Answer:
in step 4
Step-by-step explanation:
we have
so step 1 is correct
step 2
so step 2 is correct
step 3
so step 3 is correct
step 4
so step 4 is incorrect
TRIANGLE CONGRUENCE! PICTURE ADDED. How is QTP congruent to SPT?
1 answer:
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Answer:
His acceleration is meters per seconds²
Step-by-step explanation:
Acceleration is the rate of change of the speed
The formula of acceleration is , where
is the final speed
is the initial speed
- The unit of the acceleration is meters/second²
∵ Jim goes from 70 meters/minute (beginning speed) to
106 meters/minute (final speed) in 9 seconds
∴ His initial speed = 70 meters/minute
- Change it the meter per second
∵ 1 minute = 60 seconds
∴ meters/second
∴ =
meters/second
∵ His final speed = 106 meters/minute
- Change it the meter per second
∴ meters/second
∴ =
meters/second
∵ The time of the change of his speed is 9 seconds
∴ t = 9
∵ The formula of acceleration is
- Substitute the values of t, and
in the formula above
∴
∴ His acceleration is meters per seconds²
In order to determine the vertex of this, you can complete the square. To do that, first set the equation equal to 0, then move the -35 over to the other side by adding. That gives us 
. Now we can complete the square. Do this by taking half of the linear term, squaring it, and adding it in to both sides. Our linear term is 2x. Half of 2 is 1, and 1 squared is 1. So we add 1 to both sides, creating something that looks like this: 
. We will do the math on the right and get 36, and the left will be expressed as the perfect square binomial we created by doing this whole process. 
. Now move the 36 over by subtraction and set it back to equal y and your vertex is apparent. It is (1, -36). You find the x-intercepts when y = 0. That means you need to set your original equation equal to zero and factor it. The easiest, surest way to do this is to use the quadratic formula. Doing that gives us x values of 7 and -5. And you're done!