Yuki was curious if △ A B C △ABCtriangle, A, B, C was congruent to △ F E D △FEDtriangle, F, E, D, so she tried to map one triangle onto the other using transformations: A coordinate plane. The x- and y-axes both scale by one. A pre-image Triangle A B C has point A at two, two, point B at five, four, and Point C at eleven, two. Another triangle D E F has point D at three, twelve, point E at nine, ten, and point F at twelve twelve. Triangle A B C is translated four units to the right and six units up to form the image Triangle A prime at six, eight, B prime at nine, ten, and C prime at fifteen, eight. E E D D F F A A B B C C A coordinate plane. The x- and y-axes both scale by one. A pre-image Triangle A B C has point A at two, two, point B at five, four, and Point C at eleven, two. Another triangle D E F has point D at three, twelve, point E at nine, ten, and point F at twelve twelve. Triangle A B C is translated four units to the right and six units up to form the image Triangle A prime at six, eight, B prime at nine, ten, and C prime at fifteen, eight. Yuki concluded: "It's not possible to map △ A B C △ABCtriangle, A, B, C onto △ F E D △FEDtriangle, F, E, D using a sequence of rigid transformations, so the triangles are not congruent." What error did Yuki make in her conclusion? Choose 1 answer: Choose 1 answer: (Choice A) A One more transformation — a rotation — would map △ A B C △ABCtriangle, A, B, C onto △ F E D △FEDtriangle, F, E, D. So the triangles are congruent. (Choice B) B One more transformation — a reflection — would map △ A B C △ABCtriangle, A, B, C onto △ F E D △FEDtriangle, F, E, D. So the triangles are congruent. (Choice C) C There is no error. This is a correct conclusion.

The equation which represents the real world problem involving a rectangle as described in the task content is; 9/14 = 3/7 × 3/2.

It follows from the task content that the equation which represents the real world problem involving a rectangle be determined.

It follows from plane shape measures that the area of a rectangle is;

Area = length × width.

Hence, from the parameters given; we have;

Area = 3/7 × 1 1/2

Area = 3/7 × 3/2

Ultimately, the model according to the given parameters which hold true is;

9/14 = 3/7 × 3/2.

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The expression equivalent to [tex](x+2)+[4x-(\frac{x^{2}+6x+8 }{x+4})][/tex] is  option (A) 4x.

As per the question statement, we are given with an expression  [tex](x+2)+[4x-(\frac{x^{2}+6x+8 }{x+4})][/tex].

We are required to simplify the above mentioned expression.

To solve this question, let us simplify the expression, part by part.

First, We are considering the part (x² + 6x + 8), which can be rewritten as

[tex][( (x^{2} + 6x + 9) - 1][/tex]...(1)

Now, [tex](x^{2} +6x +9)=[(x)^{2} +(2*x*3)+(3)^{2}][/tex]...(2)

Comparing [tex][(x)^{2} +(2*x*3)+(3)^{2}][/tex] with the standard form of

[(a + b)² = (a² + 2ab + b²)], we get, (a = x) and (b = 3).

Therefore, [tex][(x^{2} +6x +9)=(x+3)^{2}][/tex], then,

[tex][( (x^{2} + 6x + 9) - 1] = [(x+3)^{2} -1]\\or, (x^{2} + 6x + 8)=[(x+3)^{2}-(1)^{2}][/tex]...(3)

Again, comparing [tex][(x+3)^{2}-(1)^{2}][/tex] with the standard expansion of

[(c²- d²) = (c + d)(c -d)], we get, [(x + 30 = c] and (d = 1).

Therefore, [tex][(x+3)^{2}-(1)^{2}]=[(x+3+1)(x+3-1)][/tex]

[tex]or, (x^{2} + 6x + 8) = (x+4)(x+2)[/tex].

