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Elena L [17]
3 years ago
7

ΔABC with vertices A(-3, 0), B(-2, 3), C(-1, 1) is rotated 180° clockwise about the origin. It is then reflected across the line

y = -x. What are the coordinates of the vertices of the image?
Mathematics
2 answers:
Nina [5.8K]3 years ago
8 0

Answer:

C.)

A'(-3, 0), B'(-3, 2), C'(-1, 1)

hjlf3 years ago
7 0

Answer: The answer would be C. Please give me a thanks :) bye!

Step-by-step explanation:

You might be interested in
Find derivative problem<br> Find B’(6)
dalvyx [7]

Answer:

B^\prime(6) \approx -28.17

Step-by-step explanation:

We have:

\displaystyle B(t)=24.6\sin(\frac{\pi t}{10})(8-t)

And we want to find B’(6).

So, we will need to find B(t) first. To do so, we will take the derivative of both sides with respect to x. Hence:

\displaystyle B^\prime(t)=\frac{d}{dt}[24.6\sin(\frac{\pi t}{10})(8-t)]

We can move the constant outside:

\displaystyle B^\prime(t)=24.6\frac{d}{dt}[\sin(\frac{\pi t}{10})(8-t)]

Now, we will utilize the product rule. The product rule is:

(uv)^\prime=u^\prime v+u v^\prime

We will let:

\displaystyle u=\sin(\frac{\pi t}{10})\text{ and } \\ \\ v=8-t

Then:

\displaystyle u^\prime=\frac{\pi}{10}\cos(\frac{\pi t}{10})\text{ and } \\ \\ v^\prime= -1

(The derivative of u was determined using the chain rule.)

Then it follows that:

\displaystyle \begin{aligned} B^\prime(t)&=24.6\frac{d}{dt}[\sin(\frac{\pi t}{10})(8-t)] \\ \\ &=24.6[(\frac{\pi}{10}\cos(\frac{\pi t}{10}))(8-t) - \sin(\frac{\pi t}{10})] \end{aligned}

Therefore:

\displaystyle B^\prime(6) =24.6[(\frac{\pi}{10}\cos(\frac{\pi (6)}{10}))(8-(6))- \sin(\frac{\pi (6)}{10})]

By simplification:

\displaystyle B^\prime(6)=24.6 [\frac{\pi}{10}\cos(\frac{3\pi}{5})(2)-\sin(\frac{3\pi}{5})] \approx -28.17

So, the slope of the tangent line to the point (6, B(6)) is -28.17.

5 0
3 years ago
The Demand function for a product is given by:
VikaD [51]

Answer:

The average rate of change of Demand between 40 and 175 units sold is of -0.1045.

Step-by-step explanation:

Average rate of change:

The average rate of a function f(x) in an interval [a,b] is given by:

A = \frac{f(b) - f(a)}{b - a}

In this question:

D(q) = -0.0003q^2 - 0.04q + 23.56

What is the average rate of change of Demand between 40 and 175 units sold?

a = 40, b = 175. So

D(40) = -0.0003*40^2 - 0.04*40 + 23.56 = 21.48

D(175) = -0.0003*175^2 - 0.04*175 + 23.56 = 7.3725

So

A = \frac{f(b) - f(a)}{b - a} = \frac{7.3725 - 21.48}{175 - 40} = -0.1045

The average rate of change of Demand between 40 and 175 units sold is of -0.1045.

3 0
3 years ago
The sum of three consecutive integers is 53 more than the least of the integers. Find the integers. Really need the help!!
inn [45]

Answer:

25, 26, 27

Step-by-step explanation:

x+x+1+x+2=x+53

3x+3=x+53

2x=50

x=25

so x=25, x+1=26, x+2=27

3 0
3 years ago
Define a function print_total_inches, with parameters num_feet and num_inches, that prints the total number of inches. note: the
Leona [35]

Answer:

2

I am taking my first programming course, so my apologies if this is a dumb question/possibly classified by the wrong category on this site. One of the exercise problems I am working on is the following:

Define a function print_total_inches, with parameters num_feet and num_inches, that prints the total number of inches. Note: There are 12 inches in a foot. Ex:

print_total_inches(5, 8) prints:

Total inches: 68

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
3/4 ÷ 5 1/2 please explain the steps
Mademuasel [1]
The easiest way to do it is to make the numbers into decimals.  All you need to do is divide them.

To convert 3/4 into a decimal just divide 3 by 4.

3 / 4 = .75

To get 5  1/2 into a decimal just ignore the 5 for now and divide the 1 by 2.

1 / 2 = .5

Now add the 5 back on and you have 5.5

So far you have converted the equation from (3/4) / 5 1/2 to .75 / 5.5

Now just divide .75 by 5.5

.75 / 5.5 = 1.136 with the 36 repeated

3 0
3 years ago
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