Everyday Im Calculatin'

Distance & Midpoint

100

True or False ? Is the distance between point (3,7) & (4,-5) the square root of 145 ?

True

200

Find the distance between point (0,4) and point (8,-2)

D=10

300

What is the distance between point (-1,-1) and (-5,-2) and write answer in simplist radical form

2 square root of 13

400

What the midpoint of A:(-7,2) B:(-10,-14) ?

(-8.5,8)

500

Find point B , given that A:(7,-1) and the midpoint is C:(6,3)

(5,7)

Cirlces

100

give the equation of the circle in standard form whose center is at (6,4) and whose radius is 16.

(x-6)²+(y-4)²=4

200

write the standard equation for the circle: x²-25x+y²+4y=68

(x-6)²+(y+2)²=108

300

write the standard equation for the circle and state its center & radius: x²+y²-10y-40=0

x²+(y-5)²=25 center:(0,5) radius:8.1

400

give the equation of the circle whose center is (5,6) and goes through the point (-7,8)

(x-5)²+(y-6)²=√148

500

what is the standard equation for a circle not centered at the orgin?

x²+y²=1

Logs

100

Evaluate log36

1.56

200

A logarithm function is an inverse of a(n) what function ?

exponential

300

Simplify : 3e^5 * 4e^-2

12e^3

400

Rewrite in exponential growth log3(32)=5

2^5 =32

500

Find the inverse of the function Y=log8(x)

8^x=Y

Hype & Ellipse

100

Find the vertices of this hyperbola 25y^2-16x^2=400

V:(0,4)(0,-4)

200

What is the foci of this hyperbola ?25y^2-16x^2=400

Foci:(0,-6.4)(0,6.4)

300

What are the vertices of this ellipise ? x^2/16 +y^2/4 = 1

V:(4,0)(-4,0)

400

Write this hyperbola equation in standrard form 4x^2-y^2-8x-2y+1=0

(x+3)^2/1-(y-2)^2/4=1

500

Write the standard equation for the ellipse: 4x^2+y^2-8x-2y+1=0

(x-1)^2/1+(y-1)^2/4 =1

Matrices

100

simplify: [-5 6 -6] [-5 5 -4 -3 0 3]

[1 -6]

200

add: [4 5 [3 5 6 6] + 4 6]

[7 10 10 12]

300

subtract: [-9 2 8 [6 2 7 5 9 4] - -8 4 1]

[-15 0 1 13 5 3]

400

find the inverse: [4 3 3 2]

[-2 3 3 -4]

500

find the determinant: [2 -2 0 -1 5 1 3 4 5]

det(a)26