Graph the image of this figure after a dilation with a scale factor of 1/2 centered at the point (−3, 0).



Use the polygon tool to graph the dilated figure.

(See attached image for details.)

Graph The Image Of This Figure After A Dilation With A Scale Factor Of 1/2 Centered At The Point (3,

Answers

Answer 1

The vertices of the image of dilation are (4, 2), (-1, 2) and (3, 4)

How to graph the dilated image?

The given parameters are:

Center, (a, b) = (-3, 0)

Scale factor, k = 1/2

The vertices of the figure are

(5,4), (-5, 4) and (3,8)

The rule of dilation is represented as:

(x, y) ⇒ (k(x -a), k(y -b))

So, we have:

Point (5,4)

(x, y) ⇒ (1/2(5 + 3), 1/2(4 -0))

(x, y) ⇒ (4, 2)

Point (-5,4)

(x, y) ⇒ (1/2(-5 + 3), 1/2(4 -0))

(x, y) ⇒ (-1, 2)

Point (3,8)

(x, y) ⇒ (1/2(3 + 3), 1/2(8 -0))

(x, y) ⇒ (3, 4)

So, the vertices of the image of dilation are (4, 2), (-1, 2) and (3, 4)

See attachment for the image

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Graph The Image Of This Figure After A Dilation With A Scale Factor Of 1/2 Centered At The Point (3,

Related Questions

Which set of equations has 3, 1 as its solution

Answers

Answer:

D.) A and D

Step-by-step explanation:

To find which set of equations has the solution (3,1), you need to identify where on the graph this point lies. Remember, in a point, the first number listed (3) is the "x" value and the second number (1) is the "y" value.

First, look for x = 3. This is the number located on the x-axis (horizontal line).

From this spot, since y = 1, move up 1 unit.

At this point, two lines intersect. These lines are lines A and D.

¿Es necesario que los triángulos congruentes tengan el mismo tamaño?

Answers

I don't understand your question

Sorry!!! :)

Norman plants a garden each
year. This year, his garden
produced 40% fewer tomatoes
than it did last year. If Norman’s
garden produced 30 tomatoes
this year, how many tomatoes
did his garden produce last year?

Answers

Answer:

50

Step-by-step explanation:

if last year 100% of the tomatoes were produced and this year 40% less were produced then that would mean 60% of tomatoes were produced this year.

if 60% = 30 then

100% = ?

100x30÷60

FIND X AND Y. PLEASE HELP! I WILL GIVE BRAINLIEST!!!

Answers

Answer:

x = 20, y = 60

Explanation:

Angles which lie in a straight line sum ups to 180°

3x + 3x + 3x = 180

9x = 180

x = 180/9

x = 20

Using the same theorem,

3x + y + 3x = 180

3(20) + y + 3(20) = 180

60 + 60 + y = 180

120 + y = 180

y = 180 - 120

y = 60

or

y = 3x

y = 3(20)

y = 60

The value of x is 20° and the value of y is 60°.

What is the vertical angles theorem?

According to this theorem, when two straight lines cross, they create two sets of linear pairs with matching angles. The adjacent angles created by the junction of these two lines are likewise said to be supplementary, or equivalent to 180 degrees.

As per the vertical angles theorem and vertical angles theorem,

the two angle equations as per the opposite angle and supplementary angles.

3x + 3x + 3x = 180

9x = 180

x = 180/9

x = 20

And another equation can be described as,

3x + y + 3x = 180

6x + y = 180

6(20) + y = 180

y = 180 - 120

y = 60

Therefore, x = 20 degrees and y = 60 degrees.

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Kevin and Randy Muise have a jar containing 65 ​coins, all of which are either quarters or nickels. The total value of the coins in the jar is ​$8.65 How many of each type of coin do they​ have?

Answers

The number of quarters or nickels Kevin and Randy Muise have in the jar is 27 and 38 respectively.

