Coordinates of Z if Y is the midpoint of XZ, X(10,9) and Y(-4,8)

Answers

Answer 1

Answer:

[tex]Z(x,y) = (-18,7)[/tex]

Step-by-step explanation:

Given

[tex]X = (10,9)[/tex]

[tex]Y = (-4,8)[/tex]

Required

Determine the coordinates of Z

From the question, we understand that Y is the midpoint

And the midpoint is calculated as:

[tex](x,y) = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

In this case:

[tex]Y(x,y) = (-4,8)[/tex]

[tex]X(x_1,y_1) = (10,9)[/tex]

[tex]Z = (x_2,y_2)[/tex]

So: This gives

[tex](x,y) = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

[tex](-4,8) = (\frac{10+x_2}{2},\frac{9+y_2}{2})[/tex]

Multiply through by 2

[tex](-8,16) = (10 + x_2,9+y_2)[/tex]

By comparison:

[tex]-8 = 10 + x_2[/tex] and [tex]16 = 9 + y_2[/tex]

Solving for x2

[tex]-8 = 10 + x_2[/tex]

[tex]-8 - 10 = x_2[/tex]

[tex]-18 = x_2[/tex]

[tex]x_2 = -18[/tex]

Solving for y2

[tex]16 = 9 + y_2[/tex]

[tex]16 - 9 = y_2[/tex]

[tex]7 = y_2[/tex]

[tex]y_2 = 7[/tex]

Hence, the coordinates of Z is:

[tex]Z(x,y) = (-18,7)[/tex]


Related Questions

BRAILLEST just help me answer

Answers

Answer:

Hello! What are the questions? You can type them in Comments and I will edit my answer :)

Step-by-step explanation:

Answer:

what are the questions I don't see any?

Step-by-step explanation:

Help ASAP WILL NSRK BRAINLIST IF CORRECT

Answers

Answer:

(1,1)

Step-by-step explanation:

Solve: look at the picture please

Answers

Answer:

No solution

I hope this helps!

Find the value x?
(2x-10)degree
(3x +20)degree (STEP explanation)​

Answers

Step-by-step explanation:

[tex]{:}\longrightarrow[/tex][tex]\sf 2x-10=3x+20 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 3x+20=2x-10[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 3x-2x=-10-20[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x=-30 [/tex]

Horizon Financial Inc. was organized on February 28. Projected selling and administrative expenses for each of the first three months of operations are as follows:

March $114,900
April 106,900
May 97,300
Depreciation, insurance, and property taxes represent $24,000 of the estimated monthly expenses. The annual insurance premium was paid on February 28, and property taxes for the year will be paid in June. 75% of the remainder of the expenses are expected to be paid in the month in which they are incurred, with the balance to be paid in the following month.

Prepare a schedule of cash payments for selling and administrative expenses for March, April, and May.

Answers

Answer:

Hey bro

Step-by-step explanation:

HELP!!!
What is the length of KL?
th
3x
Lx+6k

Answers

Answer:

KL =9cm

Step-by-step explanation:

IL = KL {being corresponding side of congruent triangle}

or, 3x = x+6

or, 3x-x = 6

or, 2x = 6

or, x = 6/2

or, x = 3cm

Now,

KL = x+6

= 3+6

=9cm

What is the determinant of? –18 –8 10 18

Answers

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[tex] \binom{ | - 18 \: \: \: \: \: - 8| }{ |10 \: \: \: \: \: \: \: \: \: \: \: \: \: \: 18| } = \\ [/tex]

[tex] - 18 \times18 - ( - 8 \times 10) = [/tex]

[tex] - 324 + 80 = - 244[/tex]

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Answer:

D

Step-by-step explanation:

Edge

Solve 5x -9= 90 step explanation ​

Answers

Answer:

x = 19.8

Step-by-step explanation:

5x - 9 = 90

5x = 90 + 9

5x = 99

x = 19.8

Hope this helped!

