The endpoints of are A(2, 2) and B(3, 8). is dilated by a scale factor of 3.5 with the origin as the center of dilation to give image . What are the slope (m) and length of ?

Answers

Answer 1

Answer:

The slopes of both are m=6

Length of AB=6.082

Length of the image: 3.5 * 6.082 = 21.287

Answer 2

Answer:

Step-by-step explanation:

The Endpoints Of Are A(2, 2) And B(3, 8). Is Dilated By A Scale Factor Of 3.5 With The Origin As The

Related Questions

Franklin's office just started a new recycling program this year. They aim to recycle 7 kilograms of paper each week. Write an equation that shows the relationship between the number of weeks Franklin's office is on the recycling program, x, and the total number of kilograms of paper recycled, y

Answers

Answer:

7x=y

Step-by-step explanation:

7x=y

7 times x(#of weeks)= y (paper recycled)

Hence, the relationship between the number of weeks Franklin's office is on the recycling program is [tex]7x=y[/tex].

What is the equation?

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Here given that,

Franklin's office just started a new recycling program this year. They aim to recycle [tex]7[/tex] kilograms of paper each week.

So, it would be

[tex]7x=y[/tex]

Hence, the relationship between the number of weeks Franklin's office is on the recycling program is [tex]7x=y[/tex].

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Mr. Chen hires an electrician to install the light fixtures for an addition to his house. The electrician charges an initial fee plus an hourly rate for the number of hours it will take to complete the installation. The function y=120+55x can be used to model the total cost of the job, in dollars. What is the independent variable in this situation, and what does it represent?

Answers

Step-by-step explanation:

y=120+55x

here,X = -24/11

Y=120

don't have time or else I would have shown the details

The independent variable in this situation is x and it represents the number of hours taken for installation

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given,

Mr. Chen hires an electrician to install the light fixtures for an addition to his house.

The function y=120+55x can be used to model the total cost of the job, in dollars

The electrician charges an initial fee plus an hourly rate for the number of hours it will take to complete the installation.

initial fee=120

Here x is the independent variable which represents the number of hours taken for installation

Hence, the independent variable in this situation is x and it represents the number of hours taken for installation

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Students deliver newspapers and magazines to houses.
One day, they have to deliver 850 newspapers and 1440 magazines.
Each student can deliver either 25 newspapers or 60 magazines in 1 hour.
Each student can only work for 6 hours.
Work out the minimum number of students needed.

Answers

Answer:

4 students to deliver magazines and 6 students to deliver newspaper

Step-by-step explanation:

magazine [tex] = 60 \times6 = 360 \\ 850 \div 360 = 4[/tex]newspaper [tex] = 25 \times 6 = 150 \\ 850 \div 150 = 5.6[/tex]

The minimum number of students needed is 6.

Given that, in one day students can deliver 850 newspapers and 1440 magazines. Each student can deliver either 25 newspapers or 60 magazines in 1 hour.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Now, in 1 hour a student can deliver 25 newspapers, so in 6 hours a student can deliver 25 × 6 =150

So, number of students = 850/150 = 5.66

≈ 6

Now, 60 × 6 =360

So, number of students = 1440/360 = 4

Therefore, the minimum number of students needed is 6.

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I need help asap plssss

Answers

Answer:

x = -4

Step-by-step explanation:

(x - 5) (x + 4) = x^2 + 4x

If you expand this, you get:

x^2 - x - 20 = x^2 + 4x

graph similar terms together, the x^2 disappears:

-20 = 5x

x = -20/5 = -4

If x = a sin α, cos β, y = b sin α.sin β and z = c cos α then (x²/a²) + (y²/b²) + (z²/c²) = ?​

Answers

[tex]\large\underline{\sf{Solution-}}[/tex]

Given:

[tex] \rm \longmapsto x = a \sin \alpha \cos \beta [/tex]

[tex] \rm \longmapsto y = b \sin \alpha \sin \beta [/tex]

[tex] \rm \longmapsto z = c\cos \alpha[/tex]

Therefore:

[tex] \rm \longmapsto \dfrac{x}{a} = \sin \alpha \cos \beta [/tex]

[tex] \rm \longmapsto \dfrac{y}{b} = \sin \alpha \sin \beta [/tex]

