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.
Answer:
(2, 0 )
Step-by-step explanation:
To find the x- intercept let y = 0 in the equation and solve for x, that is
8x - 
(0) = 16, that is
8x = 16 ( divide both sides by 8 )
x = 2 ← x- intercept ⇒ (2, 0 )
The value of t is (D) 55/9.
<h3>
What is an equation?</h3>
- An equation is a formula in mathematics that expresses the equality of two expressions by connecting them with the equals sign =.
- The word equation and its cognates in other languages may have subtly different meanings; for example, in French, an équation is defined as containing one or more variables, whereas in English, an equation is any well-formed formula consisting of two expressions linked by an equals sign.
To find the value of t:
Given -
- (t+5)/(t-5) = 10
- t+5 = 10(t-5)
- t+5 = 10t - 50
- 10t - t = 5 + 55
- 9t = 55
- t = 55/9
Therefore, the value of t is (D) 55/9.
Know more about equations here:
brainly.com/question/2972832
#SPJ4
30+70÷8÷5-1=
=30.75
hope this helps
Answer:
4.5 hour and 2 hour
Step-by-step explanation:
Given: The mean number of hours per day spent watching television, according to a national survey, is 3.5 hours, with a standard deviation of two hours.
To Find: If each time was increased by one hour, what would be the new mean and standard deviation.
Solution:
let the total numbers entries of hours in survey be = 
each entry in survey be = 
mean of survey is = 
=
standard deviation is = 
= 
if each entry in survey is increased by one hour then,
each new entry in survey is = 
the new mean is
= 
+
= + 1=
now,
standard deviation is 
putting values,
=
=2
new mean and standard deviation are and