Simultaneous equation

A nickel = 5 centsA quarter = 25 cents

n + q = 65

0.05n + 0.25q = 8.65

From equation (1)

n = 65 - q

substitute n = 65 - q into (2)

0.05n + 0.25q = 8.65

0.05(65 - q) + 0.25q = 8.65

3.25 - 0.05q + 0.25q = 8.65

- 0.05q + 0.25q = 8.65 - 3.25

0.20q = 5.40

q = 5.40/0.20

q = 27

Substitute into (1)

n + q = 65

n + 27 = 65

n = 65 - 27

n = 38

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Please help thank you

Answers

Answer:

Line A: 4

Line B: -2

Step-by-step explanation:

Line A

Pick any two points from the graph such as (2, -1) and (3, 3)

Use the gradient formula to calculate the gradient:

Change in y/change in x

-1 -3/2-3 = -4/-1 = 4

The gradient of line A is 4

Line B

(1, -1) and (0, 1)

-1 - 1/1 - 0 = -2/1 = -2

The gradient of line B is -2

Answer:

Line A is 4.

Line B is -2.

Step-by-step explanation:

See attached image

Which is an exponential decay function

Answers

Answer:

should be either b or c

Step-by-step explanation:

ee ni mee ni my nee mo

An exponential decay function has the form y = ka^x where a is between 0 and 1

In the first answer a > 1 so it is an exponential growth function

In the second answer (4/5)^-x = (5/4)^x so again a growth function

In the third answer (8/7)^-x = (7/8)^x so this is an exponential decay function

PLEASE HELP!! WILL GIVE BRAINLYEST AWARD TO 1st RIGHT!!

Answers

Answer:

-11 < x < 7

(first option listed)

Step-by-step explanation:

we know that x² + 4x < 77

first, we should rewrite our expression in standard

x² + 4x - 77 < 0

factor {find two numbers that multiply to c (77) and add to b (4)  }

(x - 7) (x + 11) < 0

set both roots to 0:

x - 7 < 0

  + 7  + 7

x < 7

x + 11 < 0

x > -11

so, x will be < 7 and > -11

which can be expressed as

-11 < x < 7

So, -11 < x < 7

Answer:

-11 < x < 7

Step-by-step explanation:

1st option;

what is the logarthic form ​

Answers

Answer:

Step-by-step explanation:

The answer is (C).

It takes 405 bricks to build 1 wall of a room. If there are 5 rooms (with 4 walls each), how many bricks will be needed to build all the walls?

Answers

Answer:

Bricks for 1 wall= 405

If there are 5 rooms with 4 walls,

Walls= 5 x 4= 20

Bricks= 405 x 20

= 8100

Mark me the brainliest pleeeeeaseee :)

8,100
Multiply the number of bricks by the number of walls and then by the number of rooms

Determine the period.

Answers

Determine the period

Which inequalities are true? Select the four correct answers.
O√5<23<√6
O√5<24<√6
O√4<√5<√√55
O√√8 <3<√9
O√8<2.9<√√9
O√4 <45<√√5

Answers

The correct anwer is option C and option E which are √4<√5<√√55 and √8<2.9<√√9.

What is inequality?

Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.

The two inequalities √4<√5<√√55 and √8<2.9<√√9. are true.

√4<√5<√√55  → 2 < 2.23 < 7.41

√8<2.9<√√9    → 2.82 < 2.9 < 3

Therefore correct answers is option C and option E which are √4<√5<√√55 and √8<2.9<√√9.

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Which are two possible reasons for the change within the frog population?


–3.2, 4.8, –7.2, 10.8, …

Answers

The given sequence;–3.2, 4.8, –7.2, 10.8, is a geometric progression common ratio of -1.5.

What is a geometric series?

When all the terms of a geometric sequence are added, then that expression is called geometric series.

The given sequence ;

–3.2, 4.8, –7.2, 10.8, …

The common ratio

= -4.8/ 3.2

= - 1.5

The terms having a common ratio of -1.5 best describe the relationship between the successive terms in the sequence of the terms.