[tex] \rm \longmapsto \dfrac{z}{c} = \cos \alpha[/tex]

Now:

[tex] \rm = \dfrac{ {x}^{2} }{ {a}^{2}} + \dfrac{ {y}^{2} }{ {b}^{2} } + \dfrac{ {z}^{2} }{ {c}^{2} } [/tex]

[tex] \rm = { \sin}^{2} \alpha \cos^{2} \beta + { \sin}^{2} \alpha \sin^{2} \beta + { \cos}^{2} \alpha [/tex]

[tex] \rm = { \sin}^{2} \alpha (\cos^{2} \beta + \sin^{2} \beta )+ { \cos}^{2} \alpha [/tex]

[tex] \rm = { \sin}^{2} \alpha \cdot1+ { \cos}^{2} \alpha [/tex]

[tex] \rm = { \sin}^{2} \alpha + { \cos}^{2} \alpha [/tex]

[tex] \rm = 1[/tex]

Therefore:

[tex] \rm \longmapsto\dfrac{ {x}^{2} }{ {a}^{2}} + \dfrac{ {y}^{2} }{ {b}^{2} } + \dfrac{ {z}^{2} }{ {c}^{2} } = 1[/tex]

Amir is making pizza dough using a base recipe. For each cup of water, Amir needs to use 2 2/3

cups of flour. For each cup of flour he uses, Amir needs to use 1 1/2

tablespoons of olive oil. If he uses 4 cups of water, how many tablespoons of olive oil will he need?

Answers

4 cups of water would need 16 tablespoons of olive oil.

Each cup of water uses 2 2/3  cups of flour, while each cup of flour he uses, Amir needs to use 1 1/2  tablespoons of olive oil. Hence for 4 cups of water:

4 cups of water = 2 2/3  cups of flour × 4 cups = 32/3 cups of flour

32/3 cups of flour = 1 1/2  tablespoons of olive oil * 32/3 = 16 tablespoons of olive oil

4 cups of water would need 16 tablespoons of olive oil.

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Simplify the following fraction:
90/20

Answers

Answer:

9/2 simplified

and 4 1/2 as a mixed number

Answer:

Fraction: 9/2

Mixed: 4 1/2

Step-by-step explanation:

We do this by first finding the greatest common factor of 90 and 20, which is 10.

Then, we divide both 90 and 20 by the greatest common factor to get the following simplified fraction:

9/2

Therefore, this equation is true:

90/20 = 9/2

If the numerator is greater than or equal to the denominator of a fraction, then it is called an improper fraction. In that case, you could convert it into a whole number or mixed number fraction.

9/2 = 4 1/2

Find the equation of the circle in standard form given the center, point or radius. Show your solution.
Center (-3,5) & Point (-2,1)​

Answers

Answer:

(x + 3)^2 + (y - 5)^2 = 17

Step-by-step explanation:

To find the radius: distance from point (-2,1) to the center from point (-3,5).

d = sqrt [(-2 - -3)^2 + (1 -5)^2]

d = sqrt [(-2 + 3)^2 + (1 -5)^2]

d = sqrt (1)^2 + (-4)^2 = sqrt 17

Radius = sqrt 17

Equation of the circle:

(x - h)^2 + (y - k)^2 = r^2

h = 3, k = 5, r = sqrt 17

(x - -3)^2 + (y - 5)^2 = (sqrt 17)^2

(x + 3)^2 + (y - 5)^2 = 17

If you have 28 apples how many apples will you have if you divide 28 divided by 2

Answers

Answer:

14

Step-by-step explanation:

28 divided by 2 = 14

answer = 14

it’s 14
can u get me the brainlinest ắner?? thank youuu

In triangle RST, mZR>m2S +mZT. Which must be true of triangle RST? Check all that apply.

