Given: Triangle ABC with vertices A(5,-2), B(5.-7), and C(1, -2). Which set of
coordinates best repositions the triangle to make a coordinate proof easier?

Answers

Answer 1

Answer: C (0,0), (-4,0) and (0, -5)

Step-by-step explanation:

Answer 2

After repositioning the triangle, the vertices will be A(0, 0), B(0, -5), and C(-4, 0). This new positioning will make the coordinate proof easier since the coordinates are now simpler, and one vertex is located at the origin, which often simplifies the calculations in coordinate geometry proofs.

To make a coordinate proof easier, it's helpful to reposition the triangle in a way that simplifies the calculations and coordinates. In this case, you can reposition the triangle by translating it so that one of its vertices aligns with the origin (0, 0). This process is known as translation.

Let's reposition the triangle so that vertex A(5, -2) aligns with the origin (0, 0). To do this, we need to subtract the x-coordinate of vertex A from all the x-coordinates of the other vertices and subtract the y-coordinate of vertex A from all the y-coordinates of the other vertices.

The new coordinates for the repositioned triangle will be:

A(5, -2) -> A(0, 0) (remains the same, as it aligns with the origin)

B(5, -7) -> B(5 - 5, -7 - (-2)) -> B(0, -5)

C(1, -2) -> C(1 - 5, -2 - (-2)) -> C(-4, 0)

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Related Questions

1.find the domain,range and function.

{(-6, 4), (5, -1), (0, 3), (-2,4)}

Domain:
Range:
Function

Answers

Answer: domain: {-6, 5, 0, -2}

Range: { 4, -1, 3, 4}

Function: Yes it is a function

10 2.5 16 4 ? 7.5 48 12 Which statement explains how to find the number of minutes it takes to bike 7.5 miles? Find the ratio of minutes to miles, 4:1. Divide 7.5 by 4. Find the ratio of minutes to miles, 4:1. Multiply 7.5 by 4. Find the difference between 16 and 10. Add the difference to 16. Find the difference between 16 and 10. Add the difference to 7.5.

Answers

Answer:

Find the ratio of minutes to miles, 4:1. Multiply 7.5 by 4.

Step-by-step explanation:

Given

Minutes: 10 || 16 || ?  || 48

-----Miles: 2.5 || 4 || 7.5 || 12

Required

Which statements solve for the missing value?

First, we need to calculate the ratio of minutes to mile

[tex]Ratio = \frac{Minutes}{Mile}[/tex]

When minutes = 16; mile = 4

So, we have:

[tex]Ratio = \frac{16}{4}[/tex]

[tex]Ratio = 4[/tex]

Next, we multiply the ratio by 7.5

[tex]Minutes = Ratio * 7.5[/tex]

[tex]Minutes =4 * 7.5[/tex]

[tex]Minutes = 30[/tex]

Hence, option B answers the question.


9 t-shirts and a hat costs £93.00
4 t-shirts and a hat costs £43.00.
How much does a t-shirt cost?
How much does a hat cost?

Answers

Answer:

A t-shirt costs 10.00 pounds and a hat costs 3.00 pounds.

Step-by-step explanation:

x is a t-shirt

y is a hat

9x + y = 93.00

4x + y = 43.00

(9x + y) - (4x + y) = 93.00 - 43.00

9x + y - 4x - y = 50.00

5x = 50.00

x = 50.00/5

x = 10.00 [a t-shirt costs 10.00]

4x + y = 43.00

4×10.00 + y = 43.00

40.00 + y = 43.00

y = 43.00 - 40.00

y = 3.00 [a hat costs 3.00]

Terry spent $33.25 to have 475 fliers printed for his business. What was the cost of a single flier?​

Answers

Answer:

Step-by-step explanation:

divide 33.25/475 and you'll get 7 cents per flier

94 = y/4 - 18

Im stuck

Answers

Answer:

y= 448

Step-by-step explanation:

PLEASE MARK BRAINLIEST

1.) 94=y/4-18

94+18=[tex]\frac{y}{4}[/tex]-18+18

2.) simplify

add the numbers

112=[tex]\frac{y}{4}[/tex]

3.) Multiply all terms by the same value to eliminate fraction denominators.

112=[tex]\frac{y}{4}[/tex]

4 · 112=4 · [tex]\frac{y}{4}[/tex]

4.) Multiply the numbers

Cancel multiplied terms that are in the denominator

448=y

Solution

448=y

A is at (-2, 1) and B is at (4, -1).
P is a point on y-axis which is equidistant from A and B.
What are the coordinates of P?

