-2x + 5 = 1/3x - 22
-7/3x = -27
-7x = -81
x = 81/7 or 11.57
They will intersect when x = 81/7 or 11.57
So we are given two points that the line crosses, the origin and (9, -3), we can calculate the slope m of the line with these data, dividing the y segment by the x segment:
m = (-3 - 0)/(9 - 0) = -3/9
m = -1/3
then we can use the point slope line equation to find the line equation, lets use the point origin (0,0) to do so:
y - y1 = m(x - x1), where x1, y1 are the coordinates of a point that the line crosses:
y - 0 = (-1/3)(x - 0)
y = <span>(-1/3)x
so this is the equation of the line, slope -1/3 and y intercept 0</span>
Answer:
6+2
Step-by-step explanation:
Distribute the negative in.
<u>Negative</u><u> </u><u>Multiply</u><u> </u><u>Negative</u><u> </u><u>must</u><u> </u><u>equal</u><u> </u><u>Positive</u><u>.</u>
Answer:
A example: A customer brought 5 quarts of lemonade from Leah's stand. She also tipped Leah an additional $2. The customer finally paid a total of $27 including the tip. How much is each quart of lemonade worth? If x is what the lemonade is worth, write an equation to figure out the total.
In this problem, the x is what the lemonade is worth. So you should start with a 5x. The customer also tipped $2. So you should add 2 to the 5x. We also know the total, 27.
With the information we can form an equation.
5x + 2 = 27.
To solve, we can subtract 2 from both sides and finally dived by 5 on both sides as well. Your final answer should be x = 5.
Hopefully this is what you're looking for, sorry for being late!
First lets work out the length of the top side which joins the points (-1,7) and (-5,5):-
this = sqrt ( (7-5)^2 + (-1 - (-5)^2 )
= sqrt (4 + 16)
= sqrt 20
Now find length of the longer side which is distance between the points (-1,7) and (4, -3)
this is sqrt ( (-1 - 4)^2 + (7 - -3)^2)
= sqrt 125
Area of the rectangle = sqrt 20 * sqrt 125
= sqrt 2500
= 50 units^2 Answer
