When a rectangle is dilated, how do the perimeter and area of the rectangle change?
Answers
A transformation of a figure in which all of the dimensions of the figure are multiplied by the same scale factor is called a dilation.
Effect of Dilation on Perimeter
Whenever a figure is dilated by a scale factor, the perimeter of the figure changes according to the same scale factor.
Effect of Dilation on Area
When a figure is dilated by a scale factor of , the area of the figure is dilated by a scale factor of
Example-
Lets imagine a rectangle with length 10 cm and width 8 cm
So area becomes = 10*8 = 80 square cm
Lets suppose the rectangle is reduced by a scale factor of to produce a new rectangle.
So we will find the square of scale factor =
Now to find the area of the new rectangle(dilated one) we will multiply the area of the original rectangle by 1/4
=
Hence, area becomes 20 square cm.
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The cost of printing a catalog of the products that your company distributes is a flat rate of $52 plus $0.20 per copy. Let C represent the total cost of printing and x represent the number of copies. Write in symbolic form an equation that will relate C and x. Organize the data into a table of values. Begin with 500 copies, increase by increments of 500, and end with 2500 copies. a. C = 52.20x Number of Copies, x Total Cost, C 500 $52,200 1000 $78,300 1500 $104,400 2000 $130,500 2500 $156,600 c. C = 52 + 0.20x Number of Copies, x Total Cost, C 500 $252 1000 $352 1500 $452 2000 $552 2500 $652 b. C = 52.20x Number of Copies, x Total Cost, C 500 $26,100 1000 $52,200 1500 $78,300 2000 $104,400 2500 $130,500 d. C = 52 + 0.20x Number of Copies, x Total Cost, C 500 $152 1000 $252 1500 $352 2000 $452 2500 $552 Please select the best answer from the choices provided A B C D
Answers
a) 23
ECH=x+5, 23+5=28, ECH=28
b)28
HCD=3x-7, 3(23)-7, 69-7=62 HCD=62
c)62
GCF & ECH are vertical angles, GCF=28
d) 28
ECF=180, 180-28(GCF)=152, ECF=152
e) 152
DCF=90, 90+28(GCF)=118
f) 118
6x + 11 = 10x - 9
subtract 11 and 10 from both sides to get
-4x = -20 then divide that by negative 4 whicg will get you x=5 then plug in
6(5)+11=44
27. Answer 18
9x-4=158 since bisect means cut into 2 equal pieces so abd and dbc equal 79, add 4 to get 162 then divide by 9 to get x=18
29. Answer 28
2h+6+h=90
(____)
this part represents G
complementary angles are two angles that add up to 90, so subtract 6 from 90 and add the variables to get 3h=84 then divide by 3
H = 28 to check you can plug 28 into the equation
Answers
$80 she has already saved + $10 dollars she makes every week must at least be $150
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Answer:
let n be no of hours
7.5x n = c
Step-by-step explanation:
Answers
Equation of the vertical line: x=5
f(x)+g(x) = 3x^2-x-4
f(x)-g(x) = 4x^2-7x-4
Foil (2x-6)(5x+1) = 10x^2-28x-6
The roots (zeros) of the parabola are -2 and 3
X-coord for vertex = -1/2
Last problem: s^2 + 4s
2.y=5
Answers
∠E = x
∠F = 2x - 12
Angles in a triangle = 180°
90 + x + 2x - 12 = 180
78 + 3x = 180
-78 -78
3x = 102
3 and 3 cancels out
34 = x
∠E = 34°
∠F = 2x -12
= 2 × 34 - 12
= 56°
Answers
16 and 63 have no common factor except ' 1 '.
So the fraction can't be simplified.