Amanda was given the coordinates of the vertices of a triangle and asked to translate the figure according to the rule (x, y)--(x +3. y - 4). If the original
triangle has vertices A(-2, 4), B(1,5), and C(3-6), what are the coordinates of the vertices of its image?

The best describes reason the proof is not correct is c. The proof violates the parity property.

The reason the attempted proof of the statement "The difference between any odd integer and any even integer is odd" is not correct is "The proof violates the parity property."

The student incorrectly subtracted an even integer from an odd integer and concluded that the result is odd. However, the difference between an odd integer and an even integer is always odd, which can be proven directly as follows:

Let n be any odd integer and m be any even integer. Then, by definition, n = 2k + 1 and m = 2j for some integers k and j. The difference between n and m is:

n - m = (2k + 1) - 2j

= 2k - 2j + 1

= 2(k - j) + 1

Since k and j are integers, k - j is also an integer. Therefore, the difference between any odd integer and any even integer is of the form 2x + 1, where x is an integer, which is an odd integer.

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The radius of the circle is determined as r = 5.

option B.

The radius of the circle is determined by applying the general formula for circle equation.

(x - h)² + (y - k)² = r²

where;

The given circle equation;

4x² + 4y² = 100

Simplify the equation by dividing through by 4;

x² + y² = 25

x² + y² = 5²

So from the equation above, the radius of the circle corresponds to 5.

r = 5

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Hello! :)

\(\large\boxed{\text{Linear.}}\)

The function pictured is a straight line, so it has a constant slope for all x values.

A function that has the same slope on its domain and when graphed is a straight line is a linear function.

Answer:

See below for explanation

Step-by-step explanation:

The area of an isosceles triangle is \(A=\frac{1}{2}bh\), so let's write the base as an equation of y:

\(\displaystyle 9x^2+4y^2=36\\\\4y^2=36-9x^2\\\\y^2=9-\frac{9}{4}x^2\\\\y=\pm\sqrt{9-\frac{9}{4}x^2\)

As you can see, our ellipse consists of two parts, so the hypotenuse of each cross-section will be \(\displaystyle 2\sqrt{9-\frac{9}{4}x^2\), and each height will be \(\displaystyle \sqrt{9-\frac{9}{4}x^2}\).

Hence, the area function for our cross-sections are:

\(\displaystyle A(x)=\frac{1}{2}bh=\frac{1}{2}\cdot2\sqrt{9-\frac{9}{4}x^2}\cdot\sqrt{9-\frac{9}{4}x^2}=9-\frac{9}{4}x^2\)

Since we'll be integrating with respect to x because the cross-sections are perpendicular to the x-axis, then our bounds will be from -2 to 2 to find the volume:

\(\displaystyle V=\int^2_{-2}\biggr(9-\frac{9}{4}x^2\biggr)\,dx\\\\V=9x-\frac{3}{4}x^3\biggr|^2_{-2}\\\\V=\biggr(9(2)-\frac{3}{4}(2)^3\biggr)-\biggr(9(-2)-\frac{3}{4}(-2)^3\biggr)\\\\V=\biggr(18-\frac{3}{4}(8)\biggr)-\biggr(-18-\frac{3}{4}(-8)\biggr)\\\\V=(18-6)-(-18+6)\\\\V=12-(-12)\\\\V=12+12\\\\V=24\)

Therefore, this explanation confirms that the correct volume is 24!

Answer:

Plot a point at (0,5) the plot a point at (1,8) (2,11) etc...

Step-by-step explanation:

The total area of the composite figure which has triangle and rectangle is  24.41 square inches

The given composite figure has two triangles and one rectangle

Area of rectangle =length × width

=4.6×3.15

=14.49 square inches

Area of left side triangle, it has base of 3.3 in and height 3.15 inches

Area of triangle = 1/2×3.3×3.15

=5.1975 square inches

Area of triangle on right side

Base = 3 in

Height = 6.3-3.15=3.15 in

Area of triangle = 1/2×3×3.15

=4.725 square inches

Total area = 14.49 + 5.1975  + 4.725

=24.41 square inches

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Step-by-step explanation:

The formula for calculating the sum of interior angles is:

(n-2) ×180°

(where n is the number of sides)

1. 900°

2. 1260°

3. 2340°

4. 3600°

5. 6300°

6. 720°

... etc

just say number of sides minus 2 × 180

eg.

10. (100-2) ×180

= 98 × 180

= 17640°

very nice question

thanks for this

GOD BLESS

Answer:

We can see that:

a₀ = 4

a₁ = 4/3

a₂ = 4/9.

We easily can see that the n-th therm of this will be:

aₙ = 4/3^n.

Now, the denominator increases as n increases, then for a really large n, aₙ will tend asymptotically to zero. This means that this summation converges.

We can write this summation as:

4*∑(1/3)^n.

