The coordinates of point T are (0,3). The midpoint or ST is (1,4). Find the coordinates of point S.


The other endpoint is _

(type an ordered pair)

Answers

Answer 1

Answer:

[tex]S = (2,5)[/tex]

Step-by-step explanation:

Given

[tex]T = (0,3)[/tex]

[tex]Midpoint (M) =(1,4)[/tex]

Required

Determine the other end point (S)

Midpoint is calculated as thus:

[tex]M(x,y) = (\frac{S_x + T_x}{2},\frac{S_y + T_y}{2})[/tex]

This gives:

[tex](1,4) = (\frac{S_x + 0}{2},\frac{S_y + 3}{2})[/tex]

[tex](1,4) = (\frac{S_x}{2},\frac{S_y + 3}{2})[/tex]

Multiply through by 2

[tex]2 * (1,4) = (\frac{S_x}{2},\frac{S_y + 3}{2}) * 2[/tex]

[tex](2,8) = (S_x,S_y + 3)[/tex]

By comparison:

[tex]S_x = 2[/tex]

[tex]S_y + 3 = 8[/tex]

[tex]S_y = 8 - 3[/tex]

[tex]S_y = 5[/tex]

Hence:

The coordinates of S is

[tex]S = (2,5)[/tex]


Related Questions

Before adding the following fractions, you need to find the common ? 2/3 + 1/6 =

Answers

Answer:

denominator

Step-by-step explanation:

Answer:

5/6

Step-by-step explanation:

2/3×2/2 + 1/6

4/6 + 1/6

5/6

Today I am 6 years less than half my fathers age. In 6 years, I will be 6 years more than 1/3 my father's age. How old was my father when I was born?

Answers

The answer fam is........ 30

The case of pears cost $21.95 but I purchased it for 10% off. What did I pay for the case of pears?

Answers

Answer:

you paid 19.75 dollars

Step-by-step explanation:

2. What is the difference?
Complete the subtraction sentence.
5-5=

Answers

Answer:

0

Step-by-step explanation:

is -45 less than,greater than or equal to -50?

Answers

greater than.

mistype

Answer:

It is greater than -50

Step-by-step explanation

Since that -45 is more closer to 0, It will greater than -50.

write the number whose prime factorization is give: 2×2×2×7​

Answers

Answer:

56

Step-by-step explanation:

Multiply it out 2×2×2×7 = 56

Rectangle A’B’C’D’ is the image of rectangle ABCD after which of the following rotations?

Answers

Answer:

You're right!

Step-by-step explanation:

Answer:

Were you right?

Step-by-step explanation:

4.11. According to a survey conducted by Netpop Research, 65% of new-car buyers use online search engines as part of their car-buying experience. Another study reported that 11% of new-car buyers skip the test drive. Suppose 7% of new-car buyers use online search engines as part of their car-buying experience and skip the test drive. If a new-car buyer is randomly selected a. What is the probability that the buyer used an online search engine as part of the car-buying experience or skipped the test drive

Answers

Answer:

Prob (Online search or Skip test drive) = 0.69

Step-by-step explanation:

Prob (Online search) = P(OS) = 65% = 0.65

Prob (Skip test drive) = P (STD)  11% = 0.11

Prob (Online search & Skip test drive) = P (OS ⋂ STD) =  7% = 0.07

Prob (Online search or Skip test drive) = P (OS U STD) :-

P(OS) + P (STD) -  P (OS ⋂ STD)  

= 0.65 + 0.11 - 0.07  

= 0.69

Evaluate the expression m/2 + m
m=14.

Answers

Answer:

plug in m

14/2 + 14

7 + 14

21

Step-by-step explanation:

I ran 3 1/4 miles in 30 minutes how fast was I going

Answers

If you ran 3 1/4 miles in thirty minutes than you ran 6 2/4 miles per hour

3) 4 pounds of meat cost $18. How much will 10 pounds of the same meat cost?​

Answers

Answer:

$45

Step-by-step explanation:

4 lbs = $18

2 lbs = $9

10 lbs = $45

Answer:

If 4 pounds cost $18. you gotta find the cost of 1 pound

divide 18 by 4 = 4.5

and 4.5 times 10 is: 45

Step-by-step explanation:

$45 dollars for 10 pounds!

Hope this helps!

Pls mark brainliest

Please help if possible!! Really need help

Answers

Answer:

it is a x= 40 degrees

Step-by-step explanation:

1. A daycare center charges a $100 sign up fee, plus $50 per week. Write an equation that represents the total cost, f(x), for x weeks.

f(x) = _____x + ______


a. Identify the rate of change and interpret its meaning in the context of the problem.



b. Identify the y-intercept and interpret its meaning in the context of the problem.



c. What does x represent? What does f(x) represent?



d. Find the cost for a baby to attend daycare for 12 weeks. Write your answer using function notation.



e. Calculate f(-3). Explain what this question is asking you to find in the context of the problem, then discuss the reasonanbleness of this question and its answer.

