5
Polygon ABCD and polygon WXYZ can be mapped onto each other using similarity transformations.
DCD fell
20
18
16
14
12
VA
10
8
6
4
2
D
AS
B
X
dilatio
Y
Which sequence of transformations maps polygon ABCD onto polygon WXYZ?
➜x
0 2 4 6 8 10 12 14 16 18 20
W
mago with
actor of OF

Answer:

the measurement of the circumference of a circle is 21

The area of the triangle is found as 12 unit².

A triangle is a three-sided polygon with three sides that closes a space.

The formula for the area of the triangle is;

Area of triangle= ½ × base × height

The base is given as 6 units and the height is 4 units. (count 1 column of graph as 1 unit).

Put the values in formula.

Area of triangle = ½(6)(4)

Area of triangle = 12 unit.²

Therefore, the area of the triangle is found as 12 unit.²

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Answer:

11 inches of wire will cost 66 cents

Step-by-step explanation:

14 inches - 84 cents

find unit rate by dividing 84 by 14

84/14=6

so is is 6 cents per inch

so multiply 6 by 11

11 inches of wire will cost 66 cents

Answer:

Oldest to newest:

10^-35, 10 ^-10, 0

Step-by-step explanation:

Scientific notation

To figure out the power of 10 think "how many places do I move the decimal point?"

When the number is 10 or greater the decimal point moves to the left, and the power of 10 is positive.

When the number is smaller than 1 the decimal point moves to the right, so the power of 10 is negative.

Answer:

The width is 3 feet and the height is 6 feet.

Step-by-step explanation:

The answers to the questions are:

This is the term that is used to refer to the graphical representation of a frequency distribution. It helps to show us the frequency that the details in the class would have to fall under.

For example, the most frequent outcome can be seen as the one that has the highest point on the graph. We can see the highest point as 7 and its frequency is 20.

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Answer:

A. 7

B. 12

C. 15

D. 16

E. 15%
F. Bell-shaped

Answer:

7.4

Step-by-step explanation:

When the decimal in any place is more than 0.5, round up.

Three rational numbers between

1/3 and 1/5 are 4/15, 3/10, and 7/30

Given:The two numbers are 1/3 and 1/5

To find:The rational number between two numbers

Solution:Now, to find the rational number, add the numbers and divide their sum by 2.

(i) First rational number between

1/3, 1/5 = 1/3+1/5=8/5

Divide 18/5 by 2------> 8/15 x 1/2= 8/30= 4/15

The series becomes, 1/3, 4/15, 1/5

(ii) Second rational number

= 4/15+1/5 = 7/15

Divide

7/15 by 2 ------> 7/15 x 1/2 = 7/30

Hope this helps!

The Equation of the tangent line is y = 4x - 1.

According to the statement

We have to find that the equation of the tangent of the line.

So, For this purpose, we know that the

Equation of the tangent line can be found using the formula y – y1 = m (x – x1), where m is the slope and (x1, y1) is the coordinate points of the line.

From the given information:

f(x) = 3 X at (1, 3)

Then

The tangent line of a curve y = f(x) is a line that touches the curve at a point (x0, y0). Its slope (m) is found by substituting the point where it is drawn in the derivative f'(x) and its equation is found by using y - y0 = m (x - x0).

From the given it is clear that the slope of the equation is a 3.

Then m = 3

then

y – y1 = m (x – x1)

Substitute the points here

y - 3 = 4(x - 1)

Then

y = 4x - 4 +3

y = 4x - 1.

So, The Equation of the tangent line is y = 4x - 1.

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Answer:

93

Step-by-step explanation:

13 + 26 = 39

39 + 54 = 93

Answer :

1) If x = 6

Substitute 6 for x in the expression.

a) 5x-9

5(6)-9

30-9

21

b) 2x-7

2(6) -7

12-7

5

c) 8x+5

8(6)+5

48+5

53

d) 4(x+3)

4(6+3)

4(9)

36

e) x²-(-4)

6²-(-4)

36+4

40

f) 3x²+1

3(6²)+1

3(36) +1

108+1

109

2) Solve

a) 54 = 3x

Divide both sides by 3.

54/3 = 3x/3

x = 18

b) x-9 = -3

Add 9 to both sides.

x-9+9 = -3+9

x = 6

c) x/7 = 140

Express the 140 over 1 and cross multiply.

x/7 = 140/1

x = 140×7

x = 980

d) x/8 = 72

Express the 72 over 1 and cross multiply.

x/8 =72/1

x = 72×8

x = 576

Answer:

x=±7; y=12.25.

Step-by-step explanation:

1) x-interception:
(y=0): x²=49, ⇒ x=±7;

2) y-interception:

(x=0):  4y=49; ⇒ y=12.25.

Answer:

the action of inflating something or the condition of being inflated.

"the inflation of a balloon"

ASTRONOMY

(in some theories of cosmology) a very brief exponential expansion of the universe postulated to have interrupted the standard linear expansion shortly after the Big Bang.

2.

ECONOMICS

a general increase in prices and fall in the purchasing value of money.

"policies aimed at controlling inflation"

Answer:

[tex]R=\{0,3,4\}[/tex]

Step-by-step explanation:

We can find the range by finding the set of values the function takes for each element in the domain.

