Mathematics, 17.05.2021 19:10 liljett
Part 1: Linear Systems and Line Segments
Create and attach a 1 page βcheatβ sheet for the Linear Systems Unit.
Solve each system by graphing:
y = x+2, y = 4-1
2x β y + 9 = 0, x + y β 3 = 0
Solve by substitution:
x β 2y = 4, 2x β 3y = 7
Solve by elimination:
3x + 8y = -3, x + 8y = -5
4x β 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?
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Part 2: Trigonometry
Create and attach a 1 page βcheatβ sheet for the Trigonometry Unit.
Solve each right triangle:
Shape E
Shape F 62β° D
150 cm
ShapeText BoxA
Shape15β°
ShapeB C
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Solve each triangle:
Shape L
58β°
56β°
M 19 cm N
ShapeJ
58β°
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 12β°. 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 βcheatβ sheet for the Polynomial Unit.
Simplify
(4x - 3) + (5x+4)
(2x2 β 3x + 4) β (x2 + 4x - 1)
(-6x3 yz2 )(-2xy2 z)
Factor, if possible
7x + 42
X2 + 7x + 12
3x2 = 12x = 9
X2 + 9
5x2 β 20x + 20
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Part 4: Quadratics
Create and attach a 1 page βcheatβ sheet for the Quadratics Unit.
Graph the data and write the relation in the form of
y=a(xβh)2
y=axβh2
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(xβh)2
y=axβh2
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)2β1
y=x+12β1
y=β2(xβ6)2+2
y=β2xβ62+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=β3
a=β3
, passes through (2, 11) and (0, -5)
Factor:
x2β17x+66
x2β17x+66
x2β3xβ18
x2β3xβ18
x2+13x
x2+13x
x2β9
x2β9
Find the zeros.
y=(x+3)(xβ3)
y=x+3xβ3
y=β10x2
y=β10x2
y=8(xβ8)(x+0.5)
y=8(xβ8)(x+0.5)
Answers: 3
Mathematics, 21.06.2019 21:30
One astronomical unit (1 au) is about 1.496 alt tag missing. kilometers. if you wrote this number of kilometers in regular decimal notation (for example, 528 and 3,459 are written in regular decimal notation), how many zeros would your number have?
Answers: 1
Mathematics, 21.06.2019 22:00
Asystem of linear equations with more equations than unknowns is sometimes called an overdetermined system. can such a system be consistent? illustrate your answer with a specific system of three equations in two unknowns. choose the correct answer below. a. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 6 b. no, overdetermined systems cannot be consistent because there are fewer free variables than equations. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 12 c. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 8 d. no, overdetermined systems cannot be consistent because there are no free variables. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 24
Answers: 3
Mathematics, 21.06.2019 22:30
We have 339 ounces of jam to be divided up equally for 12 people how muny ounces will each person get
Answers: 1
Part 1: Linear Systems and Line Segments
Create and attach a 1 page βcheatβ sheet for the Linear Sy...
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