All categories

3 years ago

The figure shows two triangles on the coordinate grid:

Mathematics

2 answers:

Verizon [17]3 years ago

5 0

Answer: the correct option is

(D) A translation 5 units to the right, followed by a 180-degree counterclockwise rotation about the origin.

Step-by-step explanation: We are given two triangles ABC and A'B'C' on the co-ordinate grid.

We are given to select the set of transformations is performed on triangle ABC to form triangle A’B’C’.

From the graph, we note that

the co-ordinate of the vertices of triangle ABC are A(-4, -1), B(-3, -1) and C(-4, -4).

And, the co-ordinates of the vertices of triangle A'B'C' are A'(-1, 1), B'(-2, 1) and C'(-1, 4).

We know that if a point (x, y) is translated 5 units right, followed by a rotation of 180-degrees clockwise about the origin, then its new co-ordinates becomes

(x, y) ⇒ (-x-5, -y).

So, after these two transformations, the co-ordinates of the vertices of triangle ABC will become

A(-4, -1) ⇒ (4-5, 1) = (-1, 1),

B(-3, -1) ⇒ (3-5, 1) = (-2, 1)

and

C(-4, -4) ⇒ (4-5, 4) = (-1, 4).

The new co-ordinates are the co-ordinates of the vertices of triangle A'B'C'.

Thus, the required set transformations is

A translation 5 units to the right, followed by a 180-degree counterclockwise rotation about the origin.

Thus, option (D) is CORRECT.

prohojiy [21]3 years ago

4 0

Its the third option :)

You might be interested in

Factor completely

luda_lava [24]

Answer:

Step-by-step explanation:

1. $7x^3y+14x^2y^3-7x^2y^2$

The GCF of all the term of the above polynomial is $7x^2y$ , hence we take it outside and form a bracket

$7x^2y(x+2y^2-y)$

The polynomial within the bracket can not be factorized further hence this is our final answer. Option (B) is the right answer

2. $5x(x+3)+6(x+3)$

The GCF of all the term of the above polynomial is $(x+3)$ , hence we take it outside and form a bracket

$(x+3)(5x+6)$

The polynomial within the bracket can not be factorized further hence this is our final answer. Option (B) is the right answer

3. $8x^5+2x^4+4x^2$

The GCF of all the term of the above polynomial is $2x^2$ , hence we take it outside and form a bracket

$2x^2(4x^3+x^2+2)$

The polynomial within the bracket can not be factorized further hence this is our final answer. Option (D) is the right answer

4 0

3 years ago

The estimated probability of a football player scoring a touchdown during a particular game is 39%. Of several simulations of th

VLD [36.1K]

Answer:

The percentage of the simulations of two games that the football player would most likely get a touchdown in each of the two games = 15.21%

Step-by-step explanation:

The probability of scoring a touchdown in one game for the football player = 39% = 0.39

Probability of scoring a touchdown in each of the two consecutive games = (Probability of scoring a touchdown in the first game) × (Probability of scoring a touchdown in the second game)

Since the probability of scoring a touchdown in each game the football player plays in is independent of one another.

Probability of scoring a touchdown in the first game = Probability of scoring a touchdown in the second game = 0.39

Probability of scoring a touchdown in each of the two consecutive games = 0.39 × 0.39 = 0.1521

If 100 simulations of the two games are made, the player scores in each of the two games in 15.21 of them, hence, the percentage of the simulations that the football player would most likely get a touchdown in each of the two games = 15.21%

Hope this Helps!!

4 0

4 years ago

4/7m = 2/7( 2m+1 )<br> What is M?<br> Check Solution

aev [14]

4/7m = 2/7(2m + 1)
4/7m = 4/7m + 2/7
4/7m - 4/7m = 2/7
0 = 2/7 (incorrect)

no solution

5 0

3 years ago

Read 2 more answers

Write a two digit number greater than 40 that is divisible by 2 and 3

USPshnik [31]

Answer:

Step-by-step explanation:

bigger than 40. Divisible by 2 (any even number).

8 0

3 years ago

Read 2 more answers

Elena went to the store where you can scoop your own popcorn and buy as much as you want.she brought 10 ounces of spicy popcorn

kifflom [539]

Answer:

A. 4 ounces

Step-by-step explanation:

Given that Elana paid $2.50 for 10 ounces of popcorn, let x be the amount popcorn a dollar will buy.

Thus we have:

$2.50 = 10 ounces

$1 = x

Cross multiply

$2.50 × x = 10 ounces × $1

Divide both sides by $2.50

($2.50 × x)/$2.50 = (10 ounces × $1)/$2.50

x = (10 ounces)/2.50

x = 4 ounces

Therefore, you can buy 4 ounces of popcorn per dollar

7 0

3 years ago