Answer:

19.8

Step-by-step explanation:

5x-9=90

Cancel the 9 on both sides, so you get:

5x=90+9

5x=99

x= 19.8

A bicycle with 24-inch diameter wheels is traveling at 16 mi/h. Find the angular speed of the wheels in radians per minute. ___ radians per minute
How many revolutions per minute do the wheels make? (Round your answer to three decimal places.) ___ revolutions per minute

Answers

Answer:

a) 2211.6812281 rad/min

b) 352 rpm

Step-by-step explanation:

A bicycle with 24-inch diameter wheels is traveling at 16 mi/h. Find the angular speed of the wheels in radians per minute. ___ radians per minute

How many revolutions per minute do the wheels make? (Round your answer to three decimal places.) ___ revolutions per minute

truck with 24-in.-diameter wheels is traveling at 16 mi/h.

---------

1 mile per hour = 88 feet per minute

16 mi/hr = 1408ft/minute

----------

Each revolution = pi*d feet = 4pi feet

(b) How many revolutions per minute do the wheels make?

rev/min

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

Each revolution = pi*d feet = 4pi feet

rpm = 1408 ft/min / 4pi feet

=~ 352 rpm

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

(a) Find the angular speed of the wheels in rad/min.

rad/min

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

rad/min = rpm*2*pi

= 352 rpm × 2× π

= 2211.6812281 rad/min

So, the wheels make [tex]224.20 \ rev/min[/tex].

Angular Sped:

Angular speed measures how fast the central angle of a rotating body changes with respect to time. It is expressed as,

[tex]\omega=\frac{\theta}{t}[/tex]

Given that:

Diameter[tex]=24 \ in[/tex]

Radius[tex]=12 \ in[/tex]

First, we have to find the angular speed([tex]\omega[/tex]):

We use the formula,

[tex]v=\omega r[/tex]

Substituting,

[tex]16 \ mi/hr=\omega \times 12 \ in[/tex]   ([tex]\therefore[/tex] [tex]1mile=63360inches, \ and \ 1hour=60min[/tex])

[tex]=\frac{16 \ mi\times \left ( 63360 \ in/mi \right )}{\left ( 1 \ hr\times 60 \ min/hr \right )}[/tex]

[tex]=\omega \times 12 \ in[/tex]

[tex]\Rightarrow 15840 \ in/min=\omega \times 12 \ in[/tex]

[tex]\omega =16896/12\\w=1408 \ rad/min[/tex]

Now, we have to find rev/min:

([tex]\therefore \ 1 \ revolution=2\pi[/tex])

Thus,

[tex]1408 \ rad/min\times1 \ rev/2\pi \ rad=224.20 \ rev/min[/tex]..

Learn more about the topic Angular Speed: https://brainly.com/question/25648667

by mathematical induction 1.2²+2.3²+.....+n(n+1)(n+2)(3n+5)/12​

Answers

Step-by-step explanation:

1.2+2.3+3.4+⋯+n(n+1)=∑k=1nk(k+1)

=∑k=1n(k2+k)

=∑k=1n(k2)+∑k=1n(k)

=n(n+1)(2n+1)6+n(n+1)2

=n(n+1)6(2n+1+3)

=n(n+1)6(2n+4)

=n(n+1)6[2(n+2)]

=n(n+1)(n+2)3

Each day billy runs on a treadmill for 5 km and runs in the outdoor track for 6000 m in all how many meters does Billy run each day

Answers

Answer:

11000 meters

Step-by-step explanation:

1km=1000m

5km=5000m

5000+6000=11000m

Can you guys help me pls

Answers

The slope would be y/x = 3/1 = 3
Answer: 3

Explanation: When answering a question like this check to see if the line is a negative slope : or a positive slope:

use the steps: RISE-over-RUN

FOR EXAMPLE- this would be rise 3 run 1

3/1 or 3 :)

show work and ill give u brainliest

Answers

Answer:

B. [tex]-2\frac{1}{2}[/tex]

Step-by-step explanation:

First you need to get the least common denominator of the left

-7 3/4 and 1/2 the LCD is 4 so...