[tex]F(-4)=|-4|=4 \\ \\ F(0)=|0|=0 \\ \\ F(3)=|3|=3 \\ \\ \therefore R=\{0,3,4\}[/tex]

The domain and the range of the function are

From the question, we have the following parameters that can be used in our computation:

f(x) = |x|

The rule of a function is that

Using the above as a guide, we have the following:

Domain, D = {-4,0,-3}

Range, R = {4,0,3}

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Answer:

The rightmost figure

Step-by-step explanation:

That is the only figure where there are 4 points of intersection. It is a rhombus inscribed in a square

The size of the final payment is $5378.08

P1 = One loan payment = $4000

P2 = Second loan payment = $6000

P3 = Payment = $5000

Let P4 = Second payment

n1 = 200 days

n2 = 63 days

n3 = 92 days

r = Interest rate = 8.3%

[P1 * (1+ (r * n1 /365))] + [P2 * (1+ (r * n2 /365))] = P3 + [P4 / (1+(r*n3/365)]

[$4000 * (1+(8.3%*200/365)] + [$6000 * (1+(8.3%*63/365)] = $5000 + [P4 / (1+(8.3%*92/365))]

[$4000 * 1.04547945] + [$6000 * 1.01432603] = $5000 + [P4 / 1.02092055]

$4181.9178 + $6085.95618 = $5000 + [P4/1.02092055]

P4/1.02092055 = $5267.87398

P4 = $5378.080801

Therefore, the size of the final payment is $5378.08

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Answer:

78.99

Step-by-step explanation:

Rounding to the 2nd decimal place the number 78.987625

Write down everything upto and including the 2nd decimal: 78.98

Check out the next digit. If >= 5, then increase the 2nd decimal digit above by 1, if not leave it as is.

For 78.987625 the digit next to the 2 decimal digit is 7 so we increase 78.98 to 78.99

The solution of the geometrical system is (x, y) = (2.5, 48.5).

In this question we have a picture representing two lines and a semirray that brings out two formulae for supplementary angles, these are shown below:

(x + 10) + 30 + (3 · y + 2) = 180

x + 3 · y = 148         (1)

30 + (3 · y + 2) + (5 · x - 10) = 180

5 · x + 3 · y = 158    (2)

And now we resolve the entire system of linear equations by substitution:

By (1):

x = 148 - 3 · y

(1) in (2):

5 · (148 - 3 · y) + 3 · y = 158

740 - 15 · y + 3 · y = 158

12 · y = 582

y = 48.5

By (1):

x = 148 - 3 · 48.5

x = 2.5

The solution of the geometrical system is (x, y) = (2.5, 48.5).

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Answer: y=3x-6

Step-by-step explanation:

ANSWER:y=1/(3x-6)

Step-by-step explanation:

i think you are asking for the change of subject of formula(Transposition of subjects).

x=1/3y+2

multiply both sides by 3y

x × 3y=1/3y × 3y + 2 × 3y

3xy=1+6y

collect like terms

3xy-6y=1

fractionalize

y(3x-6)=1

divide both sides by (3x-6)

y=1/(3x-6)

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Answer:

2(w+11w)=1680

Step-by-step explanation:

If the width is w, then the length is 11w.

Using the formula for the perimeter of the rectangle, the equation is 2(w+11w)=1680

The following mistakes were made in the solution of the inverse function:

Therefore, the first error is caused by the incorrect variable swap.

The correct expression is:

The following error is:

The correct expression:

Finally, the domain is incorrect.

As a result, the following errors were made in the inverse function solution:

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The correct question is given below:
Identify the errors made in finding the inverse of y = x2 + 12x.

Describe the three errors.

[tex]1/3 \longrightarrow 0.33 \\ \\ 1/2 \longrightarrow 0.50 \\ \\ 1/4 \longrightarrow 0.25 \\ \\ 3/4 \longrightarrow 0.75 \\ \\ 2/3 \longrightarrow 0.66[/tex]

Using a proportional relationship, the fewest number of vegetables that can be used to make this salad is:

C. 4

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

For this problem, looming at the table, we have that the number of Broccoli is triple the number of carrots, hence the proportional function is:

B = 3C.

When there is one carrot, the number of broccoli is given by:

B = 3 x 1 = 3.

Hence the fewest number of vegetables is of 4, as 1 carrot + 3 broccoli = 4 vegetables, hence option C is correct.

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The volume of the solid thus formed is [tex]\frac{26}{27} \pi[/tex] .

Let us think of any region that is enclosed by a function g(x) and the x-axis between x=a and x=b. If this region is rotated about the x-axis, the solid of rotation that results can be thought of as consisting of thin cylindrical discs with a width of dx and a radius of g (x). Therefore, by integrating the volume of this disc, the whole volume of the solid will be revealed.

Volume=[tex]\int^{a}_{b}\pi [g(x)]^2dx[/tex]

The given function is g(x)=(1/3)x+2 ranging from x=1 to x=3

Therefore volume of the solid formed is:

[tex]\int^{3}_{1}\pi [\frac{1}{3}x]^2dx\\=\int^{3}_{1}\pi [\frac{1}{9}x^2]dx\\=\pi \int^{3}_{1} [\frac{1}{9}x^2]dx\\\\=\pi [\frac{1}{27}x^3 ]^3_1\\= \frac{26}{27} \pi[/tex]

The volume of the solid thus formed is [tex]\frac{26}{27} \pi[/tex] .

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Answer:

work is shown and pictured

The required number is 2001.

To solve this problem we need to know the concept of rounding off.

Rounding off a number means making the value of number equal to the nearest tens place.

When we round off 45 we will get 50; when we round off 44 we get 40.

So, if a number has 5 at its unit place then it will be rounded off to the tens place which is ahead of 5 and if a number is less than 5 then it is rounded off to the tens place before that number.

Here it is asked to find the least whole number that rounds off to 2000 when rounded off to nearest hundred which will be 2001.

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