What’s the volume of this container? HELP ASAP
2 answers:
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Answer:
y = 1
d = 4
Step-by-step explanation:
8y - 2d = 0 ---------------(I)
5y + 4d = 26 1/4
5y + 4d = 105/4 ------------------(II)
(I)*2 16y - 4d = 0
(II) <u>5y + 4d = 105/4</u> {add (I) &(II)}
21y = 105/4
Substitute y =1 in equation (I)
8*1 - 2d = 0
8 - 2d = 0
-2d = -8
d = -8/-2
d = 4
Hi there!
We are given two ordered pairs which are:
- (0,0)
- (5,4)
If you are curious how do I get these ordered pairs, they come from those two big circles or dots. x and y make relation and can be written as (x,y).
1. Find the slope
- Yes, our first step is to find the slope of a graph if you want to find an equation. You may be curious how to find that right? No worries! We have got a special formula for you to find the slope!
Since we have two given points, we can substitute them in the formula.
2. Form an equation.
- Since we have finally found, got or evaluated the slope. Next step is to find the y-intercept. Oh! Before we get to form an equation, do you know the slope-intercept form? We will be using that linear equation form since it is commonly used in the topic.
Where <u>m</u><u> </u><u>=</u><u> </u><u>s</u><u>l</u><u>o</u><u>p</u><u>e</u> and <u>b</u><u> </u><u>=</u><u> </u><u>y</u><u>-</u><u>i</u><u>n</u><u>t</u><u>e</u><u>r</u><u>c</u><u>e</u><u>p</u><u>t</u><u>.</u> We substitute m = 4/5.
Next thing to remember is that when the graph intersects an origin point, b-term or y-intercept would be 0. Therefore b = 0 since the graph intersects (0,0).
3. Answer
- Therefore the equation of the line is y = 4x/5.