One endpoint of a line segment has coordinates represented by (x+4,1/2y). The midpoint of the line segment is (3,−2).

How are the coordinates of the other endpoint expressed in terms of x and y?

Answers

Answer 1

Answer:

[tex]\displaystyle \left(-x+2, -\frac{1}{2}y-4}\right)[/tex]

Step-by-step explanation:

We are given that one of the endpoints of the line segment is:

[tex]\displaystyle \left( x + 4, \frac{1}{2}y\right)[/tex]

And that the midpoint of the line segment is (3, -2).

And we want to find the other coordinates in terms of x and y.  

We can consider using the midpoint formula:

[tex]\displaystyle M = \left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)[/tex]

We are given that the midpoint is (3,-2). Substitute:

[tex]\displaystyle (3, -2) = \left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)[/tex]

We can solve for each coordinate independently.

x-coordinate:

We have:

[tex]\displaystyle 3=\frac{x_1+x_2}{2}[/tex]

One of the two endpoints is (x + 4, 1/2y). Hence, we can substitute x + 4 for x₁:

[tex]\displaystyle 3=\frac{(x+4)+x_2}{2}[/tex]

Solve for the second x-coordinate x₂:

[tex]\displaystyle \begin{aligned} 6 & = x+4 + x_2 \\ \\ x_2 + x & = 2 \\ \\ x_2 & = -x +2 \end{aligned}[/tex]

Hence, the x-coordinate of the second point is -x + 2.

y-coordinate:

We have:

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

We can substitute 1/2y for y₁. This yields:

[tex]\displaystyle -2=\frac{\dfrac{1}{2}y+y_2}{2}[/tex]

Solve for y₂:

[tex]\displaystyle \begin{aligned} -4 & = \frac{1}{2}y + y_2 \\ \\ y_2 & = -\frac{1}{2}y - 4\end{aligned}[/tex]

In conclusion, the other coordinate expressed in terms of x and y is:

[tex]\displaystyle \left(-x+2, -\frac{1}{2}y-4}\right)[/tex]

Answer 2

Answer:

This is for a different question the answer above is correct because I used it steps. Now the question below is similar and is on the test.

Step-by-step explanation:

One Endpoint Of A Line Segment Has Coordinates Represented By (x+4,1/2y). The Midpoint Of The Line Segment

Related Questions

Please help me I have no idea what the answer is

Answers

Answer:

hi

Step-by-step explanation:

IDK WHY IT SAYS IM A COLLEGE PERSON IM NOT BUT UM I NEED HELP WITH THIS PLEASEEEEEE

Answers

Answer:

option 3

Step-by-step explanation:

Answer:

it's option 3 i think

Step-by-step explanation:

(y^3)^2 without exponents​

Answers

Answer:

y^6

Step-by-step explanation:

Answer:

[tex]y^{6}[/tex]

Step-by-step explanation:

Step 1:

( y³ )²       Equation

Step 2:

[tex]y^{3 * 2}[/tex]        Multiply

Answer:

[tex]y^{6}[/tex]

Hope This Helps :)

This is what I meant to ask lol

Answers

Answer:

false

Step-by-step explanation:

theyre not proportional because 100*2=200 but 35*2 is not 45 :)

Answer:

True

Step-by-step explanation:

The miles column is increasing steadily by 100The cost column is increasing steadily by 10Neither column is changing the amount that's being increased and neither is decreasing after an increase, therefore, the answer is true.

I hope this helps!

If x = 34, y = 53, and the measure of AC = 4 units, what is the difference in length between segments AB and AD? Round your answer to the nearest hundredth.


0.74 units
1.17 units
1.64 units
2.14 units

Answers

Answer:

2.14 units

Step-by-step explanation:

TO FIND AB:

sin 34=AC/AB

AB=AC/sin34=4/sin34=7.15

TO FIND AD:

sin 53=AC/AD

AD=AC/sin53=4/sin53=5.00

difference in length:

AB-AD=7.15-5.00=2.14 units

Answer:

the answer is 2.14 units

Step-by-step explanation:

took the test and got it right

Brainliest pls

Find the value of x:

Answers

X equals 14 because D+ he is 14°
X = 14 use the graph

Consider the sequence of steps to solve the equation:
7x
5(x - 3) =
Step 1 = 10(x - 3) = 7x
Step 2 = 10x - 30 = 7x
Step 3 = 3x - 30 = 0
Step 4 = 3x = 30
Step 5 = x= 10
Identify the property of equality which yields Step 5.

