In the following graph we observe line segment AB being mapped by translation to line segment A'B'.



A. In two or more sentences, explain what test you could perform to check the validity of this translation.

B. Prove mathematically that the translation is valid using the test you mentioned above.

The total cost of 400 square feet of land if it sells for $110 per square foot is $ 44,000.

Area is the quantity that expresses the extent of a region on the plane or on a curved surface.

Here, Total area = 400 sq. units

          Cost per square foot = $ 110

  Total Cost = Total area X Cost per unit area

     TC = 400 X 110

      TC = 44,000

Thus, the total cost of 400 square feet of land if it sells for $110 per square foot is $ 44,000.

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Answer:

Step-by-step explanation:

Je calcule la facture totale

11x4=44

La facture totale d'Eugène et ses trois amis était de 11$

Answer:

[tex]1.25332[/tex]

Step-by-step explanation:

[tex] tan(30 times tan(60 ) \div \tan(60 \div + 30) [/tex]

The solution to the equations are:

The equation is given as:

9x² - 36x + 36 = 0

The above equation is a quadratic equation which can be represented as:

ax² + bx + c = 0

The discriminant (d) is calculated as:

d = b² - 4ac

So, we have:

d = (-36)² - 4 * 9 * 36

d = 0

A discriminant of 0 means that the equation has two equal real solutions

Hence, 9x² - 36x + 36 = 0 has two equal real solutions

The equation is given as:

x² - x + 4 = 0

The above equation can be represented as:

ax² + bx + c = 0

The discriminant (d) is calculated as:

d = b² - 4ac

So, we have:

d = (-1)² - 4 * 1 * 4

d = -15

A discriminant of -15 means that the equation has no real solutions

Hence, x² - x + 4 = 0 has no real solutions

We have:

4x² + 23 – 35

Evaluate the difference

4x² -12

Factor out 4

4(x² -3)

Hence, the factored expression of 4x² + 23 – 35 is 4(x² -3)

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The dimensions of the original photo is: X = 11

A dimension can be defined as the parameters, measurement, scale  or size of an object or figure.

A dimension is so important as is gives us a visual representation of an object.

(x-3[tex])^{2}[/tex] = 64

(x-3) = [tex]\sqrt{64}[/tex]

x = 8 + 3

x = 11

In conclusion, The dimensions of the original photo is: X = 11

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The best method of solving two-step equation is "Apply the multiplication property of equality first, and then apply the addition property of equality to isolate the variable"

For instance:

40 = 5(x) - 5

40 = 5x - 5

40 + 5 = 5x

45 = 5x

x = 45/5

x = 9

Therefore, the correct answer is "Apply the multiplication property of equality first, and then apply the addition property of equality to isolate the variable".

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Answer:x ≤ 3

Step-by-step explanation:

(14.5x − 5(x + 2) ≤ 4 + 4(4 − 1/8x)
14.5x - 5x-10 ≤ 4 + 16 - 1/2x Get rid of the parenthesis

9.5x-10 ≤ 20-1/2x Combine like terms

10x - 10 ≤ 20

10x/10 ≤ 30/10

x ≤ 3

Answer:

7,654

Step-by-step explanation:

Arrange the digits in order to create the highest possible number.

7000 + 600 + 50 + 4 = 7654

By using the pythagoras theorum you can find an unknown leg of right angled triangle.

Hypotenuse side is in the front of the 90 degree angle and other two sides can be taken as base and perpendicular, so formula goes as :-

(Hypotenuse)^2 = (Base)^2 + (Perpendicular)^2

H^2 = B^2 + P^2

Step-by-step explanation:

Answer:

3660

Step-by-step explanation:

'milli..' in the metric system means 1000 th

 there are 1000 milliliters in a liter

   3.66 liters *  1000 ml/liter = 3660 ml

Answer:

105

Step-by-step explanation:

Consecutive interior angles need to add up to 180 degrees.

Therefore, 180 - 75 = 105

Answer:

105°

Consecutive interior angles are always supplementary, they add upto 180°

.

.

Angle A = 75°

Angle B = 180 - 75 = 105°

Step-by-step explanation:

I hope it helps u dear ^_^

Answer: HL

Step-by-step explanation:

If the hypotenuse and one leg of the two triangles are congruent, then the triangles are congruent. The correct option is D, HL.