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Find the area of a circle with radius,
r
= 7.15m.
Give your answer rounded to 2 DP.

Answers

[tex] \boxed{\Large {\mathcal {{{\color{orange}{Area \: of \: circle \: = \: πr²}}}}}}[/tex]

r = 7.15m

[tex]\large \rm \pink{ \: Area \: of \: circle }\:\large\blue\implies \tt \large πr²\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \large \rm \pink{ \: Area \: of \: circle }\:\large\blue\implies \tt \large \frac{22}{7} \: \times\:{7.15}^{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\\large \rm \pink{ \: Area \: of \: circle }\:\large\blue\implies \tt \large \frac{22}{7} \: \times\:51.1225 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \large \rm \pink{ \: Area \: of \: circle }\:\large\blue\implies \tt \large \frac{22}{ \cancel7} \: \times\: \cancel{51.1225} \: \: ^{ \red{7.303} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \large \rm \pink{ \:Area \: of \: circle }\:\large\blue\implies \tt \large {22} \: \times\:7.303 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \large \rm \pink{ \: Area \: of \: circle }\:\large\blue\implies \tt \large \: 160.666 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

Hence , the area of circle is 160.66

Given :-

Radius of circle = 7.15m

To Find :-

Area of circle

Solution :-

Area of Circle = πr²

putting the value of π and r

Area = 3.14×(7.15)² m²

= 160.52465 , which rounded off to 2DP would be 160.52

Really confused about this one anyone mind to help 100 points

Answers

Answer:

9(x - 5)

Step-by-step explanation:

Just write the equation according to the sentence. It's THAT SIMPLE.

Answer:

d

Step-by-step explanation:

what is the mean of 4,7

Answers

Answer:5.5

Step-by-step explanation:first we have to plus 4 and 7 and then we to divide the answer we get by 2 because there are only 2 digits and then the mean is 5.5

hope it helps

4 questions! Write an equation in slope-intercept form for each of the following:
1) Slope -4 ; y-intercept 6
2) Slope 3 ; passes through (2,5)
3) (1,-1) , (-2,0)
4) (0,0) (4 - 3 1/2)
These are practice questions! ASAP!

Answers

1) y= -4x+c

2) y= 3x+c replace x and y to find c , 5=3(2)+c
C= -1
Y=3x-1

3) find slope first m=y2-y1/x2-x1 = 0-(-1)/-2-1 = 1/-3 and now you have y= -1/3x+c to find c just replace any of the given points , 0= -1/3(-2)+c
C= -2/3 and so y= -1/3x-2/3

4) DO THE SAME STEP AS NUMBER 3 and enjoy!

whats the y-inter of the line? interpet the y-inter in the context of the problem

Answers

Answer:

How do you interpret the y-intercept in the context of the problem?

The y-intercept of a line is the value of y where the line crosses the y-axis. In other words, it is the value of y when the value of x is equal to 0. Sometimes this has true meaning for the model that the line provides, but other times it is meaningless.

Step-by-step explanation:

A quadratic function and an exponential function are graphed below. How do the decay rates of the functions compare over the interval
The exponential function decays at one-half the rate of the quadratic function.
The exponential function decays at the same rate as the quadratic function.
The exponential function decays at two-thirds the rate of the quadratic function.
The exponential function decays at three-fourths the rate of the quadratic function.

Answers

Answer:

The ratio of decay rates is 3:4. So, option D is correct.

Step-by-step explanation:

Concept: The Decay rate for any  function can be calculated by the formula Decay rate = Difference in y values / Difference in x values in given interval

Decay Rate for the exponential function in the interval -2 ≤ x ≤ 0 is (4-1) / (-2-0) = 3/2.

Decay rate for quadratic function in same interval = [(4-0) ÷ -(-2-0)] = 2.

Ratio of decay rates = (3/2) : (2) = 3:4

Option D, the exponential function decays at three-fourths the rate of the quadratic function is the correct answer.