Using the simplified value of (x² + 6x + 8) in the expression  [tex](x+2)+[4x-(\frac{x^{2}+6x+8 }{x+4})][/tex], we get,

[tex](x+2)+[4x-(\frac{x^{2}+6x+8 }{x+4})]=(x+2)+[4x-\frac{(x+4)(x+2)}{(x+4)} ]\\or, (x+2)+[4x-(\frac{x^{2}+6x+8 }{x+4})]=(x+2)+[4x-(x+2)]\\or, (x+2)+[4x-(\frac{x^{2}+6x+8 }{x+4})]=(x+2)+[(4x-x)-2]\\or, (x+2)+[4x-(\frac{x^{2}+6x+8 }{x+4})]=(x+2)+(3x-2)\\or, (x+2)+[4x-(\frac{x^{2}+6x+8 }{x+4})]=[(x+3x)+(2-2)]\\or, (x+2)+[4x-(\frac{x^{2}+6x+8 }{x+4})]=4x[/tex]

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Answer:

I would say 144

Step-by-step explanation:

I say 144 Because 3 to the square root of 16 is 12

And twelve to the second power is 2

Hence , the store owner's profit will be $ 102 .

It is providing a store owner orders twenty five calculators that price ​$30 every.

Original cost = number of calculators × cost per calculator

                       = 25 ×  30

                       = $ 750

Sales revenue  = 22 ×  39

                         = $ 858

Return loss = 3 ×  2

                   = $ 6

Profit = Sales revenue - ( Original cost + Return loss )

          =  858 - ( 750 + 6 )

          = 858 - 756

          = $ 102

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The equation, in point-slope form, matches the graphed line is y + 7= 2/5(x - 4)

The point on the line is given as

Point = (4, -7)

The slope (m) of the line is given as

m = 2/5

The linear equation is then represented as

y - y1 = m(x - x1)

So, we have

y + 7= 2/5(x - 4)

Hence, the equation, in point-slope form, matches the graphed line  is y + 7= 2/5(x - 4)

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Reginald spent 7/4 hours if his time in writing notes.

As, per the given question;

Total time of Reginald doing research in the library is 2 1/3 hours.

2 1/3 is given in the mixed fraction;

Solving this;

= (2×3 + 1)/3

= (6 + 1)/3

= 7/3

Thus, total hours in library is 7/3 hours.

He spent 3/4 of that time in writing notes;

3/4 of 7/3 will be. simply multiply.

= (3/4)(7/3)

= 7/4

Thus, the total time spent 7/4 hours of his library time in writing his notes.

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Answer: 1, 2, 4

Step-by-step explanation:

Step-by-step explanation:

Remember your exponent rules.

[tex] {a}^{ - m} = \frac{1}{a} [/tex]

And

[tex] {(\frac{a}{b} )}^{ - m} = {(\frac{b}{a} )}^{ m}[/tex]

So the first one would be

[tex] \frac{1}{ {4}^{3} } \times 4 = \frac{1}{16} [/tex]

Answer:

2a.The difference is that question 1b has been ordered by PEDMAS

2b. The fact that Add(A) comes before Subtract(S).

2c. The order of the subjects in Bidmas.

Step-by-step explanation:

Answer: x∈(-∞,3]      x∈(-∞,1.5)

Step-by-step explanation:

2(3x+1)≤20

Divide both parts of the equation by 2:

3x+1≤10

3x+1-1≤10-1

3x≤9

Divide both parts of the equation by 3:

x≤3

Thus, x∈(-∞,3]

[tex]\displaystyle\\4(x-1) < 2\\\\Divide\ both\ parts\ of\ the\ equation \ by \ 4:\\\\x-1 < \frac{2}{4} \\\\x-1 < 0.5\\\\x-1+1 < 0.5+1\\\\x < 1.5\\\\Thus,\ x\in(-\infty,1.5)[/tex]

The solution in interval notation, x∈(-∞,3] and x∈(-∞,1.5)

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

An inequality is a mathes that compares two values or expressions using a relational operator, such as less than (<), greater than (>), less than or equal to (≤), greater than or equal to (≥), or not equal to (≠). Inequalities is used to describe relationships between quantities or to express constraints or conditions.

