Answer:
Congruent sides or segments have the exact same length. Congruent angles have the exact same measure. For any set of congruent geometric figures, corresponding sides, angles, faces, etc. are congruent.
Step-by-step explanation:
comment how it helps
![f(x)= \frac{3x+2}{2x-10}](https://tex.z-dn.net/?f=f%28x%29%3D%20%5Cfrac%7B3x%2B2%7D%7B2x-10%7D)
Since we can't have a 0 in the denominator,
![2x-10 \neq 0\\2x \neq 10\\x \neq 5](https://tex.z-dn.net/?f=2x-10%20%5Cneq%200%5C%5C2x%20%5Cneq%2010%5C%5Cx%20%5Cneq%205)
Also, in the graph ...you can see that the function approaches x=5 but never actually reaches it.
∴The value of x that don't lie in the domain of the function is
5
Answer:
θ= 60° or 120°Step-by-step explanation: if im wrong im srry
Answer:
C
Step-by-step explanation:
We have the equation:
![4x^2+5x=-10](https://tex.z-dn.net/?f=4x%5E2%2B5x%3D-10)
Add 10 to both sides to isolate the equation.
![4x^2+5x+10=0](https://tex.z-dn.net/?f=4x%5E2%2B5x%2B10%3D0)
This is not factorable*, so we can use the quadratic formula:
![\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x%3D%5Cfrac%7B-b%5Cpm%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D)
In this case, <em>a</em> = 4, <em>b</em> = 5, and <em>c</em> = 10.
Substitute:
![\displaystyle x=\frac{-(5)\pm\sqrt{(5)^2-4(4)(10)}}{2(4)}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x%3D%5Cfrac%7B-%285%29%5Cpm%5Csqrt%7B%285%29%5E2-4%284%29%2810%29%7D%7D%7B2%284%29%7D)
Simplify:
![\displaystyle x=\frac{-5\pm\sqrt{-135}}{8}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x%3D%5Cfrac%7B-5%5Cpm%5Csqrt%7B-135%7D%7D%7B8%7D)
Since we cannot take the root of a negative, we have no real solutions.
Our answer is C.
*To factor something in the form of:
![ax^2+bx+c=0](https://tex.z-dn.net/?f=ax%5E2%2Bbx%2Bc%3D0)
We want two numbers <em>p</em> and <em>q</em> such that <em>pq</em> = <em>ac</em> and <em>p</em> + <em>q</em> = <em>b</em>.
Since <em>ac</em> = 4(10) = 40. We need to find two whole numbers that multiply to 40 and add to 5.
No such numbers exist, so the equation is not factorable.