Answers

Answer:

The coordinates of P are (1,0)

Step-by-step explanation:

Midpoint

The midpoint (xm,ym) of a segment defined by points (x1,y1) and (x2,y2) is calculated as follows:

[tex]\displaystyle x_m=\frac{x_1+x_2}{2}[/tex]

[tex]\displaystyle y_m=\frac{y_1+y_2}{2}[/tex]

We need to find the coordinates of P which is equidistant from the endpoints A=(-2,1) and B=(4,-1).

Calculate the midpoint:

[tex]\displaystyle x_m=\frac{-2+4}{2}=1[/tex]

[tex]\displaystyle y_m=\frac{1-1}{2}=0[/tex]

Thus, the coordinates of P are (1,0)

Note the midpoint does not lie on the y-axis but on the x-axis.

5/6+4(3/4g-6) in standard form

Answers

Answer:

3g- 139/6

Step-by-step explanation:

Find the slope of the line containing the pair of points.
(-10,6) and (-11,7)

Answers

Answer:

Step-by-step explanation:

(-10,6)(-11,7)

Slope is -1

1. Laura earns $115 a month babysitting. If she saves all of the
money she earns in June and July and uses it to buy a bicycle
that cost $158, how much money will she have left?
A. $230,00
B. $43.00
C. $60.00
D. $72.00
A
B
OC

Answers

Answer:

Laura will have exactly $72.00 after purchasing the bicycle.

Step-by-step explanation:

We are given that Laura ends $115 per month of babysitting.

We also learn that she wants to save her money from June and July, which means she wants to save her money over a period of two months.

Therefore, she will earn $115 twice.

[tex]\displaystyle{\$115 \times 2 = \$230}[/tex]

Then, she wants to purchase a bicycle that costs $158, so we need to subtract the cost of the bicycle from her total earnings.

[tex]\$230 - \$158 = \$72[/tex]

Therefore, Laura will have exactly $72.00 remaining after her purchase.

Samantha buys $128 worth of goods at a 25% discount. If the sales tax rate is 6.4%, what is the total amount she will pay?

Answers

Answer:

150 I think

Step-by-step explanation:

Graph this function using intercepts:
5x–3y=30

Answers

Answer:

hi im rachel

Step-by-step explanation:

Please help me out!!!! I’m struggling

Answers

Answer:

SSS

Step-by-step explanation:

Carmen is designing an intersection of the rail line and four streets. She wants to know which streets are parallel. Transversal t crosses lines c, d, e, f forming 16 angles. Clockwise from top left, the angles formed with line c are blank, blank, blank, 114 degrees; with line d are blank, blank, 68 degrees, blank; with line e are blank, 112 degrees, blank, blank; with line f are blank, blank, 66 degrees, blank. Which streets are parallel? Check all that apply. c || d c || e c || f d || e d || f e || f

Answers

Answer:

The answer is "c || f  and d || e".

Step-by-step explanation:

Its acute collision angle between e and t is:

[tex]\to 180^{\circ}- 112^{\circ} = 68^{\circ}[/tex]

Its angle refers to the acute corner of d, so d and e are parallel to its extreme angle of crossroads between c and t is:

[tex]\to 180^{\circ} -114^{\circ} = 66^{\circ}[/tex]

Its angle is identical to the acute angle of, f so, that c and f are parallel. [tex]d | |e, c || f[/tex]

All "corresponding" to extreme angles at crossings of t. Thus the associated points are connected to their congruence.

Answer:

C AND D just took it

Step-by-step explanation:

SUBB TO JAYLONSWORLD_YT ON YT

apples costs $1.98 per pound, how much does 1.5 pounds of apples cost

Answers

Answer:

$2.97

Step-by-step explanation:

Answer:

0.75 apples about 3/4 ig

Step-by-step explanation:

it's just u will divide 1.5 to 1.98 to get how many apples

FACTPRIZE
A(X)=X^2-10x+25-(x-5)(2x+3)​

Answers

Answer:

the ans is -x^2-3x+40........

Answer:

(5 - x )(8 + x)

Step-by-step explanation:

A(x) = x² - 10x + 25 - (x - 5)(2x + 3)

x² - 10x + 25 = (x - 5)²

A(x) = (x - 5)² - (x - 5)(2x + 3) =

(x - 5)(x - 5 - 2x - 3) =

(x - 5)(- x - 8) =

(5 - x )(8 + x)

Should I do light pink nails or light blue nails???

Hurry I Need an answer

Answers

Answer:

blue!!