The sum for the first N-th therms is:

We know that for a summation:

1 + r + r^2 + r^3 + ... + r^N = (1 - r^(N + 1))/(1 - r)

4 + 4*(1/3) + 4*(1/3)^2 + ... + 4*(1/3)^N = 4*( 1 - (1/3)^(N + 1))/(1 - (1/3))

Now, for the complete sum we have that:

n = {0, 1, 2, ...}

We know that for a summation:

∑a*r^n

with n = {0, 1, ...}

the sum is = a/(1 + r).

in this case we have:

a = 4, r = 1/3.

Then the sum is:

S = 4/(1 - 1/3) = 4/(2/3) = 3*2 = 6

Answer: 5/6

Step-by-step explanation:

The reciprocal of a number is 1 divided by that number. The reciprocal of 6/5 is 5/6.

Answer:

5/6

Step-by-step explanation:

Well to find a fraction's reciprocal all you need is to flop it like this

6/5 => 5/6

so 5 takes the place of 6 and 6 takes the place of 5

that's how 6/5 turns into 5/6

Answer:

The answer is 15.

Other:

Brainliest? Thanks!

The length of the vine wounded to the tree is 21 feet.

Circumference is the perimeter of a circular object. Therefore,

circumference = 2πr

where

The circumference of the tree is 3 feet. A vine was wound around 7 times .

The length of the vine can be calculated as follows:

Therefore,

circumference = 3 ft

length of the vine = 7 × 3

length of the vine = 21 feet

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If n is a multiple of 8, then n is even, according to commutativity. However, n is not an even number. As a result, n is not a multiple of 8.

Commutativity is a mathematical term that explains sums that can be shifted about and still produce the same solution.

'Commutative' is derived from the term 'commute,' which means to move and go around; thus, commutative equations feature integers that can be moved within the equation.

In mathematics, commutative law is one of two laws relating to number operations of addition and multiplication that are symbolically written as

a + b = b + a and ab = ba.

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option(1), option(2) and option(3) are correct they can be used to prove LMNO a rhombus.

According to the figure attached, we have to select all the options which help us to conclude that LMNO is a rhombus.

A rhombus can be defined as a special parallelogram as it fulfills the requirements of a parallelogram, i.e. a quadrilateral with two pairs of parallel sides. In addition to this, a rhombus has all four sides equal just like a square. That is why it is also known as a tilted square.

The properties of rhombus are:

1) All sides of a rhombus are congruent (equal).

2) Diagonals bisect each other at 90° or we can also say that each of the two diagonals in a rhombus is the perpendicular bisector of the other.

3) Opposite angles are equal and the opposite sides are parallel.

4) Adjacent angle are added up to 180°.

Now, as we look at the options given to us in the question then,

option(1), option(2) and option(3) are correct.

Therefore, option(1), option(2) and option(3) are correct they can be used to prove LMNO a rhombus.

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Answer:A=P{1+r/n}^nt. A is the end value, P the start. r is the rate, divided by n, the number of compoundings per year. t is the number of years.

semiannual is 2 compoundings

A=7000{1+(0.055/2)}^6, the 6 from 2 compoundings a year for 3 years. Do the parentheses first, so that you have 1.0.0257^6. When you get that, multiply by $7000. Round at the end, not intermediate steps.

A=$8237.38

-------------------

A=7000{1+(.055/4)}^12=$8246.48. Notice that what is in the parentheses gets smaller, but it gets raised to a higher power.

-------------------

A=7000{1+(0.055/12)}^36=$8252.64

Answer:

7.008, 7.090, 7.180

Step-by-step explanation:

Given:

Ratio of corresponding sides = 10 : 7

Perimeter of smaller table = 42

Total ratio = 10 + 7 = 17

Let's find the perimeter of the larger table.

Given that both tables are similar, it means the corresponding sides are proportional.

To find the ratio of the larger table, let's first find the total perimeter of the both tables:

Where T represents the total ratio.

Thus, we have:

Divide both sides by 7:

The total perimeter is 102.

To find the permeter of the larger table, we have:

Perimeter of larger table = Total perimeter - perimeter of smaller table.

Perimeter of larger table = 102 - 42

Perimeter of larger table = 60

Therefore, the perimeter of the larger table is 60.

ANSWER:

60

The probability that a girl will be asked to answer the next question would be = 14/25

Probability is defined as the possibility of the outcome of an event which may or may not occur.

The number of girls in Mr. Jacobs 4th grade class = 14

The number of boys in Mr. Jacobs 4th grade class = 11

The total number of students in Mr. Jacobs 4th grade class = 14+11 = 25

Therefore the probability of a girl being asked the next question = 14/25

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Answer: 70%

Step-by-step explanation:

0.7
----- x 100% = 70%

 1

Answer:

70%

Step-by-step explanation:

When turning a decimal into a percent always bring the decimal point two places to the right.