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Population 422 increasing by 10 people per year. Write an equation to determine the population (y) after any number of years (x).

Answers

Answer:

y = 10x + 422

Step-by-step explanation:

Which piecewise defined function is shown on the
graph?
f(x) =
f(x)
f(x)=
f(x) =
DONE
x+ 2, if 0 < x <4
x-3,if 4 < x <8
x+2, if 0≤x≤4
x-3,if 4 ≤x≤8
Intro
x+2, if 0 < x≤4
x-3, if 4 < x≤8
[x+2,if 0≤x <4
x-3, if 4 < x <8
10
8
20
2
9
8
x
10

Answers

Answer: (4)

Step-by-step explanation:

The first part has a closed hole at x=0 and an open hole at x=4, so it should be [tex]0 \leq x < 4[/tex].

This eliminates all the options except for (4).

The piecewise function that represents the graph will be f(x) = x + 2, 0 ≤ x < 4 and f(x) = x - 3, 4 ≤ x < 8. Then the correct option is D.

What is a function?

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

A function that is based on a series of intervals is known as a specific goal. The absolute value serves as a frequent illustration. Other piecewise functions include the Boolean stepping, rectangle, and triangle functions.

The slope of the line is one. And the y-intercept is 2 and -3. Then the equation of the line is given as,

f(x) = x + 2, 0 ≤ x < 4

f(x) = x - 3, 4 ≤ x < 8

The piecewise function that represents the graph will be f(x) = x + 2, 0 ≤ x < 4 and f(x) = x - 3, 4 ≤ x < 8. Then the correct option is D.

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__________ typically are used to display continuous measures.

Answers

Answer: Histograms

Histograms typically are used to display continuous measures.

The histograms typically are used to display continuous measures.

Charts Types

There are different types of charts: histogram, line chart, pie chart, and others.

The histogram is a type of chart used as a tool that provides a way to assess the distribution of data. From this type of chart, a set of data are previously tabulated and divided into classes. In the other words, the histogram is applied to summarize discrete or continuous measures, so it becomes more easily the understand the used data. There are many websites and software that allow the plot of this type of chart.

From the explanation, it is possible to identify the histograms typically are used to display continuous measures.

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80 pupils in a sports centre are surveyed. the pupils can only use the swimming pool and the gym. 32 pupils use the swimming pool. 43 pupils use the gym. 19 pupils use neither the swimming pool nor the gym. find the probability to select a pupil that uses the swimming pool but not the gym.

Answers

[tex]\frac{18}{80}[/tex] is the probability of pupil that uses the swimming pool but not the gym.

It is given that:

Total students are 80

32 pupils use the swimming pool

43 pupils use the gym

19 pupils use neither the swimming pool nor the gym

To know the pupils who use both add 32+43 = 75

75-61= 14 pupils use both

32-14 = 18 pupils use only the swimming pool

43-18= 29 pupils use only the gym

Hence, [tex]\frac{18}{80}[/tex] is the probability of pupil that uses the swimming pool but not the gym.

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Kelly brought a pair of sneakers for 35.00 she also brought a pile of different laces. Each set of laces,l, costs 3.00. Write a variable expression to show how Kelly could calculate her total cost

Answers

Answer:

35+3I

Step-by-step explanation:

35+3I

35+3I is the adneee

A bag contains four red apples and six green apples. Alex takes out three apples from the bag at random, one after the other, without replacement. A) Draw a tree diagram to represent the possible outcomes. B) Determine the probability that Alex takes out three red apples. C) Determine the probability that Alex takes out one green apple and two red apples.

Answers

The probability that Alex takes out three red apples is 1/30.

The probability that Alex takes out one green apple and two red apples is 1/10.

What are the probabilities?