Step-by-step explanation:

<3

which of the following points would be on the graph of the equation y= -2x + 10

a (-3, 16)
b ( -3, 4)
c ( 2, -6)
d (2, 14)

Answers

Answer:

a (-3,16)

Step-by-step explanation:

This type of question is typically done by a trail and error method.

Putting values in a part in the given equation

16= -2×(-3)+10

16= 6+10

16=16

LHS=RHS

Hence the correct answer is a (-3,16)

The answer is (-3,16)

yousef typed a 36-word paragraph in 2/3 minute. What is his typing speed, in words per minute?
plsss help

Answers

Answer:

49 words per minute

Step-by-step explanation:

2/3 of a minute is 40 so you want to multiply 36 by 1.3 to get a rough answer which gets you 46.8. you can round that up to 49. the typing speed is 49 words per minute

May I get brainliest please? :)

Division is one of the four fundamental arithmetic operations. The typing speed of Yousef is 54 words per minute.

What is Division?

The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Given that Yousef typed a 36-word paragraph in 2/3 minutes. Therefore, the typing speed of Yousef in a minute is,

Typing speed of Yousef = 36 words/ (2/3) minutes

                                         = (36×3)/2 words per minute

                                         = 54 words per minute

Hence, the typing speed of Yousef in a minute is 54 words per minute.

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r minus the sum of 4 and p equals

Answers

Answer:

r - (4 + p)

Step-by-step explanation:

{that's how you write it if that's what you are asking}

giving brainliest !!!

Answers

Answer:

I am pretty sure it is 5/8 because it is perpendiculiar

Step-by-step explanation:

Find the Value 7 x (6 divided by 4) with a exponent of 2

Answers

7(6/4)^2
7(3/2)^2
7*9/4
63/4 or 15 3/4 or 15.75

pl pls pls help im a really bad at tables ​

Answers

Answer:

the answer is x=1

Step-by-step explanation:

if you look at the table it shows that 1 on both the tables equals 3

Para hacer una ración de puré de papa se necesita 1/5 de kg. ¿Cuántas raciones se pueden hacer con 7/4 de kg?
Gracias

Answers

Answer:

Cantidad de raciones=  8.75 raciones

Step-by-step explanation:

Dada la siguiente información:

Para hacer una ración de puré de papa se necesita 1/5 de kg.

Vamos a pasar las cantidades a décimales:

Ración puré= 0.2kg

Kg de papa= 7/4= 1.75 kg

Ahora, dividimos la cantidad total por la cantidad unitaria:

Cantidad de raciones= 1.75/0.2

Cantidad de raciones=  8.75 raciones

Manoj and Tamar are arguing about a number trick they heard.

Tamar tells Andrew to think of a number, multiply it by five and

subtract three from the result. Then Manoj tells Andrew to think

of a number, add five and multiply the result by three. Andrew

says that whichever way he does the trick he gets the same

answer.

a. What was the number Andrew started with?

b. What was the result Andrew got both times?

c. Name another set of steps that would have resulted in the

same answer if Andrew started with the same nu

Answers

Answer:

a .  Andrew's started with number 9

 b. 42

 c. 4x + 6 = (x+12)*2

Step-by-step explanation:

Let the Andrew's number is x

Tamar tells Andrew to think of a number, multiply it by five and

         subtract three from the result

        5x - 3

Manoj tells Andrew to think   of a number, add five and multiply the result by three.

       (x +5)*3

as he was getting the same answer so both the numbers will be equal

5x -3 = (x+5)*3

5x - 3 = 3x + 15

2x = 18

x = 9

a. Andrew's started with number 9

b. (1) 5x- 3 = 5*9 - 3

        = 42

  (2) (x + 5)*3

        = 14*3 = 42

c. Think of a number, then multiply it with 4 then add 6 in it

   Think of a number add 12 in it then then double it.  

   4x + 6 = (x+12)*2

    x = 9

   

Can someone help pls

Answers

See the attchment because if i typed it, it would be confusing
[tex] \frac{6}{12} = \frac{1}{2} [/tex][tex]\frac{24}{30} = \frac{4}{5} [/tex][tex] \frac{9}{36} = \frac{1}{4} [/tex][tex] \frac{15}{24} = \frac{5}{8} [/tex][tex] \frac{9}{18} = \frac{1}{2} [/tex][tex] \frac{12}{9} = \frac{4}{3} [/tex][tex] \frac{5}{10} = \frac{1}{2} [/tex][tex] \frac{24}{32} = \frac{3}{4} [/tex][tex] \frac{10}{35} = \frac{2}{7} [/tex][tex] \frac{18}{90} = \frac{2}{10} = \frac{1}{5} [/tex][tex] \frac{8}{32} = \frac{1}{4} [/tex][tex] \frac{18}{14} = \frac{9}{7} [/tex][tex] \frac{2}{6} = \frac{1}{3} [/tex][tex] \frac{12}{18} = \frac{6}{8} = \frac{3}{4} [/tex][tex] \frac{24}{9} = \frac{8}{3} [/tex][tex] \frac{7}{28} = \frac{1}{4} [/tex][tex] \frac{6}{21} = \frac{2}{7} [/tex]

