linear relations & equations
A relation between two variables that appears as a straight line when graphed.
Linear equation
volume of a prism=...
area of base x height
what is trigonometry
Study of angles and triangles
Find the GCF for the following term:
12a, 20a-24a
12:1,2,3,4,6,12
20:1,2,4,5,10,20
24:1,2,3,4,6,8,12,24
What's the answer of the equation when solved :
6(x-2)=2(x+8)
6x-12=2x+16
6x-2x=16+12
x=28
whats the volume of a sphere in cubic meters if it's radius is 14.6 meters
V=4π(14.6)^3 /3 = 39108.3
Pythagorean theorem
In a right triangle with side lenghts a b and c, where c is the hypotenuse: a^2+b^2=c^2
Factor the expression :
4a(x-5)+7a( x-5)
=(4a+7a)(x-5)
When a is isolated, the equation x=6(1-4a)+3 is written how ?
x= 6-24a+3
24a=20-x
a=20-x/24
A cone has a base diameter of 14 meters and a slant height of 6 meters.What's the volume of the cone to the nearest cubic meter.
r=14/2=7 m
h^2+7=14^2
h^2=14^2-7^2 h^2=147
√147=12.2m √π
V=1/3πr^2h
= 1/3π(7)^2(12.2)
=626.1m^3
sin28 is equal to what ?
0.4699
Expand: (x+6)(x+6)
=x^2-6x+6x-36
=x^2-36
Jennie wanted to buy 10 donuts at a donuts shop.Each donut cost $0.50 and she has $5.00 with her.How many donuts can Jennie buy
C=0.50(10)=5.00
n=5.00/0.50=10
Jennie can buy 10 donuts
The diameter of a FIFA soccer ball is 22cm.What is the surface area of the ball to the nearest tenth square of a centimeter.
r=d/2 =22/2
= 11cm
SA=4πr^2
= 4π(11)^2
= 1520.6cm^2
If a rigth trangle has a height of 110 cm and the angle from the bottom to the top of the triangle is 12 degrees.What's the minimum allowable horizontal distance between the start of the triangle?
tan12 =110/d
d=90/tan12 = 517.6cm
factor the binomial and then expand it :
49a^2 - 25b^2
√49a^2 =7a √25b^2=5b
(7a-5b) (7a+5b)
What would be the perimeter of a tv with a lenght of x+4 and a with of x-2?
P=2l+2w
= 2(x+4)+2(x-2)
= 2x+8+2x-4
P= 4x+4
What's the slant height and surface area of a cone with a height of 9m and a radius of 6m?
S^2=6^2+9^2
=117cm^2
s=√117=10.8
SA =π(6)(10.8)+π(6)^2
=316.6cm^2
Emma stands 55 meters away from a skyscraper.She looks towards the lop of the building at a 70 degree angle.How tall would the skyscraper be?
tan70°=x/55
x=55 tan70° = 151.111
What's 8x^2-18 factored full
8:1,2,4,8
18:1,2,3,6,9
GCF=2
8x^2/2 = 4x^2 18/2=9
2(4x^2-9)
√4x^2=2x √9=3
2(2x=3)(2x-3)