points
midpoint
bisectors
distant formula
planes
100

what is the value of 7*8?

56

100

What is the midpoint of the line segment with endpoints (2,3) and (4,7)?

the midpoint is ((2,3)/2,(3+7)/2)=(3,5)

100

what is the midpoint of the line segment with endpoints (1,2) and (3,4)?

the midpoint is ((1 + 3)/2,(2+4)/2)=(2,3)

100

what is the distance between the points (1,2) and (4,6)?

using the formula distance: sqrt((4-1)^2 + (6-2)^2=sqrt (3^2 + 4^2) =sqrt (9 +16) =sqrt (25) =5

100

Sarah has 12 apples. she gives 4 apples to her friend and then buys 7 more apples. how many does she have?

she has 12-4+7=15 apples.

200

what is the square root of 81?

9

200

find the midpoint of the line segment with endpoints (-1,1) and (3,5).

the midpoint is ((-1+3)/2,(-1,+5)/2)=(1,2)

200

how do you find the slope of a line passing through the points (5,6) and (7,10)?

the slope is (10-60/(7-5)=4/2=2

200

how do you find the distance between the points (-3,5) and (3,1)?

sqrt (3-(-3)^2+(-1-5)^2

200

A car travels 60 miles in 1 hour how far will it travel in 3 hours? 

it will travel 60*3=180 

300

solve x in the equation 2x+3=11.

4

300

what is the midpoint of the line segment with endpoints (0,0) and (6,8)?

the midpoint is ((0 + 6)/2,(0 + 8)/2)=(3,4)

300

what is the equation of the line with slope 3 passing through the point (2,-1)?

using the point-slope form: y-(-1)=3(x-2) which simplifies to y + 1 = 3x-6, so y = 3x - 7

300

what what is the distance between (0,0) and (5,12)?

(5-0)^2 + (12 - 0)^2

300

john has 5 times as many marbles as Tom. if Tom has 8 marbles, how many marbles does John have? 

he has 5*8=40 marbles.

400

what is the area of a triangle with a base of 10 units and a height of 5 units?

25 square units (area = 1/2 * base * height = 1/2 * 10 * 5 = 25)

400

calculate the midpoint of the line segment with endpoints (-5,2) and (7,-4).

the midpoint is ((-5 + 7)/2,(2,-4)/2)=(1,-1)

400

what is the distance between the points (1,1) and (4,5)?

he distance is sqrt ((4-1)^2 + (5-1)^2 = sqrt (3^2+4^2) = sqrt (9 + 16)= sqrt (25) = 5

400

calculate the distance between the points (-2,-3) and (3,7).

sqrt (3-(-2)^2 + (7-(-3)^2

400

a rectangle has a length of 10 meters and width of 4 meters. what is the perimeter of the rectangle? 

it will be 2*(10+4)=2*14=28 meters.

500

what is the value of 15% of 200? 

30 ( 15/100 * 200 = 30)

500

determine the midpoint of the line segment with endpoints (9,-3) and (-3,11).

the midpoint is ((9 - 30/2,(-3 + 11)/2=(3,4)

500

how do you find the perpendicular bisector of the line segment with endpoints (0,0) and (4,4)?

The midpoint is ((0+4/2,(0+4)/2=(2,2)

500

what is the distance between the points (8,15) and (16,7)?

sqrt (16-8)^2+(7-15)^2

500

Lisa brought 3 packs of pencils. each pack contains 12 pencils. how many pencils does she have in total?

she has 3*12=36 pencils.