A)
Division Property
B)
Addition Property
C)
Subtraction Property
D)
Multiplication Property

Answers

The answer is d I’m pretty sure
I think it is D for sure

Your office window is a = 55 feet high. Looking out your window, you find that the top of a statue lines up exactly with the bottom of a building that is b = 700 horizontal feet from your office. You know that the statue is c = 225 feet from the building. How tall is the statue? (See the figure below. Round your answer to two decimal places.)

Answers

Answer:

nothing

Step-by-step explanation:

nothing will come because there is no figure

2(x-5)=4x+7
solve for x

Answers

Answer:

x=-6

Step-by-step explanation:

Can someone help me I really need it

Answers

Answer:

No, the figures are similar but not congruent as although width is same, length of fig A is 3 blocks while length of fig. B is 4 blocks. For two fig. to be congruent, their l and b should be eql.

Hope u find this ans useful.

Pls mark me brainliest

A car rental company charges a daily rate of $ 23 plus $ 0.20 per mile for a certain car. Suppose that you rent that car for a day and your bill (before taxes) is $ 44.00. How many miles did you drive?

Answers

Answer:           105 miles

(44-23)/0.20

Evaluate $\frac{33}{33\frac 13}$. Express your answer as a fraction in simplest form. (Thus the numerator and denominator should be integers whose greatest common divisor is $1$.)

Answers

Answer:

[tex]\dfrac{99}{100}[/tex]

Step-by-step explanation:

We need to evaluate [tex]\dfrac{33}{33\frac 13}[/tex]. Here, 33 is numerator and [tex]33\dfrac{1}{3}[/tex].

Firstly, we will solve the denominator.

[tex]33\dfrac{1}{3}=\dfrac{33\times 3+1}{3}\\\\=\dfrac{100}{3}[/tex]

The given expression becomes,

[tex]\dfrac{33}{33\frac 13}=\dfrac{33}{\dfrac{100}{3}}\\\\=\dfrac{33\times 3}{100}\\\\=\dfrac{99}{100}[/tex]

Hence, the required answer is 99/100.

Are these ratios equivalent?
16 shipments every 6 years
8 shipments every 3 years
yes
no

Answers

Answer: Yes

Step-by-step explanation:

If you do 16/6 you get 2.667 and if you do 8/3 you also will get 2.667


Write a number that has a 3 that is 10
times the value of the 3 in 7.31
Your answer

Answers

Answer:

3

Step-by-step explanation:

7.31

3 in the tenths place

3 = 3/10 or 0.3

0.3*10=3

answer : 3
explain: 7.31
3 is in 10 place so
3= 3/10 or 0.3 ;)

3. A change machine contains nickels, dimes, and
quarters. There are 75 coins in the machine, and the
value of the coins is $7.25. There are 5 times as
many nickels as dimes. How many quarters are in
the machine?
Equation #1:
Equation #2:
Equation #3:
# of quarters:

Answers

Answer:

50 nickels 10 dimes 15 quarters

Step-by-step explanation:

im pretty sure

HELP!!! Which of the following best describes the slope of the line below?

Answers

Answer:

C. Negative

Step-by-step explanation:

A quick reminder: an undefined slope makes the line vertical, a slope of 0 makes the line horizontal, a positive slope makes the line go up as x increases, and a negative slope makes the line go down as x increases.

In this case, the line is going down as x increases, meaning the slope must be negative.

I NEED THIS NOW! PLZ HELP! 1ST GETS BRAINLIEST! PLZ USE THE 3-READ PROTOCOL
manny has 1/2 of a yard of a fabric with which he intends to make bookmarks. each bookmark is made from 1/8 yard of fabric. how many bookmarks can manny make?

Answers

Answer:

Manny can make 4 bookmarks

Step-by-step explanation:

1/2 ÷ 1/8 = ?