Simultaneous equations
y=x+2
y=x^2

Answers

Answer:

(- 1, 1 ) and (2, 4 )

Step-by-step explanation:

Given the 2 equations

y = x + 2 → (1)

y = x² → (2)

Substitute y = x² into (1)

x² = x + 2 ( subtract x + 2 from both sides )

x² - x - 2 = 0 ← in standard form

(x - 2)(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 2 = 0 ⇒ x = 2

x + 1 = 0 ⇒ x = - 1

Substitute these values into (1) for corresponding values of y

x = 2 → y = 2 + 2 = 4 ⇒ (2, 4 )

x = - 1 → y = - 1 + 2 = 1 ⇒ (- 1, 1 )

ASAP GIVING BRAINIEST AND 20 points 1. How can technology be both positive and negative when it comes to modified crops?

2. Why do you think it is important to find ways to improve crops?

Answers

Answer:

Technology can be both negative and positive when it comes to modified crops. It can be positive because it allows us to have more crops and resist pests and disease. It can be negative because it may cause deformities or health risks.

I really hope that helps you.

What is x+4=10 answer fast

Answers

Answer:

x=6

Step-by-step explanation:

10-4=6

e. Find the length of sides of the triangle whose vertices are A (7,4), B (-8, 6) Ć(1, -3).​

Answers

Answer:

Length of sides of triangle are: AB = 15.13, BC = 12.72, AC = 9.21

Step-by-step explanation:

We need to find the length of sides of the triangle whose vertices are A (7,4), B (-8, 6) C(1, -3).​

We have three sides of triangle AB, BC and AC

The length of side can be calculated using distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Now finding lengths of sides AB, BC and AC

i) Length of side AB

We have A (7,4), B (-8, 6)

and [tex]x_1=7, y_1=4, x_2=-8, y_2=6[/tex]

Putting values in formula and finding length

[tex]Length \ of \ side \ AB \ =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Length \ of \ side \ AB \ =\sqrt{(-8-7)^2+(6-4)^2}\\Length \ of \ side \ AB \ =\sqrt{(-15)^2+(2)^2}\\Length \ of \ side \ AB \ =\sqrt{225+4}\\Length \ of \ side \ AB \ =\sqrt{229}\\Length \ of \ side \ AB \ =15.13[/tex]

So, Length of side AB is 15.13

ii) Length of side BC

We have B (-8, 6) and C(1, -3)

and [tex]x_1=-8, y_1=6, x_2=1, y_2=-3[/tex]

Putting values in formula and finding length

[tex]Length \ of \ side \ BC \ =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Length \ of \ side \ BC \ =\sqrt{(1-(-8))^2+(-3-6)^2}\\Length \ of \ side \ BC \ =\sqrt{(1+8)^2+(-9)^2}\\Length \ of \ side \ BC \ =\sqrt{(9)^2+(-9)^2}\\Length \ of \ side \ BC \ =\sqrt{81+81}\\Length \ of \ side \ BC \ =\sqrt{162}\\Length \ of \ side \ BC \ =12.72[/tex]

So, Length of side BC is 12.72

iii) Length of side AC

We have A (7,4)and C(1, -3)

and [tex]x_1=7, y_1=4, x_2=1, y_2=-3[/tex]

Putting values in formula and finding length

[tex]Length \ of \ side \ AC \ =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Length \ of \ side \ AC \ =\sqrt{(1-7)^2+(-3-4)^2}\\Length \ of \ side \ AC \ =\sqrt{(-6)^2+(-7)^2}\\Length \ of \ side \ AC \ =\sqrt{36+49}\\Length \ of \ side \ AC \ =\sqrt{85}\\Length \ of \ side \ AC \ =9.21[/tex]

So, Length of side AC is 9.21

So, length of sides of triangle are: AB = 15.13, BC = 12.72, AC = 9.21

Answer correctly please !!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!!

Answers

FGH and m FGH =(7x-9)
m HGJ = (2x + 36)
Find m FGH

X = 14
7x16 112

2x16 32+36 68
68+112= 180

The answer is x = 16

Give brainest pls
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