Answer:
Cartesian Coordinate System
• Also called
rectangular coordinate
system
• x- and y- axes intersect
at the origin
• Points are labeled (x,y)
Polar Coordinate System
– Origin and reference
line are noted
– Point is distance r from
the origin in the
direction of angle θ,
ccw from reference
line
– Points are labeled (r,θ)
Cartesian to Polar Coordinates
• r is the hypotenuse and θ
an angle
θ must be ccw from
positive x axis for these
equations to be vali
Step-by-step explanation:
Answer:
(a). and (b).
Step-by-step explanation:
Answer:
C.![y=6.75x+81.25](https://tex.z-dn.net/?f=y%3D6.75x%2B81.25)
Step-by-step explanation:
We are given that
In I year, number of participants=88
In V year, number of participants=115
We have to find the equation of the trend line that can be generated by using the data from years 1 and 5.
Rate of change of participants =![\frac{change\;in;participants}{change\;in\;time}=\frac{115-88}{5-1}](https://tex.z-dn.net/?f=%5Cfrac%7Bchange%5C%3Bin%3Bparticipants%7D%7Bchange%5C%3Bin%5C%3Btime%7D%3D%5Cfrac%7B115-88%7D%7B5-1%7D)
Rate of change of participants,m=6.75
Point-slope form:![y-y_1=m(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29)
Where m=Rate of change of participants per year
![x_1=5,y_1=115](https://tex.z-dn.net/?f=x_1%3D5%2Cy_1%3D115)
By using the formula
Substitute the values then we get
![y-115=6.75(x-5)](https://tex.z-dn.net/?f=y-115%3D6.75%28x-5%29)
![y-115=6.75x-33.75](https://tex.z-dn.net/?f=y-115%3D6.75x-33.75)
![y=6.75x-33.75+115](https://tex.z-dn.net/?f=y%3D6.75x-33.75%2B115)
![y=6.75x+81.25](https://tex.z-dn.net/?f=y%3D6.75x%2B81.25)
Hence, option C is true.
Answer:
Raul's errors are in the application of the distributive property(he applied it wrongly), in not respecting the precedence of operations, and in the multiplication of two terms with the same base(we add the exponent).
Step-by-step explanation:
Distributive property:
The distributive property of multiplication is:
a*(b + c) = a*b + a*c
Precedence of operations:
First multiplication, then addition.
Multiplication of terms with the same base:
The multiplication of h*h = h², which Raul missed.
The correct simplification is given by:
![-[3h + 7h(2-h)] = -[3h + 14h - 7h^2] = -[17h - 7h^2]=7h^2 - 17h](https://tex.z-dn.net/?f=-%5B3h%20%2B%207h%282-h%29%5D%20%3D%20-%5B3h%20%2B%2014h%20-%207h%5E2%5D%20%3D%20-%5B17h%20-%207h%5E2%5D%3D7h%5E2%20-%2017h)
Answer:
im srry what
Step-by-step explanation: