( x -3 )² = y - 4
y = ( x - 3 )² + 4
One solution is located at the vertex: ( 3, 4 ).
y = - x + b
4 = - 3 + b
b = 7
( x - 3 )² = - x + 7 - 4
x² - 6 x + 9 = - x + 3
x² - 5 x + 6 = 0
x² - 2 x - 3 x + 6 = 0
x ( x - 2 ) - 3 ( x - 2 ) = 0
( x - 2 ) ( x - 3 ) = 0
x 1 = 2, x 2 = 3
y 1 = 5, y 2 = 4.
In order for this solution to be reasonable, the 2nd equation must be:
y = - x + 7
Answer:
Jeff finished first
Step-by-step explanation:
To solve this equation, I can either converts 2 minutes 2 seconds to seconds or convert 121 seconds to minutes
<u><em>CONVERT 2 MINUTES 2 SECONDS TO SECONDS</em></u>
60 seconds = 1 minutes
to convert 2 minutes 2 seconds to seconds, multiply 2 minutes by 60 and then add 2 seconds to it
2 x 60 = 120 seconds
120 seconds + 2 seconds = 122 seconds
Paul finished in 122 seconds while Jeff finished in 121 seconds. Jeff finished first
<u><em>CONVERT 121 SECONDS TO MINUTES</em></u>
60 seconds = 1 minutes
To convert 121 seconds to minutes, we have to divide by 60
121/60 = 2 minutes 1 second
Paul finished the race in 2 minutes 2 seconds while eff finished the race in 2 minutes 1 second. Jeff finished first
Answer:
Volume: 112 m³.
Surface area: 172 m².
Step-by-step explanation:
The volume is the base times height times length. So, the volume will be 2 * 8 * 7 = 16 * 7 = 112 m³.
The surface area is 2lw + 2lh + 2wh. l = 8; w = 7; h = 2.
2(8)(7) + 2(8)(2) + 2(7)(2) = 2 * 56 + 2 * 16 + 2 * 14 = 112 + 32 + 28 = 112 + 60 = 172 m².
Hope this helps!
Answer:
b-13
Step-by-step explanation:
I'm pretty sure this is right? Unless I'm missing something, if I am I am terribly sorry.
Answer:
Reflect, Translate, Dilate
Step-by-step explanation:
1. Reflect across the y-axis
2. Translate the triangle (x + 1, y + 1)
3. Dilate PQR by: 
