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andrey2020 [161]

4 years ago

14

The vertices of Triangle ABC are Upper A (-4, 4), Upper B (-2, 3) and Upper C (- 3, 2). If Triangle ABC is reflected across the

line y= -2 to produce the image A'B'C', find the coordinates of the vertex B'.

1 answer:

k0ka [10]4 years ago

6 0

Answer: B’ ( -2, -7)

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A car travels along a straight stretch of road. It proceeds for 16.2 mi at 57 mi/h, then 24.6 mi at 44 mi/h, and finally 45.1 mi

LekaFEV [45]

Answer:

The average velocity the entire trip was 43.25 mi/h

Step-by-step explanation:

In this case we have to calculate an average based on the miles traveled. First we have to calculate the total of miles traveled, then calculate the portion of the total travel of each and with this calculate the average speed during the trip. First the total miles traveled:

$TotalMiles=16.2+24.6+45.1=85.9$

Now the percentages:

At 57 mi/h were $\frac{16.2}{85.9}=0.19$

At 44 mi/h were $\frac{24.6}{85.9}=0.29$

At 37.8 mi/h were $\frac{45.1}{85.9}=0.52$

Now multiplying the speed by the portion and summing them we can have the average velocity:

$57*0.19+44*0.29+37.8*0.52=43.25$

The average velocity the entire trip was 43.25 mi/h

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What are the solutions to the system of circle and line when the circle is given by x²+y²=9, and the line is given by y=4?

san4es73 [151]

Answer:

√7i = x

Step-by-step explanation:

x²+y²=9;

y² = 9-x²

y = √(9-x²)

As line is given by y= 4, the solution of the system is:

4 = √(9-x²)

16 = 9-x²

7 = -x²

-7 = x²

√-7 = x

As √-7 doen't exist, you should use i = √-1;

Thus,

<em>√7i = x</em>

<em></em>

I hope it helps!

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g100num [7]

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