Mathematics, 17.05.2021 19:10 liljett
Part 1: Linear Systems and Line Segments
Create and attach a 1 page ‘cheat’ sheet for the Linear Systems Unit.
Solve each system by graphing:
y = x+2, y = 4-1
2x – y + 9 = 0, x + y – 3 = 0
Solve by substitution:
x – 2y = 4, 2x – 3y = 7
Solve by elimination:
3x + 8y = -3, x + 8y = -5
4x – 5y = -22, 5x +6y = -3
Find the length of the line segment joining each pair of points. (Express to nearest 10th of a unit)
(2,5) and (5,7)
(-1, -3) and (-2, -4)
Find the midpoint of each line segment.
M (-2, 2), P (4, 8)
A (3, 3), J (-9, 3)
The Midpoint of AB is M(-2, 1). IF A(-7, 3), what are the coordinates of B?
Page Break
Part 2: Trigonometry
Create and attach a 1 page ‘cheat’ sheet for the Trigonometry Unit.
Solve each right triangle:
Shape E
Shape F 62⁰ D
150 cm
ShapeText BoxA
Shape15⁰
ShapeB C
Page Break
Solve each triangle:
Shape L
58⁰
56⁰
M 19 cm N
ShapeJ
58⁰
18 mm 15 mm
K L
Khalid wants to be sure his boat is safely anchored. He knows that the angle of depression that the boat makes with the horizontal when anchored should be less than 12⁰. The boat is 100 m above the seabed and the anchor cable is 440 m long. Is Khalid safely anchored? Explain.
Part 3: Polynomials
Create and attach a 1 page ‘cheat’ sheet for the Polynomial Unit.
Simplify
(4x - 3) + (5x+4)
(2x2 – 3x + 4) – (x2 + 4x - 1)
(-6x3 yz2 )(-2xy2 z)
Factor, if possible
7x + 42
X2 + 7x + 12
3x2 = 12x = 9
X2 + 9
5x2 – 20x + 20
Page Break
Part 4: Quadratics
Create and attach a 1 page ‘cheat’ sheet for the Quadratics Unit.
Graph the data and write the relation in the form of
y=a(x−h)2
y=ax−h2
X
Y
-6
32
-5
18
-4
8
-3
2
-2
0
-1
2
Graph the data and write the relation in the form of
y=a(x−h)2
y=ax−h2
X
Y
-1
-8
0
-4.5
1
-2
2
-0.5
3
0
4
-0.5
Graph the relation by plotting the vertex and 2 other points.
y=(x+1)2−1
y=x+12−1
y=−2(x−6)2+2
y=−2x−62+2
For each, write the relation in standard form:
y=ax2+bx+c
y=ax2+bx+c
a=2, b=5, y intercept = 11
y=5x2+bx+c
y=5x2+bx+c
, vertex at (1, 4)
a=−3
a=−3
, passes through (2, 11) and (0, -5)
Factor:
x2−17x+66
x2−17x+66
x2−3x−18
x2−3x−18
x2+13x
x2+13x
x2−9
x2−9
Find the zeros.
y=(x+3)(x−3)
y=x+3x−3
y=−10x2
y=−10x2
y=8(x−8)(x+0.5)
y=8(x−8)(x+0.5)
Answers: 3
Mathematics, 21.06.2019 16:00
Areal estate agent earns $32,000 a year plus $1,000 for each apartment he sells. write an equation that shows the relationship between the number of apartments abe sells,n, and the total amount he earns in a year,e. what is the total amount abe would earn from selling 10 apartments in one year
Answers: 3
Mathematics, 21.06.2019 20:00
Someone answer asap for ! max recorded the heights of 500 male humans. he found that the heights were normally distributed around a mean of 177 centimeters. which statements about max’s data must be true? a. the median of max’s data is 250 b. more than half of the data points max recorded were 177 centimeters. c. a data point chosen at random is as likely to be above the mean as it is to be below the mean. d. every height within three standard deviations of the mean is equally likely to be chosen if a data point is selected at random.
Answers: 1
Mathematics, 21.06.2019 23:50
4. (10.03 mc) the equation of line cd is y = −2x − 2. write an equation of a line parallel to line cd in slope-intercept form that contains point (4, 5). (4 points) y = −2x + 13 y = negative 1 over 2 x + 7 y = negative 1 over 2 x + 3 − 2x − 3
Answers: 2
Part 1: Linear Systems and Line Segments
Create and attach a 1 page ‘cheat’ sheet for the Linear Sy...
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