WE are given that the inequality  as;2(3x+1)≤20

Divide both parts of the equation by 2:

3x+1≤10

3x+1-1≤10-1

3x≤9

Now Divide both parts of the equation by 3:

x≤3

Thus, x∈(-∞,3]

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The interest that y dollars earn in one day at a rate of 1.75% compounded daily is 0.0175

An equation is an expression that shows the relationship between two or more numbers and variables.

Let I represent the total interest gotten from investing y dollars. Since y dollars is invested at a rate of 1.75% compounded daily, hence:

Interest = y * 0.0175 = 0.0175

The interest that y dollars earn in one day at a rate of 1.75% compounded daily is 0.0175

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Greetings from Brasil...

The expression that allows using the equation of a circle is:

(X - Xc)² + (Y - Yc)² = R²

as

Xc = - 4, Yc = 4 and R = 4, then

or

X² + 8X + Y² - 8Y + 16 = 0

The possible answers for the vertices of triangle A'B'C' are (14, 3), (- 6, 2) and (- 8, 6). (Correct answers: A, E, D)

In this problem we find the locations of the three vertices of a triangle, which is modified by a non-rigid transformation rule, that is, a transformation that does not conserve the original form of the triangle. If we know that A(x, y) = (7, 6), B(x, y) = (- 3, 5) and C(x, y) = (- 4, 9), then the vertices of the image of the triangle are, respectively:

A'(x, y) = (2 · 7, 6 - 3)

A'(x, y) = (14, 3)

B'(x, y) = (2 · (- 3), 5 - 3)

B'(x, y) = (- 6, 2)

C'(x, y) = (2 · (- 4), 9 - 3)

C'(x, y) = (- 8, 6)

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Answer:

2x/3

Step-by-step explanation:

[tex] \frac{16 {x}^{4} }{24 {x}^{3} } = \frac{2x}{3} [/tex]

La rueda recorre una distancia de 75.420 metros tras 60 vueltas. (Correct choice: A)

La rueda se desplaza sobre el suelo mediante un tipo de movimiento conocido como rodadura, en la que la rueda experimenta rotación y traslación, cuyo centro instantáneo de rotación es el punto de contacto entre la rueda y el suelo.

Si no existe deslizamiento de la rueda con respecto al suelo, entonces la distancia recorrida tras una revolución de la rueda (s), en metros, es descrita por la siguiente ecuación:

s = 2π · r         (1)

Donde r es el radio de la rueda, en metros.

Si tenemos que r = 0.20 m, entonces la distancia recorrida es:

s = 2π · (0.20 m)

s ≈ 1.257 m

Asimismo, la distancia recorrida es directamente proporcional al número de revoluciones de la rueda es y la distancia recorrida tras 60 vueltas es determinada por regla de tres simple:

S = 60 vueltas × (1.257 m / 1 vuelta)

S = 75.420 metros

La rueda recorre una distancia de 75.420 metros tras 60 vueltas.

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Answer:

[tex]2.50c \: + \: 3.25b \: \leqslant \: 35[/tex]

Step-by-step explanation:

The total amount spent needs to be less than 35 dollars but it can also equal that amount. It can't be greater than 35 dollars because you can't spend money you don't have

Answer:

3 18/19

Step-by-step explanation:

1. Change to improper fractions.

        (You do this by multiplying the denominator and the whole number, then add the numerator.)

7 1/2 ⇒ 15/2

1 9/10 ⇒ 19/10

So now its:  15/2 ÷ 19/10

2. Keep, change, flip

Keep the first number (15/2), change the division to multiplication, flip the other fraction (From 19/10 to 10/19).

3. Multiply

15/2 × 10/19 = 150/38

Simplified, the answer is 3 18/19

Answer:

y^2 - 4y + 16 - 65/y + 4

The value of x is 3.6 and the value of y is 13.35.