According to the HL theorem, If the hypotenuse and one leg of the two triangles are congruent, then the triangles are congruent. therefore, the hypotenuse will be congruent to each other, and the corresponding sides will be congruent to each other.

In the two of the given triangle, ΔPQR and ΔSTU, the following things can be seen,

PR ≅ SU (Leg of the triangle)

RQ ≅ TU (Hypotenuse)

Also, since the two of the triangles are right angle triangle, and the length of the one leg of the two triangles is equal, also, the hypotenuse of the two triangle is equal. Therefore, Using the HL postulate. The two triangles can be said to be congruent.

Hence, the triangle congruence criterion can be used to prove that PQR and STU are congruent is HL Congruency.

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Answer:

Given:

[tex]\displaystyle \int\limits_{1}^{3} x^2 \:dx[/tex]

Trapezium Rule

[tex]\displaystyle \int\limits_{a}^{b} y \:dx \approx \dfrac{1}{2}h\left[(y_0+y_n)+2(y_1+y_2+...+y_{n-1})\right] \quad \textsf{where }h=\dfrac{b-a}{n}[/tex]

Calculate the width of each strip (h).

Given:

[tex]\implies h=\dfrac{3-1}{5}=0.4[/tex]

Create a table with the x and y values:

[tex]\large\begin{array}{| c | c | c | c | c | c | c |}\cline{1-7} x & 1 & 1.4 & 1.8 & 2.2 & 2.6 & 3\\\cline{1-7} y & 1 & 1.96 & 3.24 & 4.84 & 6.76 & 9\\\cline{1-7}\end{array}[/tex]

Put all the values into the formula:

[tex]\begin{aligned}\displaystyle \int\limits_{1}^{3} x^2 \:dx & \approx \dfrac{1}{2}(0.4)\left[(1+9)+2(1.96+3.24+4.84+6.76)\right]\\& = 0.2\left[10+2(16.8)\right]\\\\& = 0.2\left[10+33.6\right]\\\\& = 0.2\left[43.6\right]\\\\& = 8.72 \end{aligned}[/tex]

[tex]\begin{aligned}\displaystyle \int\limits_{1}^{3} x^2 \:dx &=\left[\dfrac{1}{3}x^3\right]^3_1\\& = \dfrac{1}{3}(3)^3-\dfrac{1}{3}(1)^3\\& = 9-\dfrac{1}{3}\\& = \dfrac{26}{3}\end{aligned}[/tex]

The exact area as a decimal is [tex]\sf 8.\dot{6}[/tex].  Therefore, the estimated answer of 8.72 is an overestimate.

Answer to (a) = 8.72

To find the maximum possible error:

Therefore, the maximum possible error for 8.72 is 0.005.

Trapezoid Error formula

[tex]|E| \leq \dfrac{(b-a)^3}{12n^2}\left[\textsf{max}|f''(x)|\right],\quad a \leq x \leq b[/tex]

Calculate the second derivative:

[tex]f(x)=x^2[/tex]

[tex]f'(x)=2x[/tex]

[tex]f''(x)=2[/tex]

Input the values into the formula:

[tex]\implies |E| \leq \dfrac{(3-1)^3}{12n^2}(2) < 0.001[/tex]

[tex]\implies 16 \leq 0.012n^2[/tex]

[tex]\implies 36.5148...\leq n[/tex]

[tex]\implies 37\leq n[/tex]

Answer:

last one is the answer brother

Answer:

Step-by-step explanation:

Answer:

the answer is D

hope it will help

Given the FDIC insurance limit, the amount that Gordon would get back is $200,000.

The Federal Deposit  Insurance Corporation (FDIC) was established after the great depression with the aim of insuring the deposits of customers in banks.

If the limit on insurance is $250,000, depositors with $250,000 or less would get the full amount of their deposits in case of bank failure. If the deposit is greater than $250,000, they would get $250,000.

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Suppose that a sample is taken from a population whose mean value is 45,   the sample mean will approach

[tex]\mu=45[/tex]

Generally, the equation for the standard deviation is mathematically given as

Standard deviation sample mean  [tex]\mu = \frac{\sigma}{\sqrt{n}}[/tex]

Therefore, where a population whose mean value is 45 for any sample

size, Hence mean of the sample mean is

[tex]\mu = \=x[/tex]

[tex]\mu=45[/tex]

In conclusion, the value the sample mean approach is

[tex]\mu=45[/tex]

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Answer:

see the attachment photo!

