Right triangle PQR has sides of length 6 units, 8 units, and 10 units. The triangle is dilated by a scale factor of 4 about point Q. What is the area of triangle P’Q’R’?

Helpp plss

Answers

Answer 1

The area of the triangle P’Q’R’ is 384 square units

The formula for calculating the area of a triangle is expressed as:

A = 0.5bhb is the base of the triangleh is the height of the triangle.

If the right triangle PQR has sides of length 6 units, 8 units, and 10 units is dilated by a scale factor of 4 units, hence:

base = 4(6) = 24 unitsheight = 4(8) = 32 units

Area of the triangle P’Q’R’ = 0.5(24)(32)

Area of the triangle P’Q’R’ = 384 square units

Hence the area of the triangle P’Q’R’ is 384 square units

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Related Questions

A landscaping company placed two orders with a nursery. First order was 5 bushes and 8 trees,and totaled $374.The second order was for 9 bushes and 2 trees, and totaled $202.The bills do not lost pre-item price.What were the costs of one bush and of one tree?

Answers

Answer:For one bush it would be $185 and for one tree it would be $189.

Step-by-step explanation:185 + 189 = 374

What is the answer to -6a(2b + 5c) In distributive Property?

Answers

Answer:

-12ab-30ac

Step-by-step explanation:

Hi. Please i need help with this . No jokes .

Answers

Answer:

I) The roots are:

First Case:

[tex]x=-2\text{ or } x=-6[/tex]

Second Case:

[tex]x=2\text{ or } x=6[/tex]

II) Possible values of p are:

First Case:

[tex]p=-12[/tex]

Second Case:

[tex]p=4[/tex]

Step-by-step explanation:

We have the equation:

[tex]x^2-(4+p)x+12=0[/tex]

We know that one of the roots is three times the other.

And we want to find the roots of the equation and the possible values for p.

To find our solutions, we can use the process of factoring.

If we have an equation in the form:

[tex]x^2+bx+c=0[/tex]

We want to find two numbers, say, k and j, such that:

[tex]\displaystytle kj=c\text{ and } k+j=b[/tex]

After finding them, we can factor as such:

[tex](x+k)(x+j)[/tex]

So, -k and -j will be our zeros.

Therefore, for our equation, we will find two numbers k and j such that:

[tex]\displaystyle kj=12\text{ and } k+j=-(4+p)[/tex]

Notice that for the first criterion, we can simply list all the factors of 12.

So, according to the first equation, possible values of k and j are:

1 and 12; 2 and 6; or 3 and 4.

Then, our roots will be -1 and -12; -2 and -6; or -3 and -4, respectively.

However, remember that one of our roots is three times the other.

Therefore, the only candidates that work will be the second option.

Hence, k and j are 2 and 6.

Therefore:

[tex]k=2\text{ and } j=6[/tex]

With this information, we can now determine p. Since:

[tex]k+j=-(4+p)[/tex]

Then it follows that:

[tex]\begin{aligned}(2)+(6)&=-(4+p)\\8&=-(4+p)\\-8&=4+p\\p&=-12\end{aligned}[/tex]

Hence, our equation is:

[tex]x^2-(4+-12)x+12=0[/tex]

Or, factored:

[tex]x^2+8x+12=0 \text{ or } (x+6)(x+2)=0[/tex]

So, our roots are x=-6 and x=-2 when p=-12.

However, we also need to consider the negative factors of 12.

Factors of 12 also include -2 and -6.

Hence, our k and j can also be k=-2 and j=-6.

Then, in this case, our p is :

[tex]\begin{aligned} (-2)+(-6)&=-(4+p)\\-8&=-(4+p)\\8&=4+p\\p&=4\end{aligned}[/tex]

Therefore, for our second case, k=-2 and j=-6. Then p=4. So, our equation is:

[tex]x^2-(4+4)x+12=0[/tex]

Or, factored:

[tex]x^2-8x+12\text{ or } (x-2)(x-6)=0[/tex]

Hence, when p=4, our roots are x=2 and x=6.

Finish solving the system of equations X -5 y =6 and-x+2y=_3 what is the value of y substitute the value of y back into one of the original equation to find the value of x what is the value of x

Answers

please see my steps to work this problem

What is c?



1.51=c10

c = can someone explain I'm a little confused >

Answers

Answer:

0.151

Step-by-step explanation:

1.51=c10

we divide 10 by both sides

1.51/10 = c10/10

we cancel 10/10 and 1.51/10=0.151

so

c=0.151

tell me if u need a more clear explanation

Answer: 15 hope this help's and if not please give a bad rating

Calculate the sales tax for each item.
1. A sweater for $19.99 and a 6% sales tax. _______________________________________
2. A purse for $45.00 and a 5% sales tax.___________________________________________
3. A bicycle for $120.00 and a 7% sales tax.________________________________________
4. A TV for $3000.00 and a 4% sales tax.___________________________________________
5. A radio for $35.00 and a 6% sales tax.____________________________________________

Answers

Answer:

$19.99 + $1.19 tax = $21.18$45.00 + $2.25 tax = $45.25$120.00 + $8.40 tax = $128.40$3,000.00 +$120.00 tax = $3,120.00$ 35.00 + $2.10 tax = $37.10

1. The sales tax of a sweater = $1.2

2. The sales tax of a purse = $2.25

3. The sales tax of a bicycle =  $8.4

4. The sales tax of a TV = $120

5. The sales tax of a radio = $2.1

What is a percentage?

