(1,2)
The solution is where the lines intersect so you can see they intersect at (1,2)
Figure out how far it is from one side to another. The top is 46 + 8 = 55 across.
the bottom is also 55.
Figure out how far it is from the bottom up. The left side is 38 + 10 = 48. The right is also 48.
Put all of the distances together: 55+55+48+48 = ?
I don't think giving you the exact answers would help, so here are the formulas:
For #1:
We're solving for a.
<u>The apothecary system</u><u> uses the minim as the basic unit of liquid measure and the grain as the basic unit of solid measure.</u>
What is apothecary measurement?
- The apothecary system was once a system of weights and measurements used for drug prescription and dispensing.
- A pound was divided into 12 ounces in the English version, which also divided an ounce into eight drams or drachms and a dram into three scruples, or 60 grains.
What are the units of the apothecary system?
The grain, scruple (20 grains), dram (3 scruples), ounce (8 drams), and pound—a ancient scale of weight used in the British Isles for measuring and distributing pharmacological goods (12 ounces).
Learn more about apothecary system
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<span> (x + 3) • (x - 12)
</span>
The first term is, <span> <span>x2</span> </span> its coefficient is <span> 1 </span>.
The middle term is, <span> -9x </span> its coefficient is <span> -9 </span>.
The last term, "the constant", is <span> -36 </span>
Step-1 : Multiply the coefficient of the first term by the constant <span> <span> 1</span> • -36 = -36</span>
Step-2 : Find two factors of -36 whose sum equals the coefficient of the middle term, which is <span> -9 </span>.
<span><span> -36 + 1 = -35</span><span> -18 + 2 = -16</span><span> -12 + 3 = -9 That's it</span></span>
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -12 and 3
<span>x2 - 12x</span> + 3x - 36
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-12)
Add up the last 2 terms, pulling out common factors :
3 • (x-12)
Step-5 : Add up the four terms of step 4 :
(x+3) • (x-12)
Which is the desired factorization
Final result :<span> (x + 3) • (x - 12)</span>
