The coordinates of point T are (0,5). The midpoint of ST is (4, -5). Find the coordinate of point S

Answers

Answer 1

Answer:

(8, -15)

Step-by-step explanation:

Midpoint formula: [tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2})[/tex]

where [tex](x_1,y_1)[/tex] is the first point (T) and [tex](x_2,y_2)[/tex] is the second point (S)

Step 1. plug in what we have so far into the midpoint formula

[tex](\frac{0+x_2}{2} ,\frac{5+y_2}{2} )[/tex]

but remember, the midpoint is (4, -5)

Step 2. solve for point (S)

The first coordinate of point (S) is the x-coordinate. And to solve for the x-coordinate, (since they're being divided by 2) multiply 2 by 4 (the x-coordinate of the midpoint)

[tex](\frac{0+8}{2},\frac{5+y_2}{2})[/tex]

... (hard to explain for the y-coordinate of point (S))

Point S = [tex](8,-15)[/tex]


Related Questions

hlo tell me the answer fast plz​

Answers

Answer:

hi you said u can answer my qweshion

Step-by-step explanation:

The sum of two numbers is 48 and the difference is 18. What are the numbers?

Answers

Answer
20+28=48-15=30


Mary, Misa and Mandy have a combined height of 4.84 m. Mary is 9 cm/0.009m
shorter than Misa. Misa is 0.05 m taller than Mandy. How tall, in metres, is
Mandy?

Answers

Answer:

Mandy is 1.613 m tall

Step-by-step explanation:

Let us consider

Mary is A, Misa is B and Mandy is C

According to question,

A + B + C = 4.84 m...... (i)

From qsn

9 cm/0.009 m

= 9 cm/ 0.9 cm

= 10 cm

= 0.1 m

Then, A is 0.1 m shorter than B

i.e. A= B - 0.1 m

Also, B is 0.05 m taller than C

i.e B = C + 0.05m

We have to find height of C ( Mandy)

From eqn (i)

C = 4.84 - B - A

or, C = 4.84 - (C + 0.05) - ( B - 0.1)

or, C = 4.84 - C - 0.05 - B + 0.1

or, 2C = 4.89 - B

or, 2C = 4.89 - ( C + 0.05)

or, 2C = 4.89 - C - 0.05

or, 3C = 4.84

or, C = 4.84/3

or, C = 1.613 m

Hello!

Let’s start by assigning variables to each of the girls’ heights.

Mary=x

Misa=y

Mandy=z

Now, we know that Misa is 0.05 m taller than Mandy. Therefore we can say y (Misa’s height)= z (Mandy’s height) +0.05

Y=z+0.05


We also know that Mary is 0.009m shorter than Misa. Therefore, she must be 0.041 m taller than Mandy. We know this because Misa is 0.05 m taller than Mandy, and Mary is 0.009 meters shorter than Misa (0.05-0.009)= 0.041 Based on our determined variables, we can write this as:

X=z+0.041

OR REWRITTEN TO SOLVE FOR Z

Z=x-0.041

Finally, we know that the heights of all three girls are equal to 4.84 meters:

X+y+z=4.84


Let’s solve! Plug the second equation, solved for z, into the first equation.

Y= (x-0.041) +0.05

Now, let’s plug that in for “y” and the second equation in for “z” in the final equation:

X+ ((x-0.041) +0.05)+ (x-0.041)= 4.84

Solve for X:

1.624

Plug that number in for “X” in the second equation to get Mandy’s height (z)

Z=x-0.041

Z= 1.624-0.041


Mandy’s height is 1.583 m

I know this is a little confusing, but I hope this helped! If you have any questions, feel free to comment and I can help clarify!

Find the distance between each pair of points (-4,6) and (3,-7)

Answers

Answer:

Here is your answer . Hope this helps you.

Answer:

[tex]\boxed {\boxed {\sf \sqrt{218} \ or \ 14.76}}[/tex]

Step-by-step explanation:

The formula for calculating the distance between 2 points is:

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

In this formula, (x₁, y₁) and (x₂, y₂) are the 2 points. The 2 points we are given are (-4, 6) and (3, -7). If we match the value with the corresponding variable we see that:

x₁ = -4 y₁ = 6 x₂ = 3 y₂ = -7

Substitute the values into the formula.

[tex]d= \sqrt{(3 - -4)^2 + (-7-6)^2[/tex]

Solve inside the parentheses.

(3--4) = (3+4) = 7 (-7-6) = -13

[tex]d=\sqrt {(7)^2 + (-13)^2[/tex]

Solve the exponents.

(7)²= 7*7 = 49 (-13)² = -13 * -13 = 169

[tex]d= \sqrt{ (49)+(169)[/tex]

Add.

[tex]d= \sqrt{218}[/tex]

[tex]d=14.76482306[/tex]

If we round to the nearest hundredth place, the 4 in the thousandth place tells us to leave the 6.

[tex]d \approx 14.76[/tex]

The distance between the points (-4, 6) and (3, -7) is √218 or approximately 14.76.

Uma indústria produz mensalmente x lotes de um produto. O valor mensal resultante da venda deste produto é V(x) = 3x² + 400x e o custo mensal da produção é dado por C(x) = 5x² − 100x − 540. Sabendo que o lucro é obtido pela diferença entre o valor resultante das vendas e o custo da produção, calcule:

A) O número de lotes de produtos para maximizar o lucro?