OmZR > 90°

mZS + mZT< 90°

0 m2S = mZT

OmZR>mZT

OmZR>mZS

OmZS> mZT

Answers

Answer:

Step-by-step explanation:

1,2,4,5

The correct statements are,

m∠R > 90°

m∠S + m∠T < 90°

m∠R > m∠T

m∠R > m∠S

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Here, RST is a triangle,

Therefore,  

m∠R + m∠S + m∠T = 180°

⇒ m∠S+m∠T = 180° - m∠R

Since, m∠R > m∠S + m∠T

⇒ - m∠R < - (m∠S + m∠T) (by multiplying-1 on both sides)

⇒ 180°- m∠R < 180° - (m∠S + m∠T) (by adding 180° on both sides)

⇒ m∠S+m∠T < 180° - (m∠S + m∠T)

⇒ m∠S+m∠T+ m∠S+m∠T < 180° ( by adding m∠S + m∠T on both sides)

⇒ 2(m∠S+m∠T) < 180°

⇒ m∠S+m∠T < 90°

⇒ m∠R > 90° ( because m∠R+m∠S+m∠T = 180° )

Again, m∠R > m∠S + m∠T

⇒ m∠R > m∠S and  m∠R > m∠T

Thus, Option first second fourth and fifth are correct.

Since, m∠S = m∠T is only possible when m∠R=90° (but it is not given)

That is why m∠S = m∠T is not correct.

And, there are not enough information to prove m∠S > m∠T

That is why  m∠S > m∠T is also incorrect.

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Graph the inequality y < 1 - 3x

Answers

Answer:

13

Step-by-step explanation:

Vicky is a cook at a diner. Before the diner opened, she used 12 eggs to make a large frittata that will be sold by the slice. She will also use 3 eggs whenever someone orders an omelet. If Vicky uses a total of 39 eggs by the end of the day, how many omelets must have been ordered?
Write and solve an equation to find the answer.

Answers

3x+12=39
Minors 12 on both side
3x=27
Divide 3 on both side
X=9

A salesperson earns a base salary of $400 per week plus 20%
commission on sales. He is offered double his base salary if he'll
accept half his original commission. Graph and label the original deal
and the new deal below. Next to the graph, find when the original deal
is a better choice. Explain your thinking.

Answers

Answer:

(Hope this helps can I pls have brainlist (crown)☺️)

Step-by-step explanation:

For how to graph this, best to look at the guidelines for graphing a break-even formula.

What we do want to know is where these two values equal each other.

So, set:  400 + 0.20X = 800 + 0.10X

Subtract 400 from both sides; also subtract 0.10X from both sides, to get:

0.10X = 400

To solve for "X", divide out both sides by:  0.10, to get:

X = 4,000

What can can glean from this, is that:

(1)  The sales person is better off accepting the higher base salary, up to the point of sales being no more than $4,000;

(2)  The sales person is better off accepting the lower base salary, if their sales are normally expected to exceed $4,000.

what is the mathematical sum for the equation “1+1” ?

Answers

Answer:

2... i think

step by set explanation:

Jimmy's Bike Rentals charges a $13 fixed fee plus $7 an
our for renting a bike. Amanda paid $55 to rent a bike. How
hany hours did she pay to have the bike checked out ?

Answers

Answer:

6 hours

Step-by-step explanation:

let the no. of hours  she rent the bike be x

then,

13 + 7*x = 55

13 +  7x = 55

7x = 55 -13

7x = 42

x = 6

equation : 13+7x=55

7x=42

x=6

Amanda paid for 6 hours

Please helpppppppppppppppp

Answers

Answer:

29520728184915396206153835295

In the graph, what fraction does the arrow point to? ​

Answers

3/4

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

For brainily please help

Answers

Answer: 148


A triangle = 180

So all three sides have to add up to 180.

If one side is 12 And the other is 20 you add that makes 32.

12 + 20 = 32

Now we need to find the length of the other side. 32 is two of the sides and 180 is the whole. So something + 32 = 180

32 + x = 180

To find x you subtract 32 from 180

180 - 32 = 148

Hope this helps

1. Find F(2) if f(x) = 8x+15/9x-3



2. Find the Domain of F(x) = x+8/x-7


3. R(x)= 8x+3/x^3 - 4x^2 + 3x

Answers

Answer:

thats a crazy question

Step-by-step explanation:

how the tables have turned

Answer:

8 + 4 = 12

Step-by-step explanation:

Brainyyyy

The chart shows the nutritional facts for a nutrition bar.

