(9.1)The Distance between the two points. Then find the midpoint of the line segment joining the two points. (-4,8),(8,-4)
d=sq root (-4,-8)^2+(8-(-4))^2
d=12 sq root 2
m=(-4+8/2,8-4/2)
m=(2,2)
(9.1)Find The Distance between the two points. Then find the midpoint of the line segment joining the two points. (6,-3),(10,-9)
d=Sq root(6-10)^2 +(-3-(-9))^2
d=2 Sq root 13
M=(6+10/2,-3-9/2)
m=(8,-6)
(12.1) what is the next 6 in the sequence
An=3/n
3, 3/2, 1, 3/4, 3/5, 1/2
(12.1) what is the next 6 in the sequence
f(N)=n/2n-1
1, 2/9, 3/5, 4/7, 5/9, 6/11
(13.1) There is a triangle and the length of base is sq root and the top of the triangles angle angle is a right angle. one of the other angle is 45, what is the length of the sides?
y=sq root 42/2
(9.2)Identify the focus, Directrix, and axis of symmetry of the parabola. x^2 =12y
The focus= (0,3)
The Directrix= y=-p=-3
The axis of symmetry is y axis since x is squared
(9.2)Identify the focus, Directrix, and axis of symmetry of the parabola. -24x=3y^2
The Focus= (-2,0)
Directrix=x=-p=2
The axis of symmetry is x-axis since y is squared
(12.2)Tell whether the sequence is arithmetic?
20,10,5,2.5,1.25.....
no
(12.3) Tell whether the Sequence is geometric?
216,36,6,1,1/6
Yes
(13.2)what is a 90 degree angle?


A B
A
(9.4)Identify the vertices, Co - vertices and foci of the ellipse. 9x^2 +y^2=144
Vertices= (0,4) (0, -4)
Co-Vertices= (3,0) (-3,0)
Foci= (0,2.64) (0,-2.64)
(9.3) Identify which is the right Answer for the radius of the circle. 8x^2=8y^2=192


B
(12.4) Whats the sum of the infinite geometric series if it exists
(Capital Sigma) 8(1/5) ^n-1
10
(12.5) what is the first 5 terms of the sequence
Ao=2,A1=4
Am=An-1-An-2
2,8,10,18,22
(13.5)ABC triangle <b is 47 degrees <c is 85 degrees
and length of b to c is 19in
<a=48 degree
length b=25.47
length c=18.7
(9.1)The town of Jackson is mapped on a coordinate grid with the origin being City Hall. McDonalds is located at the point (3,7) and Panda Express is located at (-3,7).Where is the Midpoint between the two Located?
(3+-3/2,7+7/2)=0,7
(9.1)Cascades Ice cream is located at the point (8,7) and Cascades Golf course is Located at (2,-1). How is it from Cascades Golf Course to Cascades Ice Cream?
A= Sq Root (8-2)^2+7-(-1)^2 = Sq Root 100 = 10
(12.1)If you save a penny and add an additional penny everyday how many days will it take to get to $500?
317 days
(12.2) What is the sum of all positive integers less than 300?
22500
(13.3)If a sprinkler sprays at 25 feet per seconds and at a 25 degree angle how far does the water travel?
47.9 ft
(9.7)The path of a basketball court is y=-x^2/484+x+3 and the ball goes in the bleachers 4y-x=-352 for x_>_400, How far vertically and horizontally did this ball go?
vertically= 26.741ft
Horizontally= 458.964ft
(9.7) A ship is lost and needs to be found with the equation, find the ships location.
x^2-y^2-8x+8
y^2-x^2-8y+8
(1,1)
(12.2)Lumen Christi wants to give out $1000 in a 5 day week what number do they need to start at to add $50 each day?
100
(12.3) On the first day of the year you deposit $2000 with %5 interest on your 30th deposit how much do you make?
$132,877
(13.4)an airplane is descending at 31,000 and it's 104 miles away, at what angle does it have to take to land right?
3.23 degrees