Answers

Answer:

f(x)=50x+100

a)rate of change is 50

b)y-intercept is 100

c)x represents the no. of weeks

f(x) represents the  the total cost for x weeks.

d)f(12)=700

e)Cost and week cannot be negative

Step-by-step explanation:

Sign up fee at daycare = $100

Cost of 1 week = 50

Cost of x weeks = 50 x

So, Total cost = 100+50x

Thus f(x)=50x+100

a)

General equation : y=mx+c

m = slope = rate of change

On comparison

m = 50

So, rate of change is 50

50 is the cost of daycare per week

b)

y intercept : y intercept is a point where a line 's graph intersects (crosses) the Y-axis i.e. x=0

Substitute x = 0 in equation

f(x)=50(0)+100

f(0)=100

So, y-intercept is 100

$100 is a signup fee

c)

x represents the no. of weeks

f(x) represents the  the total cost for x weeks.

d)

Substitute x = 12

So, Cost for a baby to attend daycare for 12 weeks:

f(12)=50(12)+100

f(12)=700

e)

f(-3)=50(-3)+100=-50

Here it is asking about negative 3 weeks which is not possible

Since no. of weeks cannot be negative

On solving we are getting the negative total cost

Cost and week cannot be negative

Last summer a sports club had 96 members this summer due to renovations it has 72 members what was the percent decrease?

Answers

Answer:

25%

Step-by-step explanation:

The answer would be 25% because to get your answer you have to

first subtract the original amount by the newest amount which in this case is

96-72=?

After you have subtracted this you will get you answer of 24

96-72=24

Ans than what you do is take the number of how many people left and put it on top of the original amount like this

24/96 so in other words dividing

Than you will get your answer of 25%

What is mAngleMHJ? HELP pLEASE

35°
50°
72.5°
92.5°

Answers

Answer:

50°

Step-by-step explanation:

1) Opposite angles are the same. Therefore,

2x-20=x+15

2x-x=15+20

x=35

2) Put x back in the equation for angle mhj

2(35)-20=50

Janet's dog weighs 18.2 pounds. Charlie's dog weighs 7.4 pounds. About how much more does Janet's dog weigh than
Charlie's dog?
25 pounds
26 pounds
11 pounds
10 pounds

Answers

Answer:

11 Pounds

Step-by-step explanation:

Since it says "about how much" we can round 18.2 to 18 and 7.4 to 7 then we subtract 18-7=11

That means the answer would be 11 pounds.

Hope that helps and have a great day!

Consider matrix A.


A=[−385−123]


What matrix results from the elementary row operations represented by −3R2+4R1?


Enter your answer by filling in the boxes.

Answers

Answer:

[tex]\left[\begin{array}{ccc}-3&8&5\\-9&26&11\end{array}\right][/tex]

Step-by-step explanation:

Given the matrix A

[tex]\left[\begin{array}{ccc}-3&8&5\\-1&2&3\end{array}\right][/tex]

We are to find the matrix that results from the elementary row operations represented by −3R2+4R1

R2 means row 2

R1 means row 1

Applying the elementary row operation will change the second row of the matrices.

For the first column, second row (a₂₁)

If R1 = -3, R2 = -1

a₂₁ = -3R2+4R1

a₂₁ = -3(-1)+4(-3)

a₂₁ = 3-12

a₂₁ = -9

For a₂₂

If R1 = 8, R2 = 2

a₂₂ = -3R2+4R1

a₂₂ = -3(2)+4(8)

a₂₂ = -6+32

a₂₂ = 26

For a₂₃

If R1 = 5, R2 = 3

a₂₃ = -3R2+4R1

a₂₃ = -3(3)+4(5)

a₂₃ = -9+20

a₂₃ = 11

Hence the resulting matrix will be:

[tex]\left[\begin{array}{ccc}-3&8&5\\-9&26&11\end{array}\right][/tex]-3R2+4R1

Answer:

[-3       5  2]

[-36  23  -1]

Step-by-step explanation:

Note abidemiokin did the steps right just has the "given" wrong.

Given the matrix A

[-3  5  2]

[ 8 -1   3]

We are to find the matrix that results from the elementary row operations represented by −3R2+4R1

R2 means row 2

R1 means row 1

Applying the elementary row operation will change the second row of the matrices.

