The simplest radical form is ![2 \sqrt{17}](https://tex.z-dn.net/?f=2%20%5Csqrt%7B17%7D)
Explanation:
The expression is ![\sqrt{68}](https://tex.z-dn.net/?f=%5Csqrt%7B68%7D)
To determine the radical form, let us write the number 68 as a product of prime factors.
Thus, we have,
![\sqrt{68} =\sqrt{2\times2\times17}](https://tex.z-dn.net/?f=%5Csqrt%7B68%7D%20%3D%5Csqrt%7B2%5Ctimes2%5Ctimes17%7D)
Since, 2, 17 are prime factors and hence, no further factorization is possible.
Hence, it can be written as,
![\sqrt{68} =\sqrt{2^{2} \times17}](https://tex.z-dn.net/?f=%5Csqrt%7B68%7D%20%3D%5Csqrt%7B2%5E%7B2%7D%20%5Ctimes17%7D)
Applying the radical rule
, we have,
![\sqrt{68} =\sqrt{2^{2}} \sqrt{17}](https://tex.z-dn.net/?f=%5Csqrt%7B68%7D%20%3D%5Csqrt%7B2%5E%7B2%7D%7D%20%5Csqrt%7B17%7D)
Simplifying, we have,
![\sqrt{68} =2 \sqrt{17}](https://tex.z-dn.net/?f=%5Csqrt%7B68%7D%20%3D2%20%5Csqrt%7B17%7D)
Thus, the simplest radical form is ![2 \sqrt{17}](https://tex.z-dn.net/?f=2%20%5Csqrt%7B17%7D)
120 degrees is anwser because 180-60 is 120 you know the angles of triangle are 60 because it is an equateral triangle
The complementary angle of 12 degrees, is 78 degrees.
Complementary angles are angles that when added together have an end result of 90 degrees. So, to find the answer, simply subtract 12 from 90. Thus making the answer 78 degrees.
I hope this helps!
Answer:
Step-by-step explanation:
To find the width of the ink pad, we need to use division to find the answer.
<u>We know that:</u>
- Area of ink pad = 98 cm²
- Length of ink pad = 7 cm
- Width = A/L
<u>Solution:</u>
- Width = A/L
- => Width = 98/7
- => Width = 14 cm
Hence, the width of the ink pad is 14 cm.
We know that
Domain:
It is all possible values of x for which any function is defined
we are given function
![f(x)=-(x+3)(x-1)](https://tex.z-dn.net/?f=f%28x%29%3D-%28x%2B3%29%28x-1%29)
we can see that our function goes from left to right side
so, domain will be all real numbers
Range:
Range is all possible values of y
we can see that
largest y-value is 4
smallest y-value is -inf ...because it keeps going downward
so, range is
![(-\infty , 4]](https://tex.z-dn.net/?f=%28-%5Cinfty%20%2C%204%5D)
so, option-C...........Answer