(1/1) 3/4 = 3/4 (This doesn't have to change since the denominator is already 4)

(2/2) 1/2 = 2/4

Let's make -7 3/4 into an improper fraction = -31/4

Let's make -2 1/4 into an improper fraction = -9/4

Plug back in

-31/4 - 2w + 2/4 [tex]\leq[/tex] -9/4 (collect like terms)

-29/4 - 2w [tex]\leq[/tex] -9/4 (add 29/4 on both sides)

-2w = 5 (divide by -2)

w = -5/2 or -2 1/2

Hope this helps!!

If f(x)=8x+2, find the inverse *

Answers

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To find the inverse first we need to solve the equation for x ,

Then put x instead of y .

_________________________________

Let's do it...

[tex]f(x) = 8x + 2[/tex]

[tex]y = 8x + 2[/tex]

[tex]8x + 2 = y[/tex]

Subtract sides 2

[tex]8x + 2 - 2 = y - 2[/tex]

[tex]8x = y - 2[/tex]

Divide sides by 8

[tex] \frac{8x}{8} = \frac{y - 2}{8} \\ [/tex]

[tex]x = \frac{y - 2}{8} \\ [/tex]

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Thus ;

[tex] {f}^{ - 1} (x) = \frac{x - 2}{8} \\ [/tex]

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Hey guys I have a hard time with these questions. Can someone explain it to me? :)

Answers

The slope would be 0

This is basically how you do it if you need more help let me know

Answer:

Step-by-step explanation:

there are a couple ways to find slope

1. Rise over Run Method:

for this method, you use basic counting

to do this, you count the number of x spaces it takes the line to get from one y space to the next

for your line, the run is 3 because it takes 3 x spaces to get from one whole number to the next on the y spaces

you would say the rise is -1 because the line is going down, and it takes 3 x spaces to get the next pot that is on a y-axis increment

so we know the rise is -1 and the run is 3

if you put this into rise/run format, you get 1/-3

so -1/3 is you slope

2. Using the Coordinates

in this line, you see two points

the points are 1. (-1, -1), and 2. (2, -2)

using the coordinates means that you use a formula: [tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]

the y2 is the y value of the second coordinate (-2), the y1 is the y value of the first coordinate (-1)

the x2 is the x value of the second coordinate (2), the x1 is the x value of the  first coordinate (-1)

if you plug these it you get: -2 - (-1) / 2 - (-1)

this can be simplified to -2 + 1 / 2 + 1

and simplified again to -1/3

Qhat ever method you use, you should get the same answer. Using both methods is a good way to check your work.

What is the sum of the first 10 terms of the sequence:
10,5, 0, -5, -10...
A. 100
B. -125

Answers

Answer:

-125

Step-by-step explanation:

The answer is B . -125

Evaluate the function for f(x) = x + 3 and g(x) = x2 – 2.
(f + g)(t – 5)

Answers

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[tex]f(x) = x + 3[/tex]

[tex]g(x) = {x}^{2} - 2[/tex]

_________________________________

[tex](f + g)(x) = f(x) + g(x)[/tex]

[tex](f + g)(x) = (x + 3) + ({x}^{2} - 2 ) \\ [/tex]

[tex](f + g)(x) = {x}^{2} + x + 3 - 2[/tex]

[tex](f + g)(x) = {x}^{2} + x + 1[/tex]

_________________________________

[tex](f + g)(t - 5) = ({t - 5})^{2} + (t - 5) + 1 \\ [/tex]

[tex](f + g)(t - 5) = {t}^{2} - 10t + 25 + t - 5 + 1 \\ [/tex]

Collect like terms

[tex](f + g)(t - 5) = {t}^{2} - 9t + 21 \\ [/tex]

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Help me ASAP pls. it means the world to me

Answers

I don’t see a picture
Can u take a better picture i cant see the full question

Which angle is congruent to angle 3?


I would really appreciate it if someone could help and answer this problem:)

Answers

Answer:

Angle 6

Step-by-step explanation:

Angles on opposite ends are congruent if they are formed by the same two lines or in other words, if the two angles are vertical angles.