The price of the stock after the change in price on Thursday is  $16.76.

The price of the stock at the beginning of the week is $16.81.

The price at the end of the week is a function of the total changes in price and the price at the beginning of the week.

$17.17 = beginning price + 0.21 + 0.09 - 0.03 -  0.02 + 0.11

$17.17 = beginning price + 0.36

Beginning price = $17.17 - 0.36 = $16.81

Price on Thursday = $16.81 + 0.21 + 0.09 - 0.03 -  0.02 = $16.76

Here are the questions:

What was the price of the stock after the change in price on Thursday?

What was the price of the stock at the beginning of the week?

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Answer: 5 is the mode

Step-by-step explanation: The mode is the number that is appeared most often in the data, so the mode in this case (4, 5, 5, 6, 10, 11, 12, 13) is 5.

The expression represents the volume of the can is 2x³ + 35x² + 176x + 192.

Volume is a mathematical term that describes how much three-dimensional space an object or closed surface occupies. The measurement for volume is in cubic units, such m3.

Expression: (Math Operator, Number/Variable, Math Operator)

We have,

radius = (x + 8) and, height = (2x + 3)

So, Volume of can

= πr²h

= π(x+8)² (2x+3)

= π (x² + 16x + 64) (2x+3)

= π (2x³ + 3x² + 32x² + 48x + 128x + 192)

= π (2x³ + 35x² + 176x + 192)

So, the Expression for volume is 2x³ + 35x² + 176x + 192.

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Answer:

i wish i knew

Step-by-step explanation:

The probability that a person older than 35 years has a hemoglobin level less than 9 is 0.47.

The probability that a person younger than 25 years has a hemoglobin level above 11 is 0 .50

the probability that a person in the 25-35 age group has a hemoglobin

level less than 9 is 0.25.

The probability that a person older than 35 years has a hemoglobin level between 9 and 11 is 0.28.

The probability that a person older than 35 years has a hemoglobin level less than 9 = number of people order than 35 that have a hemoglobin level less than 9 / total number of people over 35

= 76 / 167 = 0.47

The probability that a person younger than 25 years has a haemoglobin level above 11 = people over 25 that have a haemoglobin level above 11 / total number of people above 25

69/139 = 0 .50

The probability that a person in the 25-35 age group has a hemoglobin

level less than 9 = people between 25 - 35 that have a haemoglobin level less than 9 / total number of people between 25 - 35

=  32/128  = 0.25

The probability that a person older than 35 years has a hemoglobin level between 9 and 11=  number of people order than 35 that have a hemoglobin level 9 - 11 / total number of people over 35

46 / 162 = 0.28

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Answer:

8 million insect species

Step-by-step explanation:

Solving :

⇒ Number of species = Total organisms × % of the species

⇒ Number of species = 12.4 × 64%

⇒ Number of species = 0.124 × 64

⇒ Number of species = 7.936 million ≈ 8 million insect species

Answer:

56%

Step-by-step explanation:

i think your missing some info.

The probability that an animal has stripes will be 0.86.

The probability that an animal has stripes will be:

= Orange stripes + Brown stripes + Grey stripes

= 0.16 + 0.3 + 0.4

= 0.86

The probability that an animal doesn't have stripes will be:

= 1 - 0.86

= 0.14

Therefore, the probability that an animal doesn't have stripes is 0.14.

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A triangle is a three-edged polygon with three vertices. The correct option is C.

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.

The sides of the triangle PQR are PQ, QR, and PR. Thus, the correct option is C.

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Answer:

Approx. 1343 feet

Step-by-step explanation:

Building A is 71 stories at 875 feet tall. Since the two buildings have the same number of feet per floor, we can divide building A's stories to find the height of 1 story, and then multiply by the stories of building B.

Building A
71 ÷ 71 = 1 story
875 ÷ 71 = 12.32 feet
Each story is approximately 12.32 feet tall

Building B
1 story × 109 = 109 stories
12.32 feet × 109 = 1343.31 feet

Rounded to the nearest foot is 1343 feet.