A ratio or value that may be stated as a fraction of 100 is called a percentage. Moreover, it is indicated by the symbol "%."

Given:

1. A sweater for $19.99 and a 6% sales tax.

The sales tax of a sweater = 19.99 x 0.06 = $1.2

2. A purse for $45.00 and a 5% sales tax.

The sales tax of a purse = 45 x 0.05 = $2.25

3. A bicycle for $120.00 and a 7% sales tax.

The sales tax of a bicycle = 120 x 0.07 = $8.4

4. A TV for $3000.00 and a 4% sales tax.

The sales tax of a TV = 3000 x 0.04 = $120

5. A radio for $35.00 and a 6% sales tax.

The sales tax of a radio = 35 x 0.06 = $2.1

Therefore, all the required sales tax is given above.

To learn more about the percentage;

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If you can help me on these I’ll give you brainliest

Answers

Answer:

B

Step-by-step explanation:

Your body temperature increases when you are awake and it looks like the slope increases at around hour 34.

Answer:

B) a long-term from of torpor

Fill in the table using this function rule.
y=29-4x

Answers

Answer:

x.1 y.25

x.3 y.17

x.5 y.9

x.6 y.5

Step-by-step explanation:

Determine whether the relation is a function. Quick EMERGENCY ​

Answers

Answer

no

Explanation

.

Answer:

Not a function

Step-by-step explanation:

A function is supposed to be one input, one output, and an input can't have two different answers. The input 3 wields two different answers, so it can't be a function

Cuantos metros de valla necesitare para cercar una finca cuadrada de 54,3 de lado? por favor....

Answers

Answer:

217,2 m

Step-by-step explanation:

Si el lado de la finca mide 54,3 m y la finca es cuadrada entonces:

1.-El área de la finca es:

A = L²

Y el perimetro de un cuadrado es P = 4*L

Entonces

P = 4 * 54,3

P = 217,2 m

A player can move from point to point only in a direction that includes a downward motion (slanted or not). In how many distinct ways can a player move from the top to bottom? (See picture)

Answers

Answer:

12

Step-by-step explanation:

2 + 3 + 7 pathways = 12 :)

Answer:

11

Step-by-step explanation:

a

What is the slope of the line that is perpendicular to the line containing the points (5,-2) and (8,-3)?

Answers

Answer:

3

Step-by-step explanation:

m=y2-y1/x2-x1

-3+2/8-5

-1/3

perp. = negative reciprocal

3

lines b and c are parallel. What is the measure of angle 6?

Answers

Answer:

m<6=126

Step-by-step explanation:

54

Explanation: x=9, angle 6= 9(x)+9

While organizing her DVD collection, Jessica put 5 DVDs on the first rack, 10 DVDs on the second rack, 20 DVDs on the third rack, 40 DVDs on the fourth rack, and 80 DVDs on the fifth rack. If this pattern continues, how many DVDs will Jessica put on the sixth rack?

Answers

Answer:

160

Step-by-step explanation:

Number of DVDs put on the first rack = 5

Number of DVDs put on the second rack = 10

If we closely observe, the number of DVDs on the second rack is nothing but number of DVDs on the first rack multiplied by 2.

Number of DVDs put on the third rack = 20

If we closely observe, the number of DVDs on the third rack is nothing but number of DVDs on the second rack multiplied by 2.

Number of DVDs put on the fourth rack = 40

If we closely observe, the number of DVDs on the fourth rack is nothing but number of DVDs on the third rack multiplied by 2.

Number of DVDs put on the fifth rack = 80

If we closely observe, the number of DVDs on the fifth rack is nothing but number of DVDs on the fourth rack multiplied by 2.

Therefore, to find the number of DVDs on the sixth rack as per similar pattern, we need to multiply the number of DVDs on the fifth rack with 2.

Number of DVDs on the sixth rack = [tex]80\times 2 = \bold{160}[/tex]

What is the domain of the square root function graphed below?
8
6
4
2
-6 -4
6
8
х
-6
X>1
O x21
OOOO
x>3
x23
Mark this and return
Save and Exit
Next
Submit

Answers

Answer:

x ≥ 3

Step-by-step explanation:

the domain of a graph consists of all the input values shown on the x -axis

The domain of the square root function graphed below would be x ≥ 3

What is a function?

Function is a type of relation, or rule, that maps one input to specific single output.

In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable , functions are indispensable for formulating physical relationships.

The domain is all  real numbers for x>3 and the range of the square root function graphed is equal to the interval------> [1,∞)

so, the range is all real numbers for x>3

Hence, the domain of a graph consists of all the input values of the x -axis.

Learn more about function here:

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The probability of a female student being chosen to be on the football team is
1/28 . If there are 840 female students in a school, how many could be on the football team?

