A^2+b^2= 15^2
b=a-3
Use substitution
a^2+(a-3)^2= 225
a^2+a^2-6a+9=225
2a^2-6a=-216
2a^2-6a+216=0
2(a^2-3a+108)
2(a-12)(a+9)
(a-12)=0
a=12
(a+9)=0
a=-9
A is -9 or 12, but since an object can't have a negative length or width, a must be 12.
Plug this value of a in.
b=(12)-3
b=9
Final answer: Length=9, width=12
Answer:
2/105
Step-by-step explanation:
"r" is the greatest common divisor (GCD) of the two fractions. It can be found using Euclid's algorithm in the usual way.
(8/15) - (18/35) = 56/105 - 54/105 = 2/105 . . . . . this is (8/15) mod (18/35)
We can see that the next step, division of 54/105 by 2/105, will produce a remainder of 0, so the GCD is 2/105.
The greatest rational number r is 2/105.
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<em>Check</em>
The ratios are (8/15)/(2/105) = 28; (18/35)/(2/105) = 27. These whole numbers are relatively prime, so there is no larger r than the one we found.
Answer:
no babe
Step-by-step explanation:
Answer:
the 4th graph.
Step-by-step explanation:
by solving for Y in the first equation, we get the y-intercept of -1 and the second equation has a y-intercept of 1. 4th graph is the only graph with those 2 intercepts
Sixty eight thousand seven hundred and eight in word form
60000+8000+700+8 in expanded form
