In exercises 27-30, three vertices of DEFG are given. Find the coordinates of the remaining vertices: D(-2,-4)

Answers

Answer 1

Answer:

[tex]E =[/tex] [tex](-3,3)[/tex]

Step-by-step explanation:

The question has missing parameters.

The (missing) given coordinates are:

[tex]D(x_1,y_1) = (-2,-4)[/tex]

[tex]F(x_3,y_3) = (0,7)[/tex]

[tex]G(x_3,y_4) = (1,0)[/tex]

Required

Find the coordinates of [tex]E(x_2,y_2)[/tex]

To do this, we make use of mid-point formula which is:

[tex]M = (\frac{x_1+x_3}{2},\frac{y_1+y_3}{2})= (\frac{x_2+x_4}{2},\frac{y_2+y_4}{2})[/tex]

This gives:

[tex](\frac{-2+0}{2},\frac{-4+7}{2})= (\frac{x_2+1}{2},\frac{y_2+0}{2})[/tex]

[tex](\frac{-2}{2},\frac{3}{2})= (\frac{x_2+1}{2},\frac{y_2+0}{2})[/tex]

Multiply through by 2

[tex]2 * (\frac{-2}{2},\frac{3}{2})= (\frac{x_2+1}{2},\frac{y_2+0}{2})*2[/tex]

[tex](-2,3) = (x_2+1,y_2+0)[/tex]

[tex](-2,3) = (x_2+1,y_2)[/tex]

By comparison:

[tex]-2 = x_2 + 1[/tex] and [tex]3= y_2[/tex]

So, we have:

[tex]-2-1=x_2[/tex] and [tex]3= y_2[/tex]

[tex]-3 = x_2[/tex] and [tex]3 = y_2[/tex]

This gives:

[tex]x_2 = -3[/tex] and [tex]y_2 =3[/tex]

Hence, the 4th coordinate is: [tex](-3,3)[/tex]


Related Questions


Rodney decides to pay a $200 fee in 3
payments. The first payment is 10% of the
original fee. The second payment is 25% of the
original fee. Which expressions represent the
amount of money for the third payment?

Answers

Answer:

65% of the orginal fee or $130.

Step-by-step explanation:

You didn't put the answer options so I am not sure how you want the question to be answered. There are three ways I would write it:

1:  100% = 10% + 25% + 65%

2:  200 = 20 + 50 + 130

3:  200 = (0.1 x 200) + (0.25 x 200) + (0.65 x 200)

All of them basically mean the same thing it is just a matter of how you need it written.

Based on the amount to be paid and the percentage paid in each installment, the expression for the third payment is 65% x 200.

Rodney has to pay $200 in three installments.

The third installment will be:

= Percentage in total - Percentages paid already

= 100% - 10% - 25%

= 65%

The third installment is therefore:

= Percentage to be paid x Amount

= 65% x 200

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Find the slope
Y=-x+2

Answers

Answer:

slope = -1

Step-by-step explanation:

take the equation: y = mx + b for slope-intercept

y is the input

m is the slope

x is the output

b is the y-intercept

when the slope is -1, it is seen and implied as -x.

what is 652.42 rounded to the hundreds place

Answers

Answer:

650.00

Step-by-step explanation:

2 is the hundreds place but since its not 5 or over it will be 0

need help will give brainlist

Answers

Answer:

40

Step-by-step explanation:

Answer:

11 is the answer.

pls help i am on a timer

Answers

Answer: (x-6)(x+1)

Step-by-step explanation:

Sum :  x2 − 5  x- 6

x2 + x-=6 x − 6

factor pair: x  2 + x − 6 x − 6

x( x+ 1 ) − 6 ( x + 1 )

rewrite from: x (x  + 1 ) − 6 ( x + 1 )

(x-6)(x+1)

Answer:

A: (x-6)(x+1)

Step-by-step explanation:

We need to find 2 numbers that add to make -5 and multiply to make -6.

We already have the numbers infront of us, so by process of elimination we can remove B and D.

For the numbers, we need a positive number and a negative number (two negatives make a positive). We can eliminate C because at first -3 multiplied by 2 is -6. However, when -3 is added to 2 we get -1.

If we expand A, it makes the expression that needs to be factorised because...

-6 × 1 = -6

-6 + 1 = -5

So expanding it properly we get.

x² - 6x + x - 6

Simplify.

x² - 5x -6

A wall and a tree are casting shadows as shown in the picture below. How tall is the tree?

