Linear Systems
Linear Sysems (Word Problem)
Trigonometry
Trigonometry - Continued
Geometry
100
Substitution:
5x + 2y = 18
2x + 3y = 16
x = 4.6
y = 2.3
100
Substitution
Tom pays a one-time registration charge and regular monthly fees to belong to a fitness club. After four months, he had paid $420. After nine months, he had paid $795. Determine the registration charge and the monthly fee.
Therefore, the monthly fee is $75, and registration charge is $120.
100
SOCAHTOA (angle) *round to the nearest degree*
a = 16cm b = 8cm c = 24cm
Solve for angle B
B = 27º
100
Cosine Law (side) *round 1 decimal place*
Determine the unknown side length.
b = 6.9
100
Midpoint
Determine the coordinates of the midpoint of the line segment with each pair of endpoints.
A(-1, 3) and B(5, 7)
= (1.5, 5)
200
Elimination:
2x - 3y = 13
5x - y = 13
x = 2
y = -3
200
Elimination
On weekends, as part of his exercise routine, Carl goes for a run, partly on paved trails and partly across rough terrain. He runs at 10 km/h on the trails, but his speed is reduced to 5 km/h on the rough terrain. One day, he ran 12 km in 1.5 h. How far did he run on the rough terrain?
Therefore, he ran 0.6km on rough terrain.
200
SOHCAHTOA (side) *round 1 decimal place*
Find the measure of each side indicated.
x = 9.1
200
7. More than 1 tool *round 1 decimal place and round to the nearest degree*
Solve this triangle
a = 9cm b = ? c = ?
B> = ? C> = 90° A> = 18°
c = 29.1
b = 27.7
B = 72°
200
Equation Of A Line (find the median)
A triangle has vertices at A(-3,-1), B(3,5) and C(7,-3). Determine an equation for the median from vertex A.
y = 0.25x + 2.25
300
Graphing:
x + y = 2
x = 2y + 2
POI = (2 , 0)
300
Graphing
Ellen drives 450km from her university in Kitchener- Waterloo to her home in Smith Falls. She travels along one highway to Kingston at 100mk/h and then along another highway to Smith Falls at 50km/h. The journey takes her 5 hours. What is the distance from Kingston to Smith Falls?
Therefore, the distance from Kingston to Smith Falls is 100km.
300
Sine Law (angle) *round to the nearest degree*
In △WXY , w = 12.0 cm, y = 10.5 cm, and ∠W = 60° .
Determine the measure of ∠Y.
Y = 49º
300
Length of a line segment
Calculate the shortest distance between the line and the point.
Round your answer to one decimal place.
y = 2x + 3, A(6, 5)
4.5 units
400
Sine Law (side) *round 1 decimal place*
In △SUN , n = 58 cm, ∠N = 38° , and ∠U = 72° .
Determine the length of side u.
u = 90
400
Circle equation
Use the given information to write an equation for a circle with center (0,0)
Radius of 11 units
x2 + y2 = 112
500
Cosine Law (angle) *round the the nearest degree*
Determine the measure of the indicated angle to the nearest degree
Z = 48º
500
Word problem
A forest fire is threatening two small towns, Mordon and Bently. On a map, the fire is located at (10, -11), the fire hall in Mordon is located at (26, 77), and the fire hall in Bently is located at (12, -88). Which fire hall is closer to the fire?
Therefore, the fire hall in Bently is closer to the fire than the fire hall in Mordon.