Answer:
Step-by-step explanation:
Owen's goal is to drink 6060 ounces of water each day for three days. On the first day, he met \frac{2}{3} 3 2 of his daily goal, on the second day he met \frac{4}{5} 5 4 of his daily goal, and on the third day he only met \frac{1}{4} 4 1 of his daily goal. During the three-day period, how many ounces of water did he drink altogether? Use paper to show your work.
Answer:
The equation of the line is y -24 = -5(x + 6)
Step-by-step explanation:
To find the equation of this line, we first need to find the slope. To do that, we use the slope equation.
m(slope) = (y2 - y1)/(x2 - x1)
m = (-31 - 24)/(5 - -6)
m = (-31 - 24)/(5 + 6)
m = -55/11
m = -5
Now that we have the slope, we can use it and either point in point-slope form.
y - y1 = m(x - x1)
y - 24 = -5(x - -6)
y - 24 = -5(x + 6)
Answer:
Step-by-step explanation:
<u>Finding the line using the points:</u>
<u>The equation:</u>
<u>The slope is:</u>
- m = (-2 + 3)/(3-0) = 1/3
- y- intercept is -3
<u>So the line is:</u>
<u>As per the graph the line is dotted and the shaded area is above the line,. so the inequality is:</u>
Answer:
Rule is (x, y+k)
New point is (-3,9)
Step-by-step explanation:
A point translated vertically k units up means the x coordinate remains the same in the translation but the y coordinate is increased by k units
This can be represented mathematically as;
Let;s assume the point to be A with coordinates (x,y) then to get the image of the point under a vertical translation k units up you add k to the y coordinate value.
Given ;
where T is the translation
In the question
Given (-3,-6) and T is (0,5) the new coordinate will be