The probability that Alex takes out three red apples = (number of red apples / total number of apples) x (number of red apples - 1 / total number of apples - 1) x (number of red apples - 2 / total number of apples - 2)

4/10 x 3/9 x 2 /8 = 1 / 30

The probability that Alex takes out one green apple and two red apples = (number of green apples / total number of apples) x (number of red apples / total number of apples - 1) x (number of red apples - 1 / total number of apples - 2)

6/10 x 4/9 x 3/8 = 1 / 10

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Summer looked at the formula for the Pythagorean Theorem, a2 + b2 = c2, she said that it didn’t matter which sides of a right triangle were a, b, and c. Is she correct?

Answers

Answer:

Summer is incorrect

Step-by-step explanation:

It definitely matters which side is side "c".  Side "c" must be the hypotenuse (the side across from the right angle).

The other two sides are the legs (sides touching the right angle), and either leg can be "a" or "b", but the hypotenuse must be "c".

Take the equation, a² + b² = c², and subtract c² from both sides:

[tex]a^{2} +b^{2} -c^{2} =0[/tex]

It won't matter which leg is "a" or "b", because of the commutative property of addition.  Note that "a²" and "b²" are added together, and due to the commutative property of addition, we can add in either order and get the same result.

However, since the c² term is connected by subtraction, and subtraction doesn't have a commutative property, it can't be subtracted in any order.  Meaning which side it is is important.

help______________________________________

Answers

The right step followed in the system to get he equations is (D). To get the system B. The second equation in system A was replaced by the sum of that equation and the first equation multiplied by 6. The solution to system B will be the same as the solution of system A.

Meaning of Simultaneous Equation.

A simultaneous equation can be defined as an equation that possesses two unknowns and one constant.

The solution to the problem can only be gotten by solving it side by side with another equation of the same format.

In conclusion, The right step followed in the system to get he equations is (D). To get the system B. The second equation in system A was replaced by the sum of that equation and the first equation multiplied by 6. The solution to system B will be the same as the solution of system A.

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Estimate the Value of 196/0.499

Answers

Answer:

The value of the expression will be "392.79".

Step-by-step explanation:

~ The technique of dividing a quantities into equivalent portions as well as    determining however many equal components may be formed, is determined as a division.

~ It is denoted by "/".

According to the equation, the expression is:

→ 196/0.499

By applying the division, we get

→ 392.79

Answer:

392

Explanation:

Note that we are estimating, not finding the actual value. 0.499 is very close to 0.5, so to estimate this expression, we can do 196 ÷ 0.5. Dividing a number by 0.5 is the same as doubling it, so this can also be seen as
196 · 2, which is 392.

Hope this helps !! :D
The actual answer is the other one, but again, you're finding an estimate!

Over a females lifetime, how many eggs will mature and travel to the uterus? 4 hundred thousand 5 hundred 4 hundred 3 hundred thousand

Answers

Over a female lifetime, about 300 hundred to 400 hundred will mature and travel to the uterus

How many eggs reach maturation and transfer to the uterus in a female lifetime?

At birth, about 1 million eggs are present but by the period a person reaches adolescence, only about 300,000 are still there since a lot of follicles and oocytes would have been engaged to start the development and maturation process.

Only about three hundred to four hundred of them will ripe and ovulate over a woman's reproductive lifespan due to the decline in a woman's fertility as she matures.

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The data set represents the number of minutes dan spent on his homework each night. 30, 35, 35, 45, 46, 46, 52, 55, 57 which box plot correctly represents the data?.

Answers

The box plot first represents the data set option first is correct the third quartile lies between 52 to 54.

What is the box and whisker plot?

A box and whisker plot is a method of abstracting a set of data that is approximated using an interval scale. It's also known as a box plot. These are primarily used to interpret data.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have data set:

30, 35, 35, 45, 46, 46, 52, 55, 57

We can find below details from the data set:

Population size = 9

Minimum: 30

First quartile: 35

Median = 46

Third quartile = 53.5

Interquartile Range = 18.5

Maximum = 57

Outliers = none

Thus, the box plot first represents the data set option first is correct.

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