6 Rectangle QRST has coordinates Q (-1, 1), R (3, 1), S (3,-2), (Inv. 5) T(-1,-2). a. Sketch the rectangle and its image Q' R' S' T' after a dilation by a scale factor of 3. b. The area of rectangle Q' R' S' T' is how many times the area of rectangle QRST?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 35E
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Help with question 6.
6 Rectangle QRST has coordinates Q (-1, 1), R (3, 1), S (3.-2),
(Inv. 5)
T(-1, -2).
a. Sketch the rectangle and its image Q' R' S' T' after a dilation by a
scale factor of 3.
b. The area of rectangle Q' R' S' T' is how many times the area of
rectangle QRST?
*7. The lamp shade is in the shape of part of
(65, 71)
a cone. Todd finds the lower diameter is
15 in. and the upper diameter is 6 in. The
slant height of the lamp shade is 12 in. Todd
wonders where the apex of the cone would
12 + x/
be, so he sketches similar triangles (cross
sections) and writes the following proportion
and cross multiplies.
12
6.
15
Diameter
:
15
12 + x
Slant height:
Cross multiplied: 15x
72 + 6x
Solve the equation to find x. Then find the slant height from the bottom of the
lamp shade to where the apex of the cone would be.
*8. There are three blue marbles and 7 green marbles in a bag. If a
(68)
marble is drawn and replaced and a second marble is drawn, what
is the probability of drawing a green marble both times? Express the
probability as a fraction and as a decimal.
9. Sue asked her friends how many cups of water they drink daily. They
(53)
answered: 9, 6, 5, 9, 6, 7, 7, 11, 12.
a. Find the mean, median, mode, and range of the data.
Transcribed Image Text:6 Rectangle QRST has coordinates Q (-1, 1), R (3, 1), S (3.-2), (Inv. 5) T(-1, -2). a. Sketch the rectangle and its image Q' R' S' T' after a dilation by a scale factor of 3. b. The area of rectangle Q' R' S' T' is how many times the area of rectangle QRST? *7. The lamp shade is in the shape of part of (65, 71) a cone. Todd finds the lower diameter is 15 in. and the upper diameter is 6 in. The slant height of the lamp shade is 12 in. Todd wonders where the apex of the cone would 12 + x/ be, so he sketches similar triangles (cross sections) and writes the following proportion and cross multiplies. 12 6. 15 Diameter : 15 12 + x Slant height: Cross multiplied: 15x 72 + 6x Solve the equation to find x. Then find the slant height from the bottom of the lamp shade to where the apex of the cone would be. *8. There are three blue marbles and 7 green marbles in a bag. If a (68) marble is drawn and replaced and a second marble is drawn, what is the probability of drawing a green marble both times? Express the probability as a fraction and as a decimal. 9. Sue asked her friends how many cups of water they drink daily. They (53) answered: 9, 6, 5, 9, 6, 7, 7, 11, 12. a. Find the mean, median, mode, and range of the data.
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ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage