The ordered pair of the point I' is (-0.8, 2.4)
<h3>The complete question</h3>
Hexagon IJKLMN is shown on the coordinate plane below. If hexagon IJKLMN is dilated by a scale factor of two fifths from the origin to create hexagon I'J'K'L'M'N', what is the ordered pair of point I'?
<h3>How to evaluate the ordered pair of point I'?</h3>
From the complete question, the ordered pair of point I is given as:
I = (-2,6)
The scale factor (k) is given as:
k = 2/5
The image of the dilation is calculated using:
I' = I * k
This gives
I' = (-2,6) * 2/5
Evaluate
I' = (-0.8, 2.4)
Hence, the ordered pair of point I' is (-0.8, 2.4)
Read more about dilation at:
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Answer:
About 150 people.
Step-by-step explanation:
1.) 15/36 = x/360
2.) 150/360 = x/360
3.) 150/360 = 150/360
f(x)=3x^2-18x+10
a = 3, b = -18 and c = 10
The vertex of a parabola is in form a(x+d)^2 + e
d = b/2a = -18/2(3) = -18/6 = -3
e = c-b^2/4a = 10 - -18^2/4(3) = 10-27 = -17
Now the vertex form of the parabola becomes 3(x-3)^2 -17
Use the vertex form of the parabola in the vertex form of y = a(x-h)^2 +k
Where a = 3, h = -3 and k = -17
Now you have y = 3(x-(-3))^2 +(-17)
Simplify: y = 3(x+3)^2 -17
The vertex becomes the h and k values of (3,-17)
Answer:
Step-by-step explanation:
There are an estimated 29,819 fire departments in the US Of these, 2,785 ... provided EMS service and advanced life support, and 11,559 (39%) of departments ... The authors would also like to thank the members of the NFPA staff who ... Figure 2 Number of Volunteer Firefighters and Rate per 1,000 Population. 4.
i hope this fact helps some