For the first column, second row (a₂₁)

If R1 = -3, R2 = 8

a₂₁ = -3R2+4R1

a₂₁ = -3(8)+4(-3)

a₂₁ = -24-12

a₂₁ = -36

For a₂₂

If R1 = 5, R2 = -1

a₂₂ = -3R2+4R1

a₂₂ = -3(-1)+4(5)

a₂₂ = 3+20

a₂₂ = 23

For a₂₃

If R1 = 2, R2 = 3

a₂₃ = -3R2+4R1

a₂₃ = -3(3)+4(2)

a₂₃ = -9+8

a₂₃ = -1

Hence the resulting matrix will be:

[-3       5  2]

[-36  23  -1]   -3R2+4R1

Plot point F so that △ABC ≅ △FGH. Identify a sequence of rigid motions that maps △ABC onto △FGH and use a theorem to complete the explanation of why the triangles are congruent.

Answers

Answer:

Step-by-step explanation:

Point F is plotted at (5, 4)

Translate ΔABC so that point B maps to point G.

B(1, -1) → G(0, 3)  

Rule for the translation,

(x, y) → [x - 1, y + 4]

By this rule,

Point C will map the point,

C(-1, -2) → C'[(-1 - 1), (-2 + 4)]

             → C'(-2, 2)

A(-4, 0) → A'[(-4 - 1), (0 + 4)]

           → A'(-5, 4)

Now reflect these points across y-axis.

Rule for the reflection across y-axis,    

(x, y) → (-x, y)

Points after reflection will be,

A'(-5, 4) → F(5, 4)

B'(0, 3) → G(0, 3)

C'(-2, 2) → H(2, 2)

Distance formula,

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

AB = [tex]\sqrt{(1+4)^2+(-1-0)^2}[/tex] = [tex]\sqrt{26}[/tex]

BC = [tex]\sqrt{(-2+1)^2+(-1-1)^2}[/tex] = [tex]\sqrt{5}[/tex]

CA = [tex]\sqrt{(-4+1)^2+(-2-0)^2}[/tex] = [tex]\sqrt{13}[/tex]

FG = [tex]\sqrt{(5-0)^2+(4-3)^2} =\sqrt{26}[/tex]

GH = [tex]\sqrt{(2-0)^2+(2-3)^2}=\sqrt{5}[/tex]

HF = [tex]\sqrt{(4-2)^2+(5-2)^2}=\sqrt{13}[/tex]

AB ≅ FG, BC ≅ GH, CA ≅ HF          

By the SSS property Triangle congruence theorem, ΔABC ≅ ΔFGH

Solve the following equation
4(3-2x)=15

Answers

Answer:x= -3/8

Step-by-step explanation:

Answer:

-3/8

Step-by-step explanation:

4(3-2x)=15

-3/8

Solve. x+y+z=−4 2x+3y−2z=10 −x+2y−3z=−12 Enter your answer, in the form (x,y,z), in the boxes in simplest terms. ( , , )

Answers

Answer:

(13, -10, -7)

Step-by-step explanation:

Given

x+y+z=−4 .................. 1

2x+3y−2z=10 .................... 2

−x+2y−3z=−12 ................... 3

Reduce the equation to two equations, two unknowns:

Add eqn 1 and 3

y+2y+(z-3z) = -4-12

3y - 2z = -16 .......... 4

Also multiply eqn 3 by 2:

−2x+4y−6z=−24 ................... 5

Add 2 to 5:

3y+4y+ (-2z-6z) = 10-24

7y-8z = -14 ............... 6

Equate 4 and 6

3y - 2z = -16 .......... 4 * 4

7y-8z = -14 ............... 6 * 1

...............................................

12y - 8z = -64

7y-8z = -14

Subtract the resulting equations

12y-7y = -64+14

5y = -50

y = -50/5

y = -10

Substitute y = -10 into equation 4 to get z:

3y - 2z = -16

3(-10)-2z = -16

-30-2z = -16

-2z = -16+30

-2z = 14

z = 14/-2

z = -7

Substitute y = -10, z = -7 into eqn 1 to get x:

x+y+z = -4

x-10-7 = -4

x-17 = -4

x = -4+17

x = 13

Hence (x, y, z) is (13, -10, -7)

Write an equation in the line in slope intercept form

Answers

Answer:

Y=2x-1

Step-by-step explanation:

In order to find the slope, its rise over run. So you would move from (0,-1) to the next point it intercepts, (1,1) and find it from there

As for the Y-Intercept, it would just be wherever the line connects with the Y axis, which happens to be (0,-1) or Negative 1.

point Q was rotated about the origin (0,0) by 180

Answers

Answer:B

Step-by-step explanation:

The coordinates of the image of the rotation of the point Q is:

Q' = (4, 2)

What is the image of the rotation?

We can see that the original coordinates of point Q are (-4, 0).

If we apply a rotation of 180° about the point (0, 0), it is equivalent to a reflection around the y-axis.

It only changes the sign of the x-component.

Then the image of the rotation is:

Q' = (4, 0)

If you want to learn more about rotations:

https://brainly.com/question/4289712

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5/6 subtract (1/8 divided by 3/4) in a fraction form

Answers

Answer: 5 [tex]\frac{4}{25}[/tex]

Step-by-step explanation:

First, you need to know the orders of opperation. You must solve in this order.

