Answer: ratio a:b = 3:5 p(X, 2) = p(9, 2)
<u>Step-by-step explanation:</u>
Plot points a = (12, 5) and b = (4, -3) and draw a line segment from a to b.
Notice that when y = 2, X = 9 so point p = (9, 2) <em>see graph</em>
The distance from a to p = 3√2
The distance from b to p = 5√2
So the ratio of a:b = 3√2:5√2 = 3:5 <em>when simplified</em>
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<em>To find the distance, use the distance formula OR pythagorean theorem.</em>
Answer:
Step-by-step explanation:
For this case we have the following inequality:
x> -9
The solution set of this inequality is given by:
(-9, inf)
Therefore, all the points within the given interval must belong to the graph of the inequality.
Note: see attached image.
Answer:
(-9, inf)
See attached image.
Radius of 1 button = r = 3x
Fabric required to cover 1 button = Area of the circle
= 
= 
= 
Total number of buttons = x
Fabric required to cover 1 button =
Fabric required to cover x buttons = 
Hence, fabric required to cover x buttons sq. units
Given that the number is x,
10% increase will give us a new number of:
110/100*x
=1.1x
10% decrease will give us a new number of:
90/100*1.1x
=0.99x
This implies the new number is less than the original number