5 Carla packs 4 pairs of pants, 2 pairs of shorts, and 3 skirts for her vacation.
What is the ratio of skirts to pants? (1 point)
A 4:3
B 4:9
C 3:9
D 3:4
Curriculum Associates, LLC
SHOW YOUR WORK

Answers

Answer: 3:4
Explanation : there are 3 skirts and 4 pants. These numbers do not reduce down more so the ratio is 3:4

May someone help me with this please?!

Factor the polynomial function over the complex numbers.



f(x)=x4+3x2−4



Enter your answer in the box.

f(x)=

Answers

Answer:

14

Step-by-step explanation:

I am pretty sure its 14 if not im so sorry

Which inequality has the graph shown below?
Oy > 2x – 3
O y < 2x - 3
oy > 2x - 3
O y < 3x + 1

Answers

Answer:

The answer is y < 2x -3

Step-by-step explanation:

You can read this as all values on the graph will be the value of x times 2 minus 3..

For example, if we wanted to know what the value of y would be if x =2, we would plug in 2 and get 2(2) - 3 or just 1. We can see at the graph that when x = 2 y does equal 1. **In this situation we are pretending that the < symbol is the equal symbol..

To actually find the answer you can graph each equation until you find it or do it this way:

1) Find the slope and determine if it it works for the given graph.

We can see that the slope of the given graph is positive and if we look closer we can see that the slope is 2 over  and that we have a y-intercept of (0,-3).

2) We know that it is Option 2 instead of the first option because o the < sign. If it was option 1, then the shaded part of the graph would be on the other side of the line.

The inequality has the graph shown in the question. is to be considered as the  y < 2x -3.

Calculation of an inequality function:

Since

First determine the slope

So we can see that the slope of the given graph should be positive and then the slope should be 2 over and there is y-intercept of (0,-3).

So based on this, we can say that The inequality has the graph shown in the question. is to be considered as the  y < 2x -3.

Learn more about y-intercept here: https://brainly.com/question/15587122

A disc jockey at a school dance has equal numbers of rock and pop songs that she randomly selects from. She designs a simulation to estimate the probability that the next three songs are all rock songs.

Which simulation design could she use to estimate the probability?

A. Number cube

Let 1,2,3,4 = rock
Let 5,6 = pop

Roll cube three times. Repeat.


B. Random Digits

Let 0,1,2,3 = rock
Let 4,5,6,7,8,9 = pop

Select three random digits. Repeat

C. Number cube

Let even number = rock
Let odd number = pop

Roll cube three times. Repeat


D. Number cube

Let 1 = rock
Let 2 = pop

Roll cube three times. Repeat

Answers

Answer:

number cube

let even number= country

let odd number= not country

roll cube three times. repeat.

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

Step-by-step explanation:

a p e x :))

The simulation design could she use to estimate the probability is;

C. Number cube

Let even number = rock

Let odd number = pop

Roll cube three times. Repeat

Probability SimulationWe are told that school dance has equal numbers of rock and pop songs that she randomly selects.

If she wants to estimate the probability that the next three songs are all rock songs, what she can do is to assign specific type of digits to each type of song.

For example she can say she wants rock song to be even numbers and pop sons to be represented by odd numbers.

The reason why I used even and odd numbers is because we are told that there are equal number of POP and rocks songs and from 0 to 9, we have equal number of even and odd numbers.

Looking at the options, the only one that corresponds to our simulation is option C.

Read more about probability simulation at; https://brainly.com/question/10333446

What is the value of angle PDV

Answers

Answer:

9y+7=2y+98

7y+7=98

7y = 91

y = 13

m<PDV = 2y+98

             = 2(13)+98

             = 26+98

             = 124

What is the simplified value of the exponential expression 27}?
оооо
3
9
1/3
1/9

Answers

Note: Your exponential expression seems a little unclear. Because 27 is not an exponential expression.

But, I am assuming that your exponential expression is:

[tex]\:27^{\frac{1}{3}}[/tex]

The reason is that my solution would still clear your concept about this topic, no matter what the question is.