ORDERS OF OPPERATION:

1. Grouping Symbols: ( [ ] )

2. Exponents: [tex]3^{2}[/tex]

3. Multiplication/Division

4. Addition/Subtraction

Now that we know the orders of opperation, let's get started!

1. 3/4 ÷ 1/8 = 6

2. 5/6 - 6 = 5 16/100

3. Simplify.

4. 5 16/100 = 5 4/25

= 5 [tex]\frac{4}{25}[/tex]

Please forgive me if I am wrong. I sure hope this answer helped. :)

The solution of the given expression will be 2/3.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is 5/6 subtract (1/8 divided by 3/4). The expression can be solved mathematically as below,

E = 5/6 - [ 1/8 ÷ 3/4 ]

E = 5/6 - [ 4 / ( 8 x 3 ) ]

E = 5/6 - 1/6

E = 4/6

E = 2/3

To know more about an expression follow

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What are all the values of x for which (x−1)(x+2)<0?
(A) x<1
(B) x<−2
(C) −2≤x≤1
(D) −2 (E) x<0

Answers

Answer:

C -2<=x<=1

Step-by-step explanation:

x-1<0 ===> x<1

x+2<0 ===> x<-2

Sven buying 3 1/3 pounds of wood. The wood costs 1.60 per pound. How much did Sven pay?

Answers

Answer:

$5.33

Step-by-step explanation:

If there are 3 1/3 lbs of wood and it's $1.60 per lb, then:

Turn the mixed number into an improper fraction first:

3 1/3 = 3/3 + 3/3 + 3/3 + 1/3

        = 10/3

Then, turn 1.60 into an improper fraction too:

1.6 = 1 6/10

     = 1 3/5

     = 5/5 + 3/5

     = 8/5

Then—letting x represent the number of lbs:

8/5x = 8/5 × 10/3

        = (8 × 10)/(5 × 3)

        = 80/15

        = 16/3

To put this in dollar/decimal form, simplify:

16 ÷ 3 = 5.3333333 . . .

          ≈ $5.33

The foreman in the welding department wanted to know what value of allowance to use for a particular section of the shop. A work sampling study was authorized. Only two activity categories were considered: (1) welding and other productive work, (2) personal time, rest breaks, and delays. Over a four week period (40 hours/week), 125 observations were made at random times. Each observation captured the category of activity of each of eight welders in the shop section of interest. Results indicated that category 2 constituted 33% of the total observations. (a) Define the limits of a 96% confidence interval (SD

Answers

Answer:

The answer is "0.3605".

Step-by-step explanation:

Through 8 welds, every welder have 125 measurements, that overall amount of measurements.  

N= 125(8) = 1000  

The 96 percent level of trust

[tex]Z_{\frac{\alpha}{2}} =2.05\\\\\hat{\sigma}_{p} = \sqrt{\frac{0.33 (0.67)}{1000}}\\\\[/tex]

    [tex]=\sqrt{ \frac{0.2211}{1000}}\\\\=\sqrt{0.0002211}\\\\=0.01487[/tex]

[tex]\hat{P_2} - Z_{\frac{\alpha}{2}} \hat{\sigma}_{p} = 0.33 -2.05 (0.01487)\\\\[/tex]

                  [tex]= 0.33-0.0305\\\\=0.2995[/tex]

[tex]\hat{P_2} + Z_{\frac{\alpha}{2}} \hat{\sigma}_{p} = 0.33 +2.05 (0.01487)[/tex]

                  [tex]= 0.33+0.0305\\\\=0.3605[/tex]

34 full. He uses 16 of a full tank’s gas per day driving to and from work.

How many days can Drew drive to work with the gas he has in the tank?

Answers

He can go one day with the gas he has

Help it’s for algebra 1

Answers

f(2) = -5(2) + 7
f(2) = -10 + 7
f(2) = -3

I want to decorate my room with leaves and turkeys for Thanksgiving. The number of leaves is twenty more than twice the number of turkeys. The number of leaves is ten less than 4 times the number of turkeys. How many of each type of decoration should I use?

Answers

Answer:

50 leaves, 15 turkeys

Step-by-step explanation:

set up an equation

l = leaves

t = turkeys

l = 2t+20

l = 4t-10

2t+20=4t-10

30=2t

15=t (so that means that there would be 15 turkey decorations, but we're not            done yet)

substitute (either equation):

l = 2(15)+20

l = 30+20

l = 50 (so this means there would be 50 leaves)

hope this helps!

find the slope of the graphed line​

Answers

Answer:

C

Step-by-step explanation:

It is a negative slope because the y value decreases as the x value increases. It goes down 2 for every three that it goes across, so we can find, using rise over run, that the slope is -2/3

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