We are given the equations that:

15 x - 26 = 28°

12 x + 1 = (4 y - 9)°

Now,

15 x - 26 = 28°

Add 26 to both the sides:

15 x = 28 + 26

15 x = 54

Divide both sides by 15, we get that:

x = 54 / 15

x = 3.6

Now, we have:

12 x + 1 = (4 y - 9)°

Substitute x = 3.6

12 (3.6) + 1 = 4 y - 9

43.2 + 1 = 4 y - 9

44.2 = 4 y - 9

4 y = 44.2 + 9

4 y = 53.2

y = 53.2 / 4

13.35

Therefore, we get the value of x as 3.6 and the value of y as 13.35.

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Answer:

The value of x is 3.6 and the value of y is 13.35.

Step-by-step explanation:

The speed of her plane in feet per second is 50 feet per second and the plane high was 1750 feet.

i. The speed of Hailey’s plane is 50 feet per second.

As Hailey’s plane took 90 seconds to climb 4,500 feet,

X= 4,500 ÷ 90

X= 50 feet per second.

ii. The plane was at 1750 feet at 35 seconds.

As the plane climb 50 feet per second,

X= 50 * 35

X= 1750 feet.

Jetliners typically fly between 240 and 285 km/h during take-off (130–154 km; 149–177 mph). Light aircraft, such a Cessna 150, accelerate to about 100 km/h after take-off (54 km; 62 mph). Even slower take-off speeds apply to ultra-lights.

Hence, the speed of her plane in feet per second is 50 feet per second and the plane high was 1750 feet.

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The speed of her plane in feet per second is 50 feet per second and the plane high was 1750 feet.

i. The speed of Hailey’s plane is 50 feet per second.

As Hailey’s plane took 90 seconds to climb 4,500 feet,

X= 4,500 ÷ 90

X= 50 feet per second.

ii. The plane was at 1750 feet at 35 seconds.

As the plane climb 50 feet per second,

X= 50 * 35

X= 1750 feet.

Jetliners typically fly between 240 and 285 km/h during take-off (130–154 km; 149–177 mph). Light aircraft, such a Cessna 150, accelerate to about 100 km/h after take-off (54 km; 62 mph). Even slower take-off speeds apply to ultra-lights.

Hence, the speed of her plane in feet per second is 50 feet per second and the plane high was 1750 feet.

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Lelah can arrange the four posters in 24 ways.

A permutation is an arrangement of objects in a definite order. The members or elements of sets are arranged here in a sequence or linear order.

Now it is given that,

Number of poster = 4

Number of walls = 4

Since one poster of each team to put one poster on each of her four walls.

So, number of ways = 4!

⇒ number of ways = 4x3x2x1

⇒ number of ways = 24 ways

Thus,  Lelah can arrange the four posters in 24 ways.

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The required cost of each cookie become when buying in dozen is $0.54.

Given that,
Bought 12 cookies (each cookie for 0.99).
A dozen pack is for 6.55.
how much more would each cookie cost if bought by the dozen is to be determined.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,
In a dozen cookies, there are 12 cookies
Now cost of a dozen cookies = 6.55
Now 12 cookies = $6.55
1 cookie = 6.55 / 12
cost of 1 cookie = $0.54

Thus, the required cost of each cookie become when buying in dozen is $0.54.

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Answer:13

Step-by-step explanation:51 goes into 66 one time so 66-51=15

then 153/51=3 so 13

Step-by-step explanation:

51 goes into 66 one time so 66-51= 15 then 153/51 = 3 so 13

The base-ten number for the number 29 is 29

The number is given as

29

The base of the above number is not stated

When the base of a number is not stated, then the base of the number is base 10

This means that the number 29 is in base ten

Hence, the base-ten number for the number 29 is 29

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The point after the first one is (2,5). The point after the third one is (4,11) The fifth point is (5,14). The last point is (6,17)

Answer:

does that help?

Answer:

Step-by-step explanation:

There are 4 five's in the deck.

Probability of drawing a five is:

Since the card is replaced, it has same probability the second time.

So the probability of drawing a five twice is: