Answer:
Step-by-step explanation:
As the two figure are the image and pre-image of a dilation.
Considering the left sided triangle is original and right sided triangle ( smaller one) is the image.
As one of the sides of the left triangle (original figure) is 4 in. And the corresponding length of the side on the right triangle (image of the figure) is 2 in.
It means the image of the side (2 in) is obtained when the side (4 in) of the original object is dilated by a scale factor of 1/2. In other words, the side of the image (2 in) is obtained multiplying the side (4 in) of original figure by 1/2. i.e. 4/2 = 2 in
Lets determine the missing side of the right side triangle by the same rule.
As the original object has one of the sides is 5 in and the corresponding side of the image has x in. As the original figure is dilated by a scale factor of 1/2. so the missing side of x will be: x = 5/2 = 2.5
So, the value of x will be 2.5
Similarly, the original object has one of the sides with length (y + 1 in). As the As the original figure is dilated by a scale factor of 1/2. As the corresponding length of the side of the image triangle is 3 in.
so
y + 1 = 2(3) ∵ 3 in (image side) is multiplied by 2
y + 1 = 6
y = 6 - 1
y = 5
So, the value of y = 5
Therefore,
Answer:
The terms listed are 8, 4, and 2 in that order. From what we can see, it is a geometric sequence whose next term is gotten by dividing the previous term by 2. The formula for finding the nth term of a geometric sequence is given as 
, where
a = first term which is 8
r = common ratio, 1/2 or 0.5
n = is the term we're looking for, 5
Putting all these together into one solid equation, we have
8 * 
=
8 * 
=
8 * 0.0625 = 0.5
Therefore, the 5th term of the sequence is 0.5. Similar example can be seen here brainly.com/question/9300199
Answer:
11
Step-by-step explanation:
12-1=11
Using the points (5, 1273) and (10, 2546), equation for the line is 5y = 1273x.
<h3>Define equation.</h3>
There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. Mathematical algebraic equations typically have one or more variables.
Given,
Coordinates (5, 1273) and (10,2546)
For slope, m
m = y₂ - y₁/ x₂ - x₁
m = 2546 - 1273/10 -5
m = 1273/5
Equation in y = mx form,
y = 1273/5 x
Cross multiplying,
5y = 1273x
To learn more about equation, visit:
brainly.com/question/10413253
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