The length of the line on the blueprint of the wall will be 18 inches.
Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.
There is no effect of dilation on the angle.
An architect uses a scale of 3/4 inches to represent 1 foot on a blueprint for a building.
Then the scale factor of the blueprint will be
Scale factor = 3/4 inches per foot
If the east wall of the building is 24 feet long.
Then the length of the line on the blueprint of the wall will be
Length = 24 feet x scale factor
Length = 24 x (3/4)
Length = 6 x 3
Length = 18 inches
Thus, the length of the line on the blueprint of the wall will be 18 inches.
More about the dilation link is given below.
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Answer:
16 in.
Step-by-step explanation:
We have the ratio
How about let's make this easier. Easier is better, right? Let's get rid of the fraction 2/3. We will do that by multiplying 2/3 by 3 and 1 by 3 to get the equivalent ratio of
Now we need to know how many inches there would be if the number of feet is 24:
Cross multiply to get
3x = 48 so
x = 16 in.
3x − y = 8
4x − 5y = 2
13x − 8y = 4
4x − 5y = 2
10x + 3y = 15
4x − 5y = 2
13x − 8y = 26
4x − 5y = 2
7x + 6y = 10
Answer:
4x − 5y = 2
13x − 8y = 26
Step-by-step explanation:
The equivalent system must have the same solution as the given system of equations:
4x − 5y = 2
3x − y = 8
Here we have that:
y = 3x - 8
4x - 5y = 2
4x - 5(3x - 8) = 2
4x - 15x + 40 = 2
-11x = -38
Now, we have to verify which of these systems have this answer:
4x − 5y = 2
13x − 8y = 4
13x - 8y = 4
4x − 5y = 2
10x + 3y = 15
10x + 3y = 15
4x − 5y = 2
13x − 8y = 26
4x - 5y = 2
13x - 8y = 26
This is the correct answer
So this is the correct answer
4x − 5y = 2
7x + 6y = 10
Answer:
The answer is
(4x - 5y = 2) and (13x - 8y =26)
Given:
The expression is:
To find:
The value of the given expression.
Solution:
We have,
On simplification, we get
Therefore, the value of the given expression is 11025.
B. All real numbers
C. All real numbers between -6 and -1 & -1 and 2
D. All real numbers between -8 and 4
I think that it's D because the y-values go from 4 and end at -8
part B: find the expression that represents the combined total area of their villages.
Answer:
A:
B:
Step-by-step explanation:
We have been given that the area of Jocelyn's village is represented by the polynomial . The area of Lorlesha's village is represented by the polynomial , where w represents the width, in meters of their Town hall.
A: To find the expression that will represent the additional area of Jocelyn's village, we will subtract the total area of Lorlesha's village from the total area of Jocelyn's village.
Let us distribute negative sign to simplify our expression.
Upon combining like terms we will get,
Therefore, the expression that represents the additional area Jocelyn's village is .
B: To find the expression that represents the combined total area of their villages we will add areas of Jocelyn's and Larlesha's village.
Upon combining like terms we will get,
Therefore the expression represents the combined total area of their villages is .