
Now convert to centimeters:
70 inches x 2.54 centimeters per inch = 177.8 cm's.
Round to nearest centimeter = 178 cm's.