Does anyone know how to simplify this problem
1 answer:
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Answer:
Step-by-step explanation:
The isosceles triangle containing the side of <em>y</em><em> </em><em>+</em><em> </em><em>12</em><em> </em>is congruent to <em>3x² - </em><em>32</em><em> </em>[<em>base angles</em> are congruent], and if you look closer, they are also equivalent to all three sides of the equilateral triangle <em>adjacent</em> to the isosceles triangle. So, we will be working with alot gadgets here, if you know what I mean. Anyway, this is how we start out:
-5y - 5y
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-4 = -4y + 12
-12 - 12
____________
-16 = -4y
___ ___
-4 -4
4 = y [Plug this back into both equations to get the value of 16.]
Next, you will set <em>3x² - 32 </em>equal to 16:
+32 + 32
_________________
48 = 3x²
__ ___
3 3
16 = x²
4 = x [In this case, we want the NON-NEGATIVE root because inputting a -4 for <em>x</em><em> </em>will not give us identical answers.]
I am joyous to assist you anytime.
Hello.
Let's call the initial speed 'x'. When driving at that speed, Jeremy's father takes 20 minutes to arrive to the school. When driving 18 mph faster (x + 18), he gets there in 12 minutes. Therefore:
20 - x
12 - x + 18
As they're inversely proportional:
12 - x
20 - x + 18
That means that the initial speed is of 27mph. Since we have the time and the speed, we can find the distance:
Average Speed = Total Distance Travelled / Time Interval
20 minutes = 0.33h
Hope I helped and good luck.
Let's call the initial speed 'x'. When driving at that speed, Jeremy's father takes 20 minutes to arrive to the school. When driving 18 mph faster (x + 18), he gets there in 12 minutes. Therefore:
20 - x
12 - x + 18
As they're inversely proportional:
12 - x
20 - x + 18
That means that the initial speed is of 27mph. Since we have the time and the speed, we can find the distance:
Average Speed = Total Distance Travelled / Time Interval
20 minutes = 0.33h
Hope I helped and good luck.