That is in standard form.
Length= How high
Layer 1 length is 1 block high and the length is 2.
Okay, here we go.
With simpler decimals, this is a bit easier so I'll explain that first to make sure you get the basic idea.
Let's say you had a decimal for .75 and wanted to create the fraction mathematically. To do this you would:
First divide the decimal by 1 so .75/1
Then multiply be a multiple of 10 that eliminates the decimal so in this case 100
so you now have 75/100
When you simplify that fraction by dividing by 25, you of course get 3/4
Now on to your more complicated question:
Let's assign a variable to your repeating decimal so:
x=.1515151515
Now, let's identify the repeating digits, here they are .15
Move one set of the repeating digits in front of the decimal so now we get:
100x=15.1515151515
Now you have two equations, they are:
x=.1515151515
100x=15.1515151515
Combine the equations into one equation:
100x-x=15.1515151515-.1515151515
99x=15
15/99
simplify and you get 5/33
1. The midpoint of the segment joining points (a, b) and ( j, k) is ((j+a)/2,(k+b)/2)
2. Let the coordinate of H be (a, b)
T(0, 4) = ((a + 0)/2, (b + 2)/2)
(a + 0)/2 = 0 => a + 0 = 0 => a = 0
(b + 2)/2 = 4 => b + 2 = (2 x 4) = 8 => b = 8 - 2 = 6
Therefore, the cordinate of H is (0, 6)
3. Point (-4, 3) lies in Quadrant II
4. Point (6, 0) lies on the x-axis
5. Any line with no slope is parallel to the y-axis
7. a is the value of the x-coordinate.
5a + 3 = 8
5a = 8 - 3 = 5
a = 5/5 = 1
a = 1
8. Equation of a circle is given by (x - a)^2 + (y - b)^2 = r^2; where (a, b) is the center and r is the radius.
For the given circle (x + 5)^2 + (y - 7)^2 = 36 => (x - (-5))^2 + (y - 7)^2 = 6^2 => a = -5 and b = 7.
Therefore, its center point is (-5, 7)
9. Equation of a circle is given by (x - a)^2 + (y - b)^2 = r^2; where (a, b) is the center and r is the radius.
For the given circle (x + 5)^2 + (y - 7)^2 = 36 => (x - (-5))^2 + (y - 7)^2 = 6^2 => r = 6.
Therefore, its radius is 6
10. If the equation of a circle is (x - 2)^2 + (y - 6)^2 = 4, the center is point (2, 6).
True
Answer:
domain = ( 3, 11, 121, 34, 23)
range = ( 21, 34, 1, 23)