(flip the second fraction and multiply)

1/2 x 8/1 = 8/2 = 4

Which of the following functions has a graph that passes through the origin? Select all that apply.
A. power; y equals x superscript n baseline
B. root; y equals Root Index n Start Root x End Root
C. reciprocal; y equals Start Fraction 1 over x End Fraction
D. exponential; y equals b superscript x baseline

Answers

Answer: a and b

power and root

Pls help me slove this -2 1/3 - (-5) =

Answers

Answer:

4/3

Step-by-step explanation:

-2 1/3= -7/3

-5=-15/3

Answer:

If I'm reading this correctly, -2.33 or -2 1/3 - (-5) should equal to 2 2/3

Step-by-step explanation:

Since a minus sign is close to the minus sign inside the parantheses, you should turn the minus sign into a plus, giving you -2 1/3 + 5 which should equal to 2 2/3. Hope this helps

answer for brainliest ! <3

Answers

Answer:

1: p=(2,4) q=(1,1) r=(5,2)

2 I am so sorry. the changing in the shape is not any transformation I've heard of before.

3:90 degree rotation (Counterclockwise.)

4: 180 degree rotation (doesn't matter which way.)

5: 90 degree rotation (clockwise)

6: Up 9 units, over 2 units to the right.

Hope this helps!!

Find the value of x.
(7x + 16)
80°
The value of x is

Answers

i plugged it into conects & it told me this, hope it helps

What is the correct decimal point placement for the product of 3.54 × 15.42? 54.5868 545.868 5458.68 54586.8

Answers

9514 1404 393

Answer:

  54.5868

Step-by-step explanation:

The multiplicands each have 2 digits to the right of the decimal point, so the product will have 2+2 = 4 digits to the right of the decimal point. The correct placement is ...

  54.5868

__

Another way to tell is that the product is in the neighborhood of 3·15 = 45, which is nowhere near 545 or 5458 or any higher value.

Answer: 54.5868

Since 3 x 15 is already 45, now we have to multiply the decimals, but we must put a point.

.54 x .42 = 9.5868

45 + 9.5868 = 54.5868.

Hope this helps!

3+3+3
Please Help....

Answers

Answer:

9

Step-by-step explanation:

3+3+3= 9 or you could just do 3x3

f(x)=2|5x+7|−1, evaluate f(−4)

Answers

Answer:

Step-by-step explanation:

f(x) = 2 |5(-4)+7| -1

     = 2 |(-20)+7| -1

     = 2 | -13 | -1

     = 26 - 1

     = 25

A function assigns the value of each element of one set to the other specific element of another set. The value of the function f(-4) is 25.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

The value of f(-4) can be evaluated by substituting the value of x as -4 in the given function, therefore, the value of f(-4) can be written as,

f(x) = 2|5x+7| − 1

f(-4) = 2|5(-4)+7| − 1

      = 2|-20 + 7| - 1

      = 2|-13| - 1

      = 2(13) - 1

      = 26 - 1

      = 25

Hence, the value of the function f(-4) is 25.

Learn more about Function here:

https://brainly.com/question/5245372

#SPJ2

In an effort to make children’s toys safer and more tamperproof, toy packaging has become cumbersome for parents to remove in many cases. Accordingly, the director of marketing at Toys4Tots, a large toy manufacturer, wants to evaluate the effectiveness of a new packaging design that engineers claim will reduce customer complaints by more than 10 percentage points. Customer satisfaction surveys were sent to 220 parents who registered toys packaged under the old design and 220 parents who registered toys packaged under the new design. Of these, 86 parents expressed dissatisfaction with packaging of the old design, and 41 parents expressed dissatisfaction with packaging of the new design.
Let p1 represent the population proportion of parents that expressed dissatisfaction with the packaging of the old design and p2 represent the population proportion of parents that expressed dissatisfaction with the packaging of the new design.
A. Specify the null and alternative hypotheses to test for whether the proportion of customer complaints has decreased by more than 5% under the new packaging design.
1. H0 : p1 - p2 < 0.10; HA : p1 - p2 > 0.10
2. H0 : p1 - p2 = 0.10; HA : p1 - p2 is not equal to 0.10
3. H0 : p1 - p2 > 0.10; HA : p1 - p2 < 0.10
B. What is the value of the test statistic and the associated p-value?
C. At the 1% significance level, do the results support the engineers' claim?
D. At the 10% significance level, do the results support the engineers' claim?

