You could draw a string of 13 boxes.
Then separate these 13 boxes into groups of 3 as far as possible:
(4 boxes) (4 boxes) (4 boxes) (1 box left)
This illustrates the fact that 13/3 = 4 1/3.
Since we know that m and n are lines, we can put these points into equations (slope-intercept form would be easiest), and then set the equations equal to each other to see what their x coordinate is when they intersect.
For (6,1) and (2,-3):
slope = (y2 - y1) / (x2 - x1) = (-3 - 1) / (2 - 6) = -4 / -4 = 1
plugging this into slope-intercept form:
y = mx + b
1 = 1 x 6 + b
1 = 6 + b
b = -5
So our equation in slope intercept form is:
y = x -5
Taking the same steps for line n, we find that it's slope-intercept form is:
y = -3x + 9
If we set these two equations equal to each other, we can find the x-coordinate of the point of intersection:
-3x + 9 = x - 5
14 = 4x
x = 3.5
Plugging 3.5 back into to one of our original equations will give us the y coordinate of intersection:
y = x - 5
y = 3.5 - 5 = -1.5
Therefore, the point of intersection is (3.5, -1.5)
Answer:
The sum of the squares of two numbers whose difference of the squares of the numbers is 5 and the product of the numbers is 6 is <u>169</u>
Step-by-step explanation:
Given : the difference of the squares of the numbers is 5 and the product of the numbers is 6.
We have to find the sum of the squares of two numbers whose difference and product is given using given identity,
Since, given the difference of the squares of the numbers is 5 that is
And the product of the numbers is 6 that is
Using identity, we have,
Substitute, we have,
Simplify, we have,
Thus, the sum of the squares of two numbers whose difference of the squares of the numbers is 5 and the product of the numbers is 6 is 169
Y equals minus three fifths
Answer:
-4 1/2
-4.5
-4.5 / 4 = -1.125
Answer: -1.13, or -1 1/8
Step-by-step explanation: