Answer:
- first rectangle: 18 by 9
- second rectangle 21 by 6
- x = 9
Step-by-step explanation:
The perimeter in each case is double the sum of the side dimensions. Since the perimeters are equal, the sum of side dimensions will be equal:
2x +x = (x +12) +(x -3)
3x = 2x +9 . . . . . . . . collect terms
x = 9 . . . . . . . . . . . . . subtract 2x
Given this value of x, the dimensions of the first rectangle are ...
{2x, x} = {2·9, 9} = {18, 9}
And the dimensions of the second rectangle are ...
{x+12, x-3} = {9+12, 9-3} = {21, 6}
Answer and Step-by-step explanation:
1) If you graph the lines, you will get the lines in the first attachment. You will see that the intersection point is (3, 5), which is the solution to that system.
2) First, let's convert both of these into slope-intercept form so that they're easier to graph.
x - 3y = 2
x = 3y + 2
3y = x - 2
y = 
AND
-3x + 9y = -6
9y = 3x - 6
y = 
We see that these two lines are exactly the same, which means that no matter what coordinate works for one, it will work for the other. In other words, there are infinitely many solutions.
And, if you graph these lines, you will get the graph in the second attachment, where they are the same line.
Hope this helps!
In general this property looks like
a*1 = a.
This is identity property of multiplication, or multiplicative identity property.
Answer: (D) (9,3)
9= x-axis
3= y-axis
HOPE THIS HELPS
Answer:
B) 4
Step-by-step explanation:
1. <em>It is either 3 or 4</em>, since those are only two angles comparing the lighthouse and the boat.
2. The angle of depression is noted below the horizontal and above the actual line, and out of 3 and 4, <em>4 is the only angle that is below its corresponding horizontal</em>.
So, the angle of depression from the lighthouse to the boat is 4.
