1 yard = 3 feet
Therefore Rachel ran 155*3 feet = 465 feet
465 > 327 therefore she is correct
Answer:
x=3 and x=-1
Step-by-step explanation:
If f(x)=g(x), then 2x+3=x^2:
x^2-2x-3=0
(x-3)(x+1)=0
x=3 and x=-1
Are equation for a rectangle is area = (width x length)
(18x - 12) = 6 x length
length = (18x - 12) / 6
length = 3x - 2
Answer:
Step-by-step explanation:
The unit circle has the parametric equation:
![x=\cos \theta](https://tex.z-dn.net/?f=x%3D%5Ccos%20%5Ctheta)
![y=\sin \theta](https://tex.z-dn.net/?f=y%3D%5Csin%20%5Ctheta)
where
in our case is the terminal side of the angle in standard position.
We substitute to get:
![x=\cos \frac{11\pi }{6}=\frac{\sqrt{3}}{2}](https://tex.z-dn.net/?f=x%3D%5Ccos%20%5Cfrac%7B11%5Cpi%20%7D%7B6%7D%3D%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B2%7D)
![y=\sin \frac{11\pi }{6}=-\frac{1}{2}](https://tex.z-dn.net/?f=y%3D%5Csin%20%5Cfrac%7B11%5Cpi%20%7D%7B6%7D%3D-%5Cfrac%7B1%7D%7B2%7D)
is the required point.
Answer:
Lori's age is 15 years old and Michelle's age is 5 years old now
Step-by-step explanation:
Let
x-----> Lori's age
y ----> Michelle's age
we know that
-----> equation A
----> equation B
substitute equation A in equation B and solve for y
Find the value of x
![x=3(5)=15](https://tex.z-dn.net/?f=x%3D3%285%29%3D15)
therefore
Lori's age is 15 years old and Michelle's age is 5 years old now