1) 1,2,3,4,5,6,7
2) -3,-2,-1,0,1,2,3,4,5,6,7
3)-3,-2,-1
4)1,2,3,4
Answer:
k = 4 units
Step-by-step explanation:
Using Pythagoras' identity on the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
k² + 7.5² = 8.5²
k² + 56.25 = 72.25 ( subtract 56.25 from both sides )
k² = 16 ( take the square root of both sides )
k = 
= 4
Answer:
16
Step-by-step explanation:
Absolute value means the modulus of a number.
-16 and 16 give an absolute value of 16
16 > 12
Answer:
The width of the field is 4x + 20 / x² -2x -3 yards
Step-by-step explanation:
The area of a rectangular field is given by the following formula:
area = length*width
In this case we want to find the width of this field, therefore if we isolate the width in the expression above we will have a suitable expression:
width*length = area
width = area / length
So applying the data from the problem, we have:
width = [(2x + 6)/(x + 1)] / [(x² - 9)/(2x + 10)]
width = [(2x + 6)/(x + 1)]*[(2x + 10)/(x² - 9)]
width = 2(x + 3)*(2x + 10) / (x+1)*(x - 3)*(x + 3)
width = 2*(2x + 10) / (x + 1)*(x - 3)
width = 4x + 20 / x² -2x -3
Answer:
40200
Step-by-step explanation:
(8x7x6x5x4x3x2x1) - (5x4x3x2x1)
Or simply plug 8! - 5! into the calc.
