Graph the points on a rectangular coordinate system.
a.
(
1
2
,
5
)
b.
(
−
1
,
4
)
c.
(
2
,
−
1
)
d.
(
0
,
3
)
e.
(
0
,
0
)
f.
(
−
8
5
,
0
)
g.
(
−
2
,
−
5
)
h.
(
3
,
1
)
System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.
(a)
Expert Solution
To determine
To Graph: The point (12,5) on a rectangular coordinate system.
Explanation of Solution
Given Information:
The point, (12,5).
Graph:
Interpretation:
The ordered pair (12,5) indicates x=12andy=5.
Therefore, the point (12,5) is in Quadrant I.
(b)
Expert Solution
To determine
To Graph: The point (−1,4) on a rectangular coordinate system.
Explanation of Solution
Given Information:
The point, (−1,4).
Graph:
Interpretation:
The ordered pair (−1,4) indicates x=−1andy=4.
Therefore, the point (−1,4) is in Quadrant II.
(c)
Expert Solution
To determine
To Graph: The point (2,−1) on a rectangular coordinate system.
Explanation of Solution
Given Information:
The point, (2,−1).
Graph:
Interpretation:
The ordered pair (2,−1) indicates x=2andy=−1.
Therefore, the point (2,−1) is in Quadrant IV.
(d)
Expert Solution
To determine
To Graph: The point (0,3) on a rectangular coordinate system.
Explanation of Solution
Given Information:
The point, (0,3).
Graph:
Interpretation:
The ordered pair (0,3) indicates x=0andy=3.
Therefore, the point (0,3) indicates that x=0 which implies that the point is on y-axis.
(e)
Expert Solution
To determine
To Graph: The point (0,0) on a rectangular coordinate system.
Explanation of Solution
Given Information:
The point, (0,0).
Graph:
Interpretation:
The ordered pair (0,0) indicates x=0andy=0.
Therefore, the point (0,0) is at the origin.
(f)
Expert Solution
To determine
To Graph: The point (−85,0) on a rectangular coordinate system.
Explanation of Solution
Given Information:
The point, (−85,0).
Graph:
Interpretation:
The ordered pair (−85,0) indicates x=−85andy=0 or x=−1.6andy=0.
Therefore, the point (−85,0) indicates that y=0 which implies that the point is on x-axis.
(g)
Expert Solution
To determine
To Graph: The point (−2,−5) on a rectangular coordinate system.
Explanation of Solution
Given Information:
The point, (−2,−5).
Graph:
Interpretation:
The ordered pair (−2,−5) indicates x=2andy=−5.
Therefore, the point (−2,−5) is in Quadrant III.
(h)
Expert Solution
To determine
To Graph: The point (3,1) on a rectangular coordinate system.
Explanation of Solution
Given Information:
The point, (3,1).
Graph:
Interpretation:
The ordered pair (3,1) indicates x=3andy=1.
Therefore, the point (3,1) is in Quadrant I.
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Directions: Use the equation A = Pet to answer each question and be sure to show all your work.
1. If $5,000 is deposited in an account that receives 6.1% interest compounded continuously, how much money is in the
account after 6 years?
2. After how many years will an account have $12,000 if $6,000 is deposited, and the account receives 3.8% interest
compounded continuously?
3. Abigail wants to save $15,000 to buy a car in 7 years. If she deposits $10,000 into an account that receives 5.7% interest
compounded continuously, will she have enough money in 7 years?
4. Daniel deposits $8,000 into a continuously compounding interest account. After 18 years, there is $13,006.40 in the account.
What was the interest rate?
5. An account has $26,000 after 15 years. The account received 2.3% interest compounded continuously. How much was
deposited initially?
TRIANGLES
INDEPENDENT PRACTICE
ription Criangle write and cow
Using each picture or description of triangle write and solve an equation in ordering the
number of degrees in each angle
TRIANGLE
EQUATION & WORK
ANGLE MEASURES
A
B
-(7x-2)°
(4x)
(3x)°
(5x − 10)
C
(5x – 2)
(18x)
E
3.
G
4.
H
(16x)°
LL
2A=
2B=
ZE=
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