Answers

Answer: 30
Step by step explanation:

mga solusyon sa epektibong komunukasyon sa pamilya

Answers

Heyy :) lol I don’t know what u just said but yeah heyy

Answer:

Translation: Solutions to effective family education

Step-by-step explanation:

Can some one please help me i'll give brainliest..please actually answer all the questions. please don't not answer the right way!!!
1. List the ordered pairs for the graphed points.

Write your answer in the space below.


2. How many students were absent on day 3? Explain how you know.

Write your answer in the space below.


3. On which day were the greatest number of students absent? How many students were absent that day?

Write your answer in the space below.


4. Is the relation represented by the graph a function? Why or why not?

Write your answer in the space below.

Answers

Answer:

#1

(1,7) , (2,10) , (3,5) , (4,7) , (5,9)

#2

5 students were absent on day 3

#3

Day 2 had the greatest number of absent students. There were 10 absent students on that day.

#4

The relation represented by the graph is a function. When performing the vertical line test, the vertical line does not intersect the graph more than once; therefore, it is a function.

Step-by-step explanation:

Hope this helps

Which of the following is an equivalent form of the mixed number -12 3/4?
- 45/4
- -51/4
- -48/4
- -45/4

Answers

Answer:

[tex]- \frac{45}{4}[/tex]

Step-by-step explanation:

Step one:

given the information

[tex]-12 \frac{3}{4}[/tex] ----------------this is a mixed fraction with a negative integer number

let us convert this to a proper fraction

Step two:

Multiply the integer by the denominator and add the numerator, we have

[tex]=(-12*4+3)/4\\\\=(-48+3)/4\\\\=-45/4[/tex]

The third option is correct

Pls help me ASAP I have other homework to do and I don’t have time for this. It also detects if it’s right or wrong:(

Answers

Answer:

$20

Step-by-step explanation:

you divide 40 by the two tickets and get $20.

Answer:

$20

Step-by-step explanation:

2 into 40 = 20

3 into 60 = 20

4 into 80 = 20

5
Which equation represents a line with a slope of
2
and a y-intercept of -
.?
3
8 8
y = - +
3x 3
W100 W 100
B
5 8
y = -1
X +
2 3
5 8
y=-X-
2 3
D
5 8
y =
2x 3

Answers

I think 28fa haha s an

Terri has 5 boxes of flower seeds.She wants to give the seeds away to her friends.If she gives 1/8 of a box to each. person, How many people can she give seeds to.

Answers

Answer:

40 people

Step-by-step explanation:

simply divide 1/8 from 5 which is 40

5/ 1/8 = 40

what is 130203 in cryptology

Answers

Answer:

idek

Step-by-step explanation:

idek

sdjdjdkkdeieoeoeoeoeeo

Help me out plz I will gave u Brainliest

Answers

Answer:

17280 if your multiplying

8 divided by 10 is 0.8

12 divided by 18 is 0.6667

1.19

Step-by-step explanation:

1.1940029985

yes i used a calculator for the last one

If gym strong charges a $350 fee and $15 a month and gym fit charges $100 fee and $24 a month, how many months would take for gym string to be a better buy?

Answers

Answer:

It would take 28 months for Gym Strong to be a better buy.

Step-by-step explanation:

There are two possible options for gyms to choose from:

Gym Strong charges $350 plus $15 a month

Gym Fit charges $100 plus $24 a month.

Since Gym Strong charges less per month but has a higher initial fee, there will be some time when it will be a cheaper option than Gym Fit.

Let's solve this by analyzing the differences in fixed fees and monthly fees.

The difference of fixed fees is $350 - $100 = $250

The difference on monthly fees is $24 - $15 = $9

Both gyms will charge the same total fees when have passed 250/9 = 27.7 months. Since the number of months is a whole number, we round up.

It would take 28 months for Gym Strong to be a better buy.

A.) 18
B.) 20
C.) 24
D.) 25

Answers

D,  s=180- n-2

and s=165n

165n=180-n-2

What are the steps, in order, needed to solve 3x + 4 = 13?

Answers

Answer:

3

Step-by-step explanation:

First, subtract 4 from both sides. When you do this, that leaves you with: 3x=9. Then, divide 9 by 3 to get x by itself. x=3

Answer:

Find out what X is (X = 3) , Multiply X times three, add your new number with 4.

3 x 3 + 4 = 13

Use the function g(x) = -5x + 17 to answer the questions.
Part B
What is g(-5)?
a
-60
b
--8
с
12
42

Answers

Answer:

42

Step-by-step explanation:

g(-5)=-5.-5+17

=25+17

=42

Answer:

42

Step-by-step explanation:

g(x) = -5x+ 17

g(-5) = -5 × -5 +17

g(-5) = 42

Help ASAP if you want points and brainliest answer all of them

Answers

Answer:

5. D

3. B

2. C

4. miles per hour 2 1/8, hours per mile 8/17

Which table could be a partial set of values for a linear function? x y 0 1 1 2 2 5 3 10 x y 0 9 1 8 2 5 3 0 x y 0 0 1 2 2 8 3 18 x y 0 3 1 5 2 7 3 9

Answers

Answer:

x y

0 3

1 5

2 7

3 9

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