Nutritional Facts
Nutrition Bar
1 bar
Calories
182.7
Fat
5.8 g
Carbohydrates
23.57 g
Sodium
289.75 mg

Which is the best explanation of how to find the carbohydrates in 16.4 nutrition bars?

Answers

Answer:

ITS A (i took the unit test)

Step-by-step explanation:

1. Solve
2 -(3 -1)=6(1- )

Answers

Answer:

2 (-3 - 1) = 6 (-1)?? If thats the equation you were trying to type then the answer is: -8 = -6

Step-by-step explanation:

⁻x₋5у₊z=17
¬5x-5y+5z=5
2x+5y-z=10

Answers

Step-by-step explanation:

they are not like variables and terms so u cant add them nor subtract term soit stays as it is

The angle measurements in the diagram are represented by the following expressions.
ZA = 5x + 34°
ZB = 2x + 76°


Solve for x and then find the measure of ZA:
ZA=

Answers

point A (-1-1) point B(-2-1)

options of Answer

A) 10 bags of chips and 2 jars of salsa

B) 20 bags of chips and 2 jars of salsa

C) 14 bags of chips and 5 jars of salsa

D) 18 bags of chips and 6 jars of salsa

Answers

Answer:

D) 18 bags of chips and 6 jars of salsa

Step-by-step explanation:

Given :  The networking organization you joined is throwing a party. You are in charge of buying the chips, which cost $2.50 per bag and salsa, which costs $4 per jar. The chips & salsa budget you are given totals $60.

Inequality: [tex]2.5x+4y[/tex] ≤ [tex]60[/tex]

Solution :

x represents chips

y represents salsa

Option a: 10 bags of chips and 2 jars of salsa

so, x = 10 and y =2

Putting values in inequality

[tex]2.5(10)+4(2)[/tex] ≤[tex]60[/tex]

[tex]25+8[/tex] ≤[tex]60[/tex]

[tex]33[/tex]≤[tex]60[/tex]

Hence it is correct.

Option c : 14 bags of chips and 5 jars of salsa

so, x = 14 and y =5

Putting values in inequality

[tex]2.5(10)+4(2)[/tex]≤[tex]60[/tex]

[tex]50+8[/tex]≤[tex]60[/tex]

[tex]58[/tex]≤[tex]60[/tex]

Hence it is correct.

Option c : 14 bags of chips and 5 jars of salsa

so, x = 14 and y =5

Putting values in inequality

[tex]2.5(14)+4(5)[/tex]≤[tex]60[/tex]

[tex]35+20[/tex]≤[tex]60[/tex]

[tex]55[/tex]≤[tex]60[/tex]

Hence it is correct.

Option d :18 bags of chips and 6 jars of salsa

so, x = 18 and y =6

Putting values in inequality

[tex]2.5(18)+4(6)[/tex]≤[tex]60[/tex]

[tex]45+24[/tex]≤[tex]60[/tex]

[tex]69\geq 60[/tex]

Hence it is not correct since it violates the inequality

George budgets $900 each month for fixed expenses. He nets $1720 semimonthly. What percent of his net monthly income does he budget for fixed expenses?
(Please help I'm VERY lost)


A. 52%
B. 26%
C. 30%
D. 25%

Answers

Answer:

B. 26%

Let say a month=30days

if ½ a month is 15 days

Then 30 days = 2(1720)

= $3440.00

% = (900÷3400)x100 =26%

There are 60 runners in a race. How many ways can the runners finish​ first, second, and​ third?

Answers

Answer:

There are 720 possible results.

Step-by-step explanation:

How do you solve this type of problem?
Thanks!

Answers

We know that the total is 180 degrees of the lines.

To find x:
(5x+20)+(4x-11) = 180
x=19

To find y, input the value of x into the equation 4x-11 since this equation is equal to 2y+19
4(19)-11 = 65
2y+19 = 65
y=23

Write the equation of the line parallel to a line with the equation y = -6x+4 and passes through the point (-2, 6).

Answers

Answer:

its 0

Step-by-step explanation:

yea i made that up I NEED POINTS ALR

May I please receive help?

Answers

Answer:
I= 61
J=58
K= 61
I have attached the work below.
I know is
l = 61
have a great dayyy

May I please receive help?

Answers

Answer:

F=86°

G=75°

H=19°.........

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