Answer:
8c - 2
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
the quantity of 7+x, squared
Answer:
( X+7 ) ^ 2
Step-by-step explanation:
=X ^ 2+ 2 x 7 x X + 7 ^ 2
= X^2 +14X +49
Answer:
Step-by-step explanation:
The quantity x + 7 is squared.
Expand the brackets and simplify the expression.
We can leave the expression in factored form.
B. describe in words what happens to the x coordinates and y coordinates of the original triangle's vertices as a result of this reflection
Answer:
(-1,3) (-3,1) and (-4,5)
Step-by-step explanation:
Given is a triangle ABC with coordinates (1,3)(3,1) (4,5)
First transformation is reflection over yaxis i.e. x=0
Reflection in the y -axis: A reflection of a point over the y -axis is shown. The rule for a reflection over the y -axis is (x,y)→(−x,y)
Hence x coordinate will change sign
The resulting coordinates would be
(-1,3) (-3,1) and (-4,5) respectively
y coordinates will remain the same because of this reflection.
Hence new coordinates would be
(-1,3) (-3,1) and (-4,5) For A, B and C in the same order
The distance between hometown and school is 188.75 miles.
Given that, the person drive 110 miles at 55 miles/hour.
Average speed is calculated by dividing a quantity by the time required to obtain that quantity. Meters per second is the SI unit of speed. The formula , where S is the average speed, d is the total distance, and t is the total time, is used to determine average speed.
Due to snow, speed is slow down to 35 miles/hour.
Let x miles be travelled with 35 miles/hour.
Total time taken to travel is 4 hours and 15 minutes.
Here, and
Now,
miles
Total distance = 110+78.75
= 188.75 miles
Therefore, the distance between hometown and school is 188.75 miles.
Learn more about the average speed here:
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The total distance from school to the student's hometown is calculated as the sum of distances covered at different speeds. The student spends 2 hours at 55 mi/h, covering 110 miles, and then 2.25 hours at 35 mi/h, covering 78.75 miles, making up a total of 188.75 miles.
The question pertains to the concepts of distance, speed and time in mathematics. In this scenario, the student drives at a speed of 55 mi/h for 110 miles and then slows down due to snowfall and drives at 35 mi/h. From this information, we can calculate the time spent at each speed.
Firstly, since Speed = Distance / Time, we can rearrange to find Time = Distance / Speed. For the first stretch of the journey, the time is 110 miles / 55 mi/h = 2 hours.
It is given that the total journey takes 4 hours and 15 minutes which is equivalent to 4.25 hours. So, the time spent driving at 35 mi/h is 4.25 hours (total trip time) - 2 hours (first stretch) = 2.25 hours.
The distance covered when it was snowing can be found by multiplying this time by the slower speed: 35 mi/h * 2.25 h = 78.75 miles.
Therefore, the total distance from school to the student's hometown is the sum of the distance traveled at each speed: 110 miles (at 55 mi/h) + 78.75 miles (at 35 mi/h) = 188.75 miles.
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