Answers

Answer:

let my rat self say this, 24ft?

speaking:

I DON'T KNOW :,D

f(x) = (x + 1)²

what is the domain of f? please help​

Answers

The domain is all real numbers

select the correct answer from each dropdown menu. in the figure, the radius of the partial circle with center A is 4 feet.
The perimeter of the figure is A.____ feet, and the area of the figure is B.____ square feet. Assume =3.14, and round your answers to the nearest hundredth.​
A.- 18.84 - 24.50 - 26.84 - 75.36
B.- 11.42 - 22.84 - 45.68 - 53.68

Answers

Answer:

Step-by-step explanation:

Part A: 24.50 feet, Part B: 46.68 square feet, I just took the test and got this right!

The perimeter of the figure is [tex]24.50[/tex] and area of the figure is [tex]45.68[/tex] square feet.

What is Area of Circle?

In geometry, the area enclosed by a circle of radius r is πr². Here the Greek letter π represents the constant ratio of the circumference of any circle to its diameter, approximately equal to 3.14159

According to question, the radius of the partial circle with center A is 4 feet.

We have to find the perimeter and area of the figure.

Perimeter of the figure=2πr×[tex]\frac{3}{4}[/tex] +[tex]4\sqrt{2}[/tex]

=2×[tex]3.14[/tex]×[tex]4[/tex]×[tex]0.75+4[/tex]×[tex]1.414[/tex]

[tex]=24.50[/tex]

Area of figure=[tex]\frac{3}{4}[/tex] πr²+[tex]r^{2}[/tex]×[tex]\frac{1}{2}[/tex]

=[tex]0.75[/tex]×[tex]3.14[/tex]×[tex]16[/tex][tex]+16[/tex]×[tex]0.5[/tex]

[tex]=37.68+8[/tex]

[tex]=45.68[/tex]

Hence, we can conclude that the perimeter of the figure is [tex]24.50[/tex] and area of the figure is [tex]45.68[/tex] square feet.

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11 5/10 minutes =
Kevin had 11 minutes and ____ seconds for question C.

Answers

Answer:

Kevin had 11 and 30 seconds.

kalfhvbweocnsliydsaieakywcronuosudzopvnrcidsvjrk hope this helps..?

What steps would you use to solve this equations for x? *

Answers

Answer:

x=-24

Step-by-step explanation:

Multiply both sides by 4 to get x=-24

[tex]\\ \rm\hookrightarrow -6=\dfrac{x}{4}[/tex]

Multiply 4 on both sides

[tex]\\ \rm\hookrightarrow x=-6(4)[/tex]

[tex]\\ \rm\hookrightarrow x=-24[/tex]

Christine buys a necklace that cost $18.62 and a ring that costs $7.98. She used a 35%-off coupon on the purchase. If Christine pays with a $20 dollar bill, how much change should she get back?

Answers

Christine will get $2.71 worth of change

Please solve as soon as possible

Answers

Answer:

.75

Step-by-step explanation:

Because three divided by four is .75

Answer:

Question 22: 0.75 or 75%

Question 23:   5:2

Step-by-step explanation:

Question 22: 3 divided by 4 equals 0.75

Question 23:  

2.5  = 2.5/1

2.5 × 10/10 equals 25/10

25/10 divided by 5 equals 5/2

5/2= 5:2

Ratnam hired a car from a car renting agency which charges a flat amount of Rs x for travelling up to 40 kilometres and Rs. y per km for every kilometre travelled thereafter. How much should Ratnam pay the agency for a journey of 50 kilometres in Rs. ?

Answers

Answer:

Rs. X + Rs. 10y

Step-by-step explanation:

Charge for 40 km travel = Rs. x per km

Charge for every additional km traveled = Rs. y

Amount paid for 50 km

Fixed charge for 40km = Rs. X

Additional km = 50 - 40 = 10 kilometer

Total charge :

Rs. X + Rs. 10y

3. If RT= 5x + 8 and Rz= 4x + 1 find ZT

Answers

Answer: ZT=9

Step-by-step explanation:

5x+8=2(4x+1)

Carter is deciding between two different movie streaming sites to subscribe to. Plan A costs $19 per month plus $2 per movie watched. Plan B costs $31 per month plus $0.50 per movie watched. Let AA represent the monthly cost of Plan A if Carter watches xx per month, and let BB represent the monthly cost of Plan B if Carter watches xx movies per month. Write an equation for each situation, in terms of x, and determine the interval of movies watched, x, for which Plan A is cheaper than Plan B.

Answers

Answer:

19x+2x=AA

31x+0.50x=BB

Step-by-step explanation:

Answer:

A  =  2x +19

B  =  0.50x + 31

Plan A is cheaper than Plan B when x < 8 movies

Step-by-step explanation:

2x + 19  =  0.50x + 31

1.5x  =  12

x  =  8

PLZ HELP I MARK U BRAINLIEST

Answers

Answer:

8/9

Step-by-step explanation:

Make 4 as a fraction. It turns to 4/1

2/9 x 4/1 = 8/9

4x-9y+7x-3y-8x
.......

