A. If you're adding numbers with exponents with the same base, keep the same base and add the values of the exponents together.
3^2 * 3^4 = 3^(2+4) = 3^6
Answer:
B.9
Step-by-step explanation:
9*1=9
Answer:
x = 9
y = 9√3 = 15.6
Step-by-step explanation:
The triangle given is a right triangle, therefore:
✔️apply trigonometric ratio formula to find x:
Reference angle = 60°
Hypotenuse = 18
Adjacent = x
Thus:
Cos (60) = x/18
Multiply both sides by 18
18×cos(60) = x
9 = x
x = 9
✔️find y by applying pythagorean theorem:
y² = 18² - x² (pythagorean theorem)
y² = 18² - 9² (substitution)
y² = 243
y = √243
y = √(81*3)
y = 9√3 = 15.6
Step-by-step explanation:
Okay, so...
The Median of a trapezoid is directly in the middle. For some weird mathimatical reason you won't ever need to know unless it's on an exam or you become a math major, its midsegment is the average of the top length and the bottom length.
In other words,
EF = ( BC + AD ) / 2
So for part 1, we can use that equation to find x.

![4x-18=[(x+12)+(3x-4)]/2](https://tex.z-dn.net/?f=4x-18%3D%5B%28x%2B12%29%2B%283x-4%29%5D%2F2)
- Simplify within parentheses.
![4x-18=[x+12+3x-4]/2](https://tex.z-dn.net/?f=4x-18%3D%5Bx%2B12%2B3x-4%5D%2F2)
![4x-18=[x+3x+12-4]/2](https://tex.z-dn.net/?f=4x-18%3D%5Bx%2B3x%2B12-4%5D%2F2)
![4x-18=[4x+8]/2](https://tex.z-dn.net/?f=4x-18%3D%5B4x%2B8%5D%2F2)




Part 2 is a lot easier now. All we have to do is plug in 11 for x.



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Answer:
Part I: x = 11
Part II:
34 legs and 12 heads
Chicken has 2 legs and Pig has 4 legs, both got one head
7 chicken heads, 7 x 2= 14 chicken legs
5 pig heads, 5 x 4= 20 pig legs
7 chicken heads + 5 pig heads = 12 heads
14 chicken legs + 20 pig legs = 34 legs
Answer: He saw 7 chickens and 5 pigs