Answer:
10
Step-by-step explanation:
Since m||n the sum of given angles is equal to 180 (they are supplementary)
6x + 10 + 10x + 10 = 180 add like terms
16x + 20 = 180 subtract 20 from from both sides
16x = 160 divide both sides by 16
x = 10
Step-by-step explanation: First you convert the equation into standard form, which is y=mx+b . Then graph it. When it is in the form y=mx+b it is easier to graph. Then you can see the intercepts on the graph and come up with your answer.
Hope this helps!
Answer:
781250
Step-by-step explanation:
Let y is the length of the farm field
Let x is the width of the farm field
Given that, no fencing is necessary along the rock wall, so we can find the perimeter of the farm is:
2x + y = 2500 feet
<=> y = 2500 -2x
The are of the farm has the following formula:
A = x*y
<=> A = x(2500 - 2x)
<=> A = 2500x -2
To have the maximum area of field in square feet, we need to use differentials to estimate:
= 2500 - 4x
Set = 0, we have:
2500 - 4x = 0
<=> x = 625 feet.
=> y = 2500 - 2*625 = 1250 feet
So the maximum area of field is:
A = x*y = 625*1250 = 781250
Just comparing your (x, y) points to the values on the table, it looks like b) would be the quick answer. Since it states under the table to use average values within each range.
So for x=62 (the weight), we have y=122 (the iron count) which would be the average of the range between 115 and 129.
Similiarly, x=70 corresponds to y=146, which is the average of 139 and 153.
You could take the average values of your highest and lowest iron count ranges compare them to the max-min weight to get your slope. Looks like it would be (155-112)/(73-58)= 43/15= 2.8666 repeating. That would make sense with the slope in the equation listed in b) as well.
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Hope you could understand.
If you have any query, feel free to ask.