AC
Same line segment just goes in the other direction.
The equation that matches the given situation is
. So, after two moves, Eric's elevation changed
meters above.
We know that in mathematics, subtraction means removing something from a group or a number of things. What is left in the group gets smaller when we subtract. The minuend is the first element we use. The subtrahend is the part that is being removed. The difference is the portion that remains after subtraction.
Assume that "negative" means climbing down and "positive" means climbing up. We must locate the elevation change in this area.
Given that Eric climbed straight down
meters. So we can write
.
Again Eric climbed straight up
meters. So, we can write
.
Then the change = ![-2\frac{1}{2}+6\frac{3}{4}](https://tex.z-dn.net/?f=-2%5Cfrac%7B1%7D%7B2%7D%2B6%5Cfrac%7B3%7D%7B4%7D)
=![-\frac{(2*2+1)}{2}+\frac{6*4+3}{4}](https://tex.z-dn.net/?f=-%5Cfrac%7B%282%2A2%2B1%29%7D%7B2%7D%2B%5Cfrac%7B6%2A4%2B3%7D%7B4%7D)
=![-\frac{5}{2} +\frac{27}{4}](https://tex.z-dn.net/?f=-%5Cfrac%7B5%7D%7B2%7D%20%2B%5Cfrac%7B27%7D%7B4%7D)
=![\frac{-(5*2)+27}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B-%285%2A2%29%2B27%7D%7B4%7D)
=![\frac{-10+27}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B-10%2B27%7D%7B4%7D)
=![\frac{17}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B17%7D%7B4%7D)
=![\frac{4*4+1}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B4%2A4%2B1%7D%7B4%7D)
=![4\frac{1}{4}](https://tex.z-dn.net/?f=4%5Cfrac%7B1%7D%7B4%7D)
Therefore, the equation that matches the given situation is
. So, after two moves, Eric's elevation changed
meters above.
Learn more about subtraction here -
brainly.com/question/24116578
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Answer: 2/3 pounds more
Step-by-step explanation:
This week = 2/3 pounds
Last week = 1 1/3 pounds
Difference = 1 1/3 - 2/3
= 4/3 - 2/3
= 4-2/3
= 2/3 pounds more he purchased last week.
Answer:
The slope of the line is m = −1
The y-intercept is (0,3)
The equation of the line in the slope-intercept form is y = 3 − x
or y = -x + 3
Step-by-step explanation:
The slope of a line passing through two points P=(x1,y1) and Q=(x2,y2) is given by m=y2−y1 / x2−x1.
We have that x1 = 0, y1 = 3, x2 = 5, and y2 = −2.
Plug the given values into the formula for a slope: m = −2−3 / 5−0 = −1
or -5/5 =-1
Now, the y-intercept is b = y1 − mx1 (or b = y2 − mx2, the result is the same).
b = y-int
y1 = 3
m = slope = -1
x1 = 0
b = 3 − (−1) ⋅ (0) = 3
Finally, the equation of the line can be written in the form y = b + mx:
y = 3 − x