All categories

3 years ago

Anonymous

1 answer:

7 0

Given that <span>triangle ABC with vertices at A(-5, 4), B(-7, 2) and C(-2, 3) is rotated 180 degrees, reflected over the y-axis, and reflected over the x-axis.

Assuming that the rotation of 180 degrees was about the origin, rotation of 180 degrees implies refrection across the line y = x and will result in a triangle with vertices where the signs of the original vertices are changed.
Thus, the vertices of the triangle after a 180 degrees rotation are (5, -4), (7, -2) and (2, -3) respectively.

Refrection over the y-axis will result in a triangle with the signs of the x-value of the vertices changed.
Thus, the vertices of the triangle after a refrection over the y-axis are (-5, -4), (-7, -2) and (-2, -3)

Similarly, r</span><span>efrection over the x-axis will result in a triangle with the signs of the y-value of the vertices changed.
Thus, the vertices of the triangle after a refrection over the x-axis are (-5, 4), (-7, 2) and (-2, 3)
</span>
Therefore, point A' will lie at (-5, 4) after a series of transformation involving rotation by 180 degrees, refrection over the y-axis and refrection over the x-axs.

You might be interested in

for all values of x , a function f is defined by f(x)=x^2+7x+12 if f(a)=2, what could be the value of a?

Evgesh-ka [11]

Answer:

a = -2 or a = -5

Step-by-step explanation:

We want $f(a) = a^2 + 7a + 12 = 2$ . We can subtract 2 from both sides of this equation to get $a^2+7a+10=0$ . We can factor this to get that $(a+2)(a+5)=0$ . When the product of two numbers is equal to zero, one of the numbers must be equal to zero. This means that either a + 2 = 0, in which case a = -2, or a + 5 = 0, in which case a = -5.

4 0

3 years ago

Evaluate the expression without using a calculator: log10^3x-2y

Kruka [31]

Answer:

3x-2y

Step-by-step explanation:

log10^(3x-2y)

We know the base is base 10 since it is not written

log10 10^(3x-2y)

The log10 10 cancels

3x-2y

3 0

3 years ago

Read 2 more answers

20. Based on student records, 25% of the students at a large high school have a

Elenna [48]

Answer:

(E) 0.71

Step-by-step explanation:

Let's call A the event that a student has GPA of 3.5 or better, A' the event that a student has GPA lower than 3.5, B the event that a student is enrolled in at least one AP class and B' the event that a student is not taking any AP class.

So, the probability that the student has a GPA lower than 3.5 and is not taking any AP classes is calculated as:

P(A'∩B') = 1 - P(A∪B)

it means that the students that have a GPA lower than 3.5 and are not taking any AP classes are the complement of the students that have a GPA of 3.5 of better or are enrolled in at least one AP class.

Therefore, P(A∪B) is equal to:

P(A∪B) = P(A) + P(B) - P(A∩B)

Where the probability P(A) that a student has GPA of 3.5 or better is 0.25, the probability P(B) that a student is enrolled in at least one AP class is 0.16 and the probability P(A∩B) that a student has a GPA of 3.5 or better and is enrolled in at least one AP class is 0.12

So, P(A∪B) is equal to:

P(A∪B) = P(A) + P(B) - P(A∩B)

P(A∪B) = 0.25 + 0.16 - 0.12

P(A∪B) = 0.29

Finally, P(A'∩B') is equal to:

P(A'∩B') = 1 - P(A∪B)

P(A'∩B') = 1 - 0.29

P(A'∩B') = 0.71

5 0

3 years ago

Read 2 more answers

Paula has buttons. she gives away 28 buttons. choose the expression that shows the number of buttons paula has left.

mamaluj [8]

Answer:

y = 28 - x

Step-by-step explanation:

The variable x represents how many buttons Paula had before giving 28 away and the variable y represents how many buttons she has now.

3 0

2 years ago

Simplify -2.3f+0.9f-14-4

Setler [38]

Answer:

The Answer would be 1.4f-18

Step-by-step explanation:

-2.3f+0.9f-14-4

then you do

-1.4f-14-4

Then u would get 1.4f-18.

7 0

3 years ago

Read 2 more answers