Answers

Answer:

3x-12y

Step-by-step explanation:

4x-9y+7x-3y-8x

group like terms

4x+7x-8x

11x-8x

=3x

-9y-3y

=-12y

combine terms

==3x-12y

Hope this helps! :)

Which set of side lengths form a right triangle?

A. 50 in.., 48 in.., 14.

B. 3 in.., 6 in.., 5 in.

C. 53 in.., 48 in.., 24 in.

D. 8 in.., 17 in.., 14.​

Answers

Answer:

the answer is option A

PLEASE MARK ME AS BRAINLY

Step-by-step explanation:

1. How do the heights of the chimpanzee and gorilla habitats compare to the height of the
orangutan habitat? Round all answers to the nearest hundredth of a yard. Show your work.
2. Label a point Z that is vertical to point X and horizontal to point Y. A string of lights is being hung
from point Z to the cable that connects the gorilla and chimpanzee habitats. The string of lights
will create a right angle with the cable. Determine the distance between point Y and the point
where the string of lights attaches to the cable. Round all answers to the nearest hundredth of a
yard. Show your work.

Answers

Answer: im confused on what your asking can u give me more detail.

Step-by-step explanation:

Solve for r in terms s, t, u, v.
su=rtv

Answers

Answer:

r = su/tv

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right  

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of Equality

Step-by-step explanation:

Step 1: Define

su = rtv

Step 2: Solve for r

[Division Property of Equality] Divide tv on both sides:                               su/tv = rRewrite/Rearrange:                                                                                         r = su/tv
Making r subject of formula, we get:

r = su/tv

Which is the correct way to find the length of a line segment with endpoints (0,4) and (7,-9)?

Answers

Answer:

0 is Y 7 is X 4 is Y and -9 is X

Step-by-step explanation:

you can use Y and X to pin point the spots

Which type of function are the following equations?
1. ƒ(x) = 4x^2
2. g(x) = 1 - x
Linear, Exponential or Quadric.
(You mau choose a different answer for each equation).

Answers

Answer:

1 quadric

2 linear

Step-by-step explanation:

plz make me brainliest

what is the algebraic expression of
1 less than the quotient of 7 and a number x

Answers

Answer:

(7 ÷ x) - 1

Step-by-step explanation:

i tried, i tried

The point on the graph show number of miles that Travis rode during the first 4 hours s

Answers

Answer:

20 miles in 2 hours

Step-by-step explanation:

The total number of miles is always 10 times the number of hours.

The ordered pair (2, 20) means that Travis rode 20 miles in 2 hours.

What are coordinates in a graph?

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

The y-axis is 100 units.

The x-axis is 10 units.

From the graph,

(2, 20) means 20 miles in 2 hours.

Thus,

The total number of miles is 100.

The total number of hours is 10.

(2, 20) represents 20 miles in 2 hours.

Learn more about coordinates here:

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Solve for x. (6x - 7) (10x - 47)​

Answers

Answer:

This is the answer!

What is the range of the data?
79, 52, 85, 94, 71, 82, 84, 66, 58, 98, 72, 100
A. 21
B. 48
C. 82
D. 100

Answers

Answer:

A. 21

Step-by-step explanation:

To find range you just take the highest number and subtracted by the lowest

Answer:

A

Step-by-step explanation:

Need help ASAP may have a reward
For you if you answer correctly :)
A.) 4
B.) -4
C.) 3
D.) -3

Answers

C, not 100% sure but yeah
I have a feeling it might be D

17.

The neighborhood park has a rectangular shape.What is the perimeter of the park?

Answers

Answer

There is not enough information given.

Explanation

All we know is that the neighborhood park has a rectangular shape. The length of each side is not defined. Without the length and width, you can't find the perimeter. There is not enough information given.

what number lies between -2 and -3​

Answers

Answer:

-2.5?

Step-by-step explanation:

Which are vertical angles? Check all that apply. ∠EAB and ∠BAC ∠EAB and ∠CAD ∠CAD and ∠FAE ∠CAB and ∠DAE ∠DAC and ∠DAE

Answers

*See attachment for the diagram

Answer:

B. ∠EAB and ∠CAD;

D. ∠CAB and ∠DAE

Step-by-step explanation:

Vertical angles are two angles formed directly opposite each other when two straight lines crosses or intercepts each other. Vertical angles are of equal measure to each other.

Thus, from the diagram given,

<CAD is vertically opposite to <EAB, also,

<CAB is vertically opposite to <DAE.

Thus, the vertical angles are:

∠EAB and ∠CAD;

∠CAB and ∠DAE

Answer:

B and D

Step-by-step explanation:

Hope it helps ^w^

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