Answer:
Fig A
Step-by-step explanation:
in fig A, we can see that the subset that represents "trees", lies inside the subset that "has leaves". Hence in figure A, we can say that "All trees have leaves" or "if it is a tree, it has leaves"
in fig B however, we see that "has leaves" is inside of "trees", this means that the area in-between "has leaves" and "tree" represents the subset that there are trees without leaves. This is in contradiction to the statement "if it is a tree, it has leaves", hence this is not the answer.
Area of triangle = 1/2 x base x height
area of triangle = 1/2 x 12 x 13
area of triangle = 78 square units
His name is in the name of the name in the name of the name in the name of the name
Answer:
Option (3) is correct.
The zero of given function
is x= -1 and x= -3.
Step-by-step explanation:
Consider the given function ![f(x)=x^2+4x+3](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E2%2B4x%2B3)
We need to find the zero of the above function. Put f(x)=0
then , ![f(x)=x^2+4x+3=0 \Rightarrow x^2+4x+3=0](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E2%2B4x%2B3%3D0%20%5CRightarrow%20x%5E2%2B4x%2B3%3D0)
The above function represents a quadratic equation
We can solve the quadratic equation by splitting middle term method,
![\Rightarrow x^2+4x+3=0](https://tex.z-dn.net/?f=%5CRightarrow%20x%5E2%2B4x%2B3%3D0)
We can write 4x as x+ 3x ,
![\Rightarrow x^2+x+3x+3=0](https://tex.z-dn.net/?f=%5CRightarrow%20x%5E2%2Bx%2B3x%2B3%3D0)
![\Rightarrow x(x+1)+3(x+1)=0](https://tex.z-dn.net/?f=%5CRightarrow%20x%28x%2B1%29%2B3%28x%2B1%29%3D0)
![\Rightarrow (x+1)(x+3)=0](https://tex.z-dn.net/?f=%5CRightarrow%20%28x%2B1%29%28x%2B3%29%3D0)
or ![\Rightarrow (x+3)=0](https://tex.z-dn.net/?f=%5CRightarrow%20%28x%2B3%29%3D0)
or ![\Rightarrow x=-3](https://tex.z-dn.net/?f=%5CRightarrow%20x%3D-3)
Thus, the zero of given function
is x= -1 and x= -3.
Answer:
![\frac{ - 13}{15}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20-%2013%7D%7B15%7D%20)
Step-by-step explanation:
![\frac{ - 11}{15} + \frac{ - 2}{15} = \frac{( - 11 - 2)}{15} = \frac{ - 13}{15}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20-%2011%7D%7B15%7D%20%20%2B%20%20%5Cfrac%7B%20-%202%7D%7B15%7D%20%20%3D%20%20%5Cfrac%7B%28%20-%2011%20-%202%29%7D%7B15%7D%20%20%3D%20%20%20%5Cfrac%7B%20-%2013%7D%7B15%7D%20)