∵ ΔSRQ is a right triangle
and RT⊥SQ
∴ x² = ST * TQ
∴ x² = 9 *16 = 144
∴ x = √144 = 12
Answer:
4^8
Step-by-step explanation:
Because both expressions have the same base, we can add the exponents to simplify the expression:
![4^5*4^3 = 4^{5+3} = 4^8](https://tex.z-dn.net/?f=4%5E5%2A4%5E3%20%3D%204%5E%7B5%2B3%7D%20%3D%204%5E8)
Answer:
300,000
40,000
7,000
300
90
2
Step-by-step explanation:
When you expand a number to show the value of each digit, you're writing that number in expanded form. Writing numbers in expanded form just means that you're showing the value of each digit in the number. With the exception of zeroes, the larger the number, the longer its expanded form will be.
Answer:
![(0, \infty)](https://tex.z-dn.net/?f=%280%2C%20%5Cinfty%29)
Step-by-step explanation:
By definition all the exponential functions of the form
![f (x) = a (b) ^ x](https://tex.z-dn.net/?f=f%20%28x%29%20%3D%20a%20%28b%29%20%5E%20x)
Where a is the main coefficient and b is the base they have range ![(0, \infty)](https://tex.z-dn.net/?f=%280%2C%20%5Cinfty%29)
Whenever
and b> 0.
In this case the function is:
![f (x) = 11(\frac{1}{3}) ^ x](https://tex.z-dn.net/?f=f%20%28x%29%20%3D%2011%28%5Cfrac%7B1%7D%7B3%7D%29%20%5E%20x)
Note that for this function
and ![b =\frac{1}{3}>0](https://tex.z-dn.net/?f=b%20%3D%5Cfrac%7B1%7D%7B3%7D%3E0)
Therefor the range is: ![(0, \infty)](https://tex.z-dn.net/?f=%280%2C%20%5Cinfty%29)
Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value(s) for the variable(s).