Answer:

The simplified value of the exponential expression is:

[tex]27^{\frac{1}{3}}=3[/tex]

Step-by-step explanation:

Assuming the exponential expression

[tex]\:27^{\frac{1}{3}}[/tex]

[tex]\mathrm{Factor\:the\:number:\:}\:27=3^3[/tex]

[tex]=\left(3^3\right)^{\frac{1}{3}}[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(a^b\right)^c=a^{bc},\:\quad \:a\ge 0[/tex]

[tex]\left(3^3\right)^{\frac{1}{3}}=3^{3\cdot \frac{1}{3}}[/tex]

[tex]=3^{3\cdot \frac{1}{3}}[/tex]

[tex]=3^1[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^1=a[/tex]

[tex]=3[/tex]

Therefore, the simplified value of the exponential expression is:

[tex]27^{\frac{1}{3}}=3[/tex]

Which expression is equivalent to StartFraction b Superscript negative 2 Baseline Over a b Superscript negative 3 Baseline EndFraction? Assume a not-equals 0, b not-equals 0.
StartFraction a Over b Superscript 5 Baseline
StartFraction 1 Over a b Superscript 5 Baseline Endfraction
StartFraction a cubed b Over 1 EndFraction
StartFraction b Over a EndFraction

Answers

Answer:

D. [tex] = \frac{b}{a} [/tex]

Step-by-step explanation:

Given:

[tex] \frac{b^{-2}}{ab^{-3}} [/tex]

Required:

Assuming a ≠ 0, b ≠ 0, find the expression equivalent to the given expression.

SOLUTION:

[tex] \frac{b^{-2}}{ab^{-3}} [/tex]

Recall the exponent rule =>  [tex] \frac{x^{a}}{x^{b}} = x^{a - b} [/tex]

Applying the exponent rule, we would have:

[tex] \frac{b^{-2 -(-3)}}{a} [/tex]

[tex] = \frac{b^{-2 + 3}}{a} [/tex]

[tex] = \frac{b^{1}}{a} [/tex]

[tex] = \frac{b}{a} [/tex]

Thus, the equivalent expression of [tex] \frac{b^{-2}}{ab^{-3}} [/tex] = [tex] \frac{b}{a} [/tex]

Answer:

d

Step-by-step explanation:

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Input the equation of the given line.

The line including (4, 7) and (0, 7).

Answers

Answer:

[tex]y=7[/tex]

Step-by-step explanation:

First, let's use the two given points to find the slope. Remember the slope equation:

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

[tex]m=\frac{7-7}{0-4}[/tex]

[tex]m=\frac{0}{-4}[/tex]

[tex]m=0[/tex]

If we're following slope-intercept form, what we have so far is

[tex]y=0x+b[/tex]

Substitute one of the given points for the [tex]x[/tex] and [tex]y[/tex] values in order to find [tex]b[/tex]:

[tex]7=0(4)+b[/tex]

[tex]7=b[/tex]

Now, if we put that back into our slope-intercept equation we get

[tex]y=0x+7[/tex]

or,

[tex]y=7[/tex]

Right off the bat, we can see how we ended up with this equation because both points have the same y-values. This indicates a horizontal line.

I hope this helps!

the sum of (n + 8) + (n − 12)

Answers

Answer:

n+8+n-12=

simplyfiy=2n+20

Step-by-step explanation:

Ya'll just have to simplify the expression and add the like terms together. hope I helped

Baby Victor wants to arrange 7 blocks in a row?How many different arrangements can the baby make?

Answers

Answer:

there are 5040 arrangements.

Step-by-step explanation:

i hope this works

A weightlifter holds a 1,300 N barbell 1 meter above the ground. One end of a 2-meter-long chain hangs from the center of the barbell. The chain has a total weight of 600 N. How much work (in J) is required to lift the barbell to a height of 2 m?

Answers

Answer: 1750J

Step-by-step explanation:

The work done that will be used to loft the barbell and the hanging chain will be:

W1 = (1300 + (1/2 × 600))

= 1300 + 300

= 1600J

The work done that'll be used in lifting the upper part of the chain will be:

W2 = (1/2 × 600) × (1/2 × 1).

= 300 × 0.5

= 150J

Total work down will be:

=W1 + W2

= 1600J + 150J

= 1750J

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