Answers

Answer:

Explained below.

Step-by-step explanation:

(a)

In this case we need to determine if the proportion of customer complaints has decreased by more than 10% under the new packaging design.

The hypothesis can be defined as follows:  

H₀: The proportion of customer complaints has not decreased by more than 10% under the new packaging design, i.e. p₁ - p₂ ≤ 0.10.  

Hₐ: The proportion of customer complaints has decreased by more than 10% under the new packaging design, i.e. p₁ - p₂ > 0.10.  

(b)

The information provided is:

n₁ = 220

n₂ = 220

X₁ = 86

X₂ = 41

Compute the sample proportions and total proportions as follows:

[tex]\hat p_{1}=\frac{X_{1}}{n_{1}}=\frac{86}{220}=0.3909\\\\\hat p_{2}=\frac{X_{2}}{n_{2}}=\frac{41}{220}=0.1864\\\\\hat P=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{86+41}{220+220}=0.2886[/tex]

Compute the test statistic value as follows:

 [tex]z=\frac{\hat p_{1}-\hat p_{2}}{\sqrt{\hat P(1-\hat P)[\frac{1}{n_{1}}+\frac{1}{n_{2}}]}}[/tex]

   [tex]=\frac{0.3909-0.1864}{\sqrt{0.2886(1-0.2886)\times[\frac{1}{220}+\frac{1}{220}]}}\\\\=\frac{0.2045}{\sqrt{0.0018665}}\\\\=4.733524\\\\\approx 4.73[/tex]

The test statistic value is 4.73.

Compute the p-value as follows:

[tex]p-value=P(Z>4.73)[/tex]

               [tex]=1-P(Z<4.73)\\=1-(\approx 1)\\=0[/tex]

The p-value of the test is 0.

(c)

The decision rule is:

The null hypothesis will be rejected if the p-value of the test is less than the significance level.

p-value = 0 < α = 0.01.

The null hypothesis will be rejected at 1%significance level.

Thus, there is enough evidence at 1% significance level to support the engineers' claim.

(d)

The decision rule is:

The null hypothesis will be rejected if the p-value of the test is less than the significance level.

p-value = 0 < α = 0.10.

The null hypothesis will be rejected at 10%significance level.

Thus, there is enough evidence at 10% significance level to support the engineers' claim.

Create a word problem using the math sentence below. Make sure you write in complete sentences. -25 + (-35)

Answers

Step-by-step explanation:

john put 25 dollars in a jar and his wife put 35 dollars in the savings jar as well so save for there trip coming up

Answer:

Sally borrowed twenty-five dollars from Alex to buy a movie at the store. Later, she borrowed another thirty-five dollars to buy ride tickets at the state fair. How much money does she owe Alex?

Step by-step explanation:

When you have an even number of negative numbers in an equation, the answer will always be positive. When there's an odd number of negative numbers, the answer will be negative. For a problem like this, you can ignore the negative signs and focus on the numbers. 25+35 is 60, so Sally owes Alex 60 dollars.

                  Hope this helps!

describe the steps to determining and graphing a translation.

Answers

Answer:

A TRANSLATION OF A GRAPH is its rigid movement, vertically or horizontally. On the left is the graph of the absolute value function. On the right is its translation to a "new origin" at (3, 4). y = |x|.

Robert and Dora need to write 4,300,000,000 using scientific notation. Robert claims that 4,300,000,000 = 4.3 x 108 and Dora claims that 4,300,000,000 = 4.3 x 109. Which of the following best describes whose number is correct and the reason it is correct?

Answers

Answer:

Robert is correct

Step-by-step explanation:

we know in scientific notation a positive number goes to the right and if we do 4.3 and we go back the spaces it would be nine spaces so it would be 4.3 X 109


Evaluate:

54 - 75 + 81 - (-27) + 53

Answers

Answer:

140

Step-by-step explanation:

Answer:

140.

Step-by-step explanation:

PEMDAS.

Since there isn't any problems that aren't adding, we can just do it step by step.

54 - 75.

-21.

Add 81.

60.

Subtract -27.

87.

Add 53.

140.

Brainiest?

Find value of x, first gets brain

Answers

Answer:

53

Step-by-step explanation:

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