Question 1:This is a 45-45-90 right triangle. If the leg length is
![x](https://tex.z-dn.net/?f=x)
, then the hypotenuse length will be
![x \sqrt{2}](https://tex.z-dn.net/?f=x%20%5Csqrt%7B2%7D%20)
.
The leg length of this 45-45-90 right triangle is 8. Multiply that with the square root of 2. You get
![8 \sqrt{2}](https://tex.z-dn.net/?f=8%20%5Csqrt%7B2%7D%20)
. Thus, the last choice is your answer.
Question 2:This triangle can be identified as a 30-60-90 right triangle.
Let's say the smallest leg as a length of
![x](https://tex.z-dn.net/?f=x)
.
Then, the longer leg will have a length of
![x \sqrt{3}](https://tex.z-dn.net/?f=x%20%5Csqrt%7B3%7D%20)
.
Also, the hypotenuse will have a length of
![2x](https://tex.z-dn.net/?f=2x)
This triangle follows this format, making it a 30-60-90 right triangle. Thus, the angles are 30, 60, and 90.
Hope this helps! :)
I think it is number 2, x^2-x+2
Given:
A set of composite numbers less than 12.
To find:
The set by listing and set builder methods.
Solution:
Composite number: A positive integer is called a composite number if it has at least one divisor other than 1 and itself.
Composite numbers less than 12 are 4, 6, 8, 9, 10.
By using the listing method , the given set can be expression as:
Set = {4, 6, 8, 9, 10}
The numbers 4, 6, 8, 9, 10 are greater than 1, less than 12 and non prime numbers.
By using set builder method, the given set can be expression as:
Set = ![\{x|x\neq P,1](https://tex.z-dn.net/?f=%5C%7Bx%7Cx%5Cneq%20P%2C1%3Cx%3C12%5C%7D)
Therefore, the list and set builder notation of the given set are {4, 6, 8, 9, 10} and
respectively.
Answer:
ab - ac + db - dc
Step-by-step explanation:
you distribute the variables inside the parenthesis
X^2-6x+7=0
-b +/- sqrt b^2-4ac all over 2a
a=1 b= -6 and c=7
6+/- sqrt 36-4×1×7 all over 2×1
6+/- sqrt 8 all over 2
6+/- 2sqrt2 all over 2
reduce
3+/- sqrrt2