0.7.0.

070%

70%

Answer:

14

Step-by-step explanation:

84/6

Answer:

the 2nd one

Step-by-step explanation:

Sorry if it is wrong

Answer:

Step-by-step explanation:

To find the tip, we first need to calculate 11% of the bill amount, which is:

0.11 x $65 = $7.15

Therefore, the tip is $7.15.

Answer:

$7.15

Step-by-step explanation:

Syep by step picture attached

Answer:

x^2

Step-by-step explanation:

1^2=1

2^2=4

3^2=9

Answer

B 20pi ft 3

Step-by-step explanation:

The line perpendicular to the equation and has the same y-intercept with another is y = - 4 / 3 x + 4.

The equation of a line can be describe as follows:

y = mx + b

where

Therefore, lines that a perpendicular follows the rule below:

m₁m₂ = -1

Hence,

y + 6 = 3 / 4 (x - 2)

y + 6 = 3 / 4 x - 6 / 4

y =  3 / 4 x - 6 / 4 - 6

y = 3 / 4 x - 30 / 4

y = 3 / 4 x - 15 / 2

Hence,

3 / 4 m₂ = -1

m₂ = - 4 / 3

Therefore,

slope of the line is - 4 / 3

Let's find the y-intercept of the second line

4x + 5y -20 = 0

5y = -4x + 20

y = -4 / 5 x + 4

y-intercept  = 4

Therefore, the line perpendicular to the equation and has the same y-intercept with another is y = - 4 / 3 x + 4.

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a. The chart is prepared below.

b. At the end of 4 years, Ross still owes his parents $1,576.92.

To solve this problem, we need to calculate the balance of Ross's loan at the end of each year.

The balance for each year can be calculated by subtracting the yearly payment from the balance at the beginning of the year and adding the interest earned for the year.

The interest for each year is calculated by multiplying the balance at the beginning of the year by the annual interest rate of 3.2%.

Here are the steps for calculating the balance for each year:

Year 1:

Beginning balance = $2,500.00

Interest for the year = $2,500.00 x 0.032 = $80.00

Ending balance = $2,500.00 + $80.00 - $300.00 = $2,280.00

Year 2:

Beginning balance = $2,280.00

Interest for the year = $2,280.00 x 0.032 = $72.96

Ending balance = $2,280.00 + $72.96 - $300.00 = $2,052.96

Year 3:

Beginning balance = $2,052.96

Interest for the year = $2,052.96 x 0.032 = $65.76

Ending balance = $2,052.96 + $65.76 - $300.00 = $1,818.72

Year 4:

Beginning balance = $1,818.72

Interest for the year = $1,818.72 x 0.032 = $58.20

Ending balance = $1,818.72 + $58.20 - $300.00 = $1,576.92

Here's a table that shows the details:

Year ,principal ,Interest rate, interest, Payment ,annual owing

1 $2,500.00 $80.00 $300.00              $2,280.00

2 $2,280.00 $72.96 $300.00              $2,052.96

3 $2,052.96 $65.76 $300.00               $1,818.72

4 $1,818.72         $58.20  $300.00       $1,576.92

b. At the end of 4 years, Ross still owes his parents $1,576.92.

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The matching expressions are:

\(i) 3a x 4 = C (12a)\\ii) a^2 x a = A (a^3)\\iii) 6 × 1/2 a^2 = D (3a^2)\)

i) 3a x 4 can be represented as C (12a) since multiplying 3a by 4 gives 12a.

ii) a^2 x a can be represented as A (a^3) since multiplying a^2 by a gives a^3.

iii) \(6 \times 1/2 a^2\) can be represented as D (3a^2) since multiplying 6 by 1/2 and then by a^2 gives 3a^2.

To understand the matching expressions, let's break down each one:

i) 3a x 4:

This expression represents multiplying a variable, 'a', by a constant, 4. The result is 12a, which matches with C (12a).

ii) a^2 x a:

This expression represents multiplying the square of a variable, 'a', by 'a' itself. This results in a^3, which matches with A (a^3).

iii) 6 × 1/2 a^2:

This expression involves multiplying a constant, 6, by a fraction, 1/2, and then multiplying it by the square of 'a', a^2. The final result is 3a^2, which matches with D (3a^2).

Therefore, the matching expressions are:

i) 3a x 4 = C (12a)

ii) a^2 x a = A (a^3)

iii) 6 × 1/2 a^2 = D (3a^2)

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Answer:

1 hour and 15 minutes=75 mins.

Step-by-step explanation:

Answer: 22 minutes

Step-by-step explanation: m + 2m + m + 7 = 4m + 7

4m + 7 = 50

4m = 44

m = 11

2m = 11 x 2 = 22 minutes

Answer:

9x = 63

x = 63/9

x = 7

hope it helps!

Answer:

7

Step-by-step explanation:

7 times 9 = 63