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maria5633
12.07.2021 •
Mathematics
Garrett found the slope of the values in the table:
A 2-column table with 3 rows. Column 1 is labeled Years: x with entries 4, 8, 12. Column 2 is labeled Hourly rate: y with entries 12.00, 13.00, 14.00.
1. slope = StartFraction 12 minus 8 Over 14.00 minus 13.00 EndFraction. 2. slope = StartFraction 4 Over 1.00 EndFraction. 3. slope = 4.
Is Garrett’s slope correct? If not, identify his error?
Yes. Garrett found the slope correctly.
No. He should have put the x values in the denominator and the y values in the numerator.
No. He should have gotten a negative answer for slope because the values are decreasing.
No. He should have gotten the answer StartFraction 1 Over 25 EndFraction.
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Ответ:
Given: Angel BAC=BOA=90 degrees
BO= 9
OC=7
AO=y
To find: value of y
Solution: In triangle BAC and triangle BOA ,we have,
Angle BAC=angel AOB
Angle B= Angle B (Angle B common in both triangles).
=>triangle BAC similar to triangle BOA ( A.A criterion rule )
=>BA/BO=AC/OA=BC/BA
=>BA/BO=BC/BA
=>(BA)^2=BC*BO
=>(BA)^2=16*9
=>(BA)^2=144
=>BA= root of 144
=>BA=12
So by Pythagoras theorem;
(AB)^2=(BO)^2+(AO)^2
(12)^2=(9)^2+(y)^2
144=81+y^2
144-81=y^2
63=y^2
3root7=y
Hope this helps you......