Let
x---------> represents Martin's sister's age
y--------> represents Martin's age
we know that
--------> equation ![1](https://tex.z-dn.net/?f=%201%20)
--------> equation ![2](https://tex.z-dn.net/?f=%202%20)
Substitute equation
in equation ![2](https://tex.z-dn.net/?f=%202%20)
![x+[x-6]\leq 22\\2x\leq 22+6\\ x\leq 14](https://tex.z-dn.net/?f=%20x%2B%5Bx-6%5D%5Cleq%2022%5C%5C2x%5Cleq%2022%2B6%5C%5C%20x%5Cleq%2014)
therefore
<u>the answer is</u>
Part a) An inequality that can be used to represent this situation is
or ![x\leq 14](https://tex.z-dn.net/?f=%20x%5Cleq%2014%20)
Part b) the oldest age Martin's sister can be is
years old
Answer:
YOUR MOM IS A NI**A
Step-by-step explanation:
First i had s3X with ur mom then i mast_turbated with ur mom and BOOM
Answer:
A = 38°
Step-by-step explanation:
We are going to use cosine law to find angle A where
a = 4.7
b = 3.9 m
c = 2.9 m
![{c}^{2} = {a}^{2} + {b}^{2} - 2ab \cos( \alpha )](https://tex.z-dn.net/?f=%20%7Bc%7D%5E%7B2%7D%20%20%3D%20%20%7Ba%7D%5E%7B2%7D%20%20%2B%20%20%7Bb%7D%5E%7B2%7D%20%20-%202ab%20%5Ccos%28%20%20%5Calpha%20%29%20)
or
![\cos( \alpha ) = \frac{ {a}^{2} + {b}^{2} - {c}^{2} }{2ab}](https://tex.z-dn.net/?f=%20%5Ccos%28%20%5Calpha%20%20%29%20%20%3D%20%20%5Cfrac%7B%20%7Ba%7D%5E%7B2%7D%20%20%2B%20%20%7Bb%7D%5E%7B2%7D%20-%20%20%7Bc%7D%5E%7B2%7D%20%20%7D%7B2ab%7D%20)
cos A = [(4.7)^2 + (3.9)^2 - (2.9)^2]/2(4.7)(3.9)
= 28.89/36.66
= 0.788
A = arccos(0.788) = 38°
we know that
The equation in vertex form of a vertical parabola is of the form
where
is the vertex of the parabola
and
is the axis of symmetry
if
-----> open upward
if
-----> open downward
In this problem we have
![y=3(x+2)^{2}-3](https://tex.z-dn.net/?f=y%3D3%28x%2B2%29%5E%7B2%7D-3)
![a=3](https://tex.z-dn.net/?f=a%3D3)
This is a vertical parabola open upward
The vertex is a minimum
therefore
<u>the answer is</u>
the vertex is the point ![(-2,-3)](https://tex.z-dn.net/?f=%28-2%2C-3%29)
the axis of symmetry is ![x=-2](https://tex.z-dn.net/?f=x%3D-2)
see the attached figure to better understand the problem
Answer:
your answer is 12>2
Step-by-step explanation:
you basically do 3 x 4 = 12