It will take 3 laps. 90*35=3150 1000 m = 1 km
43 inches in IXL
Please mark with crown!
Answer:
The difference of two numbers using identity 
is 4.
Step-by-step explanation:
Given: The sum of the numbers is 12 and the difference of the squares of the numbers is 48.
To find the difference of two numbers using identity
Let the two numbers be a and b, then
Given that the sum of the numbers is 12
that is a + b = 12 .........(1)
Also, given the difference of the squares of the numbers is 48.
that is 
..........(2)
Using given identity
We have 
Substitute the known values, we have,
Divide both side 12 , we have,
Thus, the difference of two numbers using identity is 4.
Answer:
6 + 9x = 5 is the equation for it.
Answer:
27/2
Step-by-step explanation:
Given
Vertices (0, 0), (3, 0), and (0, 3)
Since the base of the equilateral in the plane perpendicular to the x-axis goes from the x-axis to the line y = 3 - x.
So, the length of each side of the triangle is (3-x)
Calculating the area;
Area = ½bh
Where b = base = 3 - x
height is calculated as;
h² = (3-x)² + (½(3-x))² --- from Pythagoras
h² = 9 - 6x + x² + (3/2 - ½x)²
Let h² = 0
0 = 9 - 6x + x² + (9/4 - 6/4x + ¼x²)
0 = 9 + 9/4 - 6x - 6/4 + x² + ¼x²
0 = 45/4 - 30x/4 + 5x²/4
0. = 5x²/4 - 30x/4 + 45/4
0 = 5x² - 15x/4 - 15x/4 + 45/4
0 = 5x(x/4-¾) - 15(x/4 - ¾)
0 = (5x - 15)(x/4 - ¾)
5x = 15 or x/4 = 3/4
x = 3 or x = 3
So, h = 3
Area = ½bh
Area = ½ * (3-x) * 3
Area = ½(9-3x)
Volume= Integral of ½(9-3x) {3,0}
V = 9/2 - 3x/2 {3,0}
V = 9x/2 - 3x²/4 {3,0}
V = 9(3)/2 - 3(3)²/4
V = 27/2 - 27/4
V = 27/2
