Answer:
96
Step-by-step explanation:
Multiply both sides of the equation by 8
move the constant to the right
calculate
divide both sides
solution
Answer:
(5,3)
Step-by-step explanation:
you would move 3 to the right and 2 down
Answer:
5in x 10in
Step-by-step explanation:
Solution:
1. You have to assume that the ring will land on the board and as a result, just focus on one rectangle of the board since they are all the same size.
2. For the ring to land entirely inside the rectangle, the center of the ring needs to be 1.5 inches inside the border (radius is 1.5 inches), so the "winning rectangle" will have dimensions:
L = (x - 2(1.5)) = x - 3
w = (2x - 2(1.5)) = 2x-3.
3. Now, we will set up and solve our geometric probability equation. The winning rectangle's area of (x-3)*(2x-3) divided by the total rectangle's area of x*(2x) = 28%
(2x-3)*(x-3)/(2x^2) = .28
2x^2 - 9x + 9 = .56x^2
1.44x^2 - 9x + 9 = 0
4 . Now you can plug that in the quadratic formula and get the solutions x = 1.25 or 5. However, it cannot by 1.25 because that is too small of a dimension for the the circle with diameter of 3 to fit in, the answers has to be 5.
5. As a result, the dimensions of the rectangles are 5in x 10in.
The equation of the line that cuts through (0,5) and (1,2) is y = -3x + 5
<h3><u>Solution:</u></h3>
Given that we have to find equation of the line that cuts through (0,5) and (1,2)
The equation of line passing through points 
and 
is given as:
Where "m" is the slope of line
Let us first find slope of line
<em><u>The slope of line is given as:</u></em>
<em><u>Thus the required equation of line is:</u></em>
Thus the equation of line is found
Answer:
Step-by-step explanation:
The area of a rectangle is
28 ft2
, and the length of the rectangle is
5 ft
less than three times the width. Find the dimensions of the rectangle.
