Answer:

Step-by-step explanation:
Given


Required
Determine the image P'
P' is calculated by multiplying P and k.
i.e.

This gives:



<em>Hence, the image P' after dilating P is (-10,-8)</em>
Answer:

Step-by-step explanation:
The perimeter is two times width plus two times length:

There is no way to simplify further.
Answer:
Step-by-step explanation:
c = $6.25 + 0.15w
$6.25 represents the fixed cost. it is the cost that does not vary with the number of words
15 cents is the variable cost. it is the cost that varies with the number of words.
to write the equation convert 15 cents to dollars by dividing by 100.
All 3 angles of a triangle must equal to 180. You can simply set up an equation to solve this and set it equal to 180.
Angle 1 - 50 + x
Angle 2 - x
Angle 3 - 2x -10
50+x+x+2x-10=180
4x+40=180
4x=140
x=35
Angle 1 = 50+35= 85
Angle 2 = 35
Angle 3 = 2(35) - 10 = 60
60+35+85=180
If a plot of land in the shape of a horizontal ellipse has a pole at each focus. the foci are 16 feet from the center. if the plot of land is 40 feet across one axis, how long is it across the other axis is: c. 24 feet.
<h3>
Length across the other axis</h3>
Using Pythagoreans theorem formula
a²=b²+c²
Where:
c=16 feet
a=40/2=20 feet
Hence:
20²=b²+16²
b²=20²-16²
b²=400-256
b²=√144
b=12
2b=12×2
2b=24 feet
Therefore if the plot of land is 40 feet across one axis, how long is it across the other axis is: c. 24 feet.
The complete question is are:
A plot of land in the shape of a horizontal ellipse has a pole at each focus. The foci are 16 feet from the center. If the plot of land is 40 feet across one axis, how long is it across the other axis?
a. 34 feet
b. 46 feet
c. 24 feet
d. 30 feet
Learn more about Length across the other axis here:
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