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Answer:
x = -2
Step-by-step explanation:
Line q is the horizontal line y = 6, so the perpendicular line will be vertical. In order for it to go through the point (-2, 3), the equation must be ...
x = -2
The 10th term of an arithmetic sequence is 10 and the sum of the first 10 terms is -35. Find the first term a1, and the common d
1 answer:
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Answer:
Step-by-step explanation:
Let x be equal to the number.
We can use what the question gives us to directly form a mathematical statement. When you multiply it by 3 (3x) and then subtract 10 (3x-10) you will get a number less than 5 (<5). Using this, our mathematical statement would look like this:
To find the range of possible values, we must solve the inequality and isolate x.
Add 10 to both sides
Divide both sides by 3
I hope this helps!
Answer:
We would have
where " l " is length, " w" is width and "h" is height.
Step-by-step explanation:
Step 1
Remember that
Surface area for a box with no top =
where " l " is length, " w" is width and "h" is height.
Step 2.
Remember as well that
Volume of the box =
Step 3
We can now use lagrange multipliers. Lets say,
and
By the lagrange multipliers method we know that
Step 4
Remember that
and
So basically you will have the system of equations
Now, remember that you can multiply the first eqation, by "l" the second equation by "w" and the third one by "h" and you would get
Then you would get
You can get rid of from these equations and you would get
And from those equations you would get
Now remember the original equation
If we plug in what we just got, we would have