B) Qual o lucro Mensal a indústria pode alcançar?

Answers

Answer:

The answer would be A

Step-by-step explanation:

Hi I have some trouble understanding Mean,Median and Mode Comparisions can someone please help me with this problem

Answers

Answer A is B i think

What is the cube root of 27?

Answers

The cube root of 27 is 3!!

algebra 2 help please????

Answers

Answer:

Sqrt(-108)=6i*sqrt(3)

Step-by-step explanation:

-108=3*6*6*(-1). Sqrt(-108)=6i*sqrt(3) where i is iota

factor of -2800 and -2

Answers

Answer:

isn't it just -2 it's the greatest common factor (GCF) of -2800 and -2

Step-by-step explanation:

please help with geometry

Answers

Step-by-step explanation:

a) gradient= y2-y1/x2-x1

gradient of AB:

gradient=-4-1/2-3

=-5/-1

=5

gradient of BC:

=-5+4/7-2

=-1/5

b) as the priduct of both gradient is -1 ,both lines are perpendicular.

c) as we have seen lines are perpendicular so it is a right angled triangle.


Write your answer as an integer or as a decimal rounded to the nearest tenth

Answers

Answer:

965.31sq.km

Step-by-step explanation:

Area of the triangle = 1/2 xy sina

a=52° , x=49 , y=50

area of triangle= 1/2 * 49 *50 *sin52°

area= 965.31 sq.km

Kathy has a total of 74 songs on cassettes and CDs in her music library. Each of her cassettes has 6 songs on it, and each
CD has 10 songs. If she has a total of 9 cassettes and CDs, how many of each does she have?

Answers

Answer:

4 cassettes and 5 CDs

Step-by-step explanation:

Create a system of equations

c is cassettes and d is CDs

6c+10d=74

c+d=9

I will use substitution

c=9-d

6(9-d)+10d=74

54-6d+10d=74

4d=20

d=5

Plug 5 back into the equation

c+5=9

c=4

ILL GIVE YOU 40 POUNTA IF YOU ANSWER ALL OF THESE QUESTIONS???,!!.!.
PLEASE I NEED THESE TODAY!!!!

Answers

what's the question? we solving or simplify?

Answer and Step-by-step explanation:

When multiplying exponents:

- Product of Powers: When the base of the exponents are the same, and the bases are being multiplied to each other, the exponents are added together.

- Different bases Same Exponents: When the bases of the exponents are different, but the exponents are the same, the bases multiply together (within a parenthesis) with the exponent on the parenthesis.

- Quotient of Powers: When the base of the exponents are the same, and they are being divided by each other, the exponents will subtract from each other.

- Power of a Power: When a base has an exponent, and that entire term has and exponent, the exponents multiply together.

- Power of a Product: The opposite of Different bases Same Exponents. Distribute the exponent onto the different bases.

- Power of a Quotient: The opposite of Quotient of Powers. Distribute the exponent to the dividing bases.

- Zero Power: Any number raised to the 0 power equals 1.

- Negative Exponent: Any number raised by a negative number goes to the denominator of a fraction (if not already in the denominator), and vise versa (goes to the numerator if not already in the numerator).  

- Power of One: Any number raised to the power of 1 is the same number.

 

7.

[tex](-5y^3)^3 = -125y^6[/tex]

8.

[tex](-a^9b)^4 = -a^{13}b^4[/tex]

9.

[tex](\frac{1}{2}x^4 )^7 = \frac{1}{2^7 (=128)} x^{11}[/tex]

10.

[tex]2(3a^2)^3 = 2(27a^5) = 54a^5[/tex]

11.

[tex]\frac{1}{2} (4k^5)^2=\frac{1}{2} (16k^7) = 8k^7[/tex]

12.

[tex]-6(\frac{2}{3}p^8 )^3=-6(\frac{6}{27} p^{11}) = -6(\frac{2}{9}p^{11})=\frac{-12}{9} p^{11}=-\frac{4}{3}p^{11}[/tex]

13.

[tex](m^5n^3)^7 * m^2n = m^{12}n^{10}*m^2n=m^{14}n^{11}[/tex]

14.

[tex](2xy)^2(-3x^2)(4y^2) = (4x^2y^2)(-3x^2)(4y^2) = (-12x^4y^2)(4y^2)=-48x^6y^4[/tex]

15.

[tex](2x^3y^2z^2)^3(x^2z)^4=(8x^6y^5z^5)(x^6z^4)=8x^{12}y^5z^9[/tex]

16.

[tex](-xy)^2(2x^9y^5)^4 = (x^2y^2)(16x^{13}y^9)=16x^{15}y^{11}[/tex]

17.

[tex](-4mn)^3(-2m^2)^3 = (-64m^3n^3)(-8m^5)=512m^8n^3[/tex]

18.

[tex]-3(2x^4)(4x^5y)^2 = (-6x^4)(16x^7y^2)=-96x^{11}y^2[/tex]

19.

[tex](-18m^2n)^2(-\frac{1}{6} mn^2)=(324m^4n^2)(-\frac{1}{6} mn^2)=-54m^5n^4[/tex]

20.

[tex](3r^3s^5)^2-r^6s^{10} = 9r^5s^7-r^6s^{10} = r^5s^7(9-rs^3)[/tex]

21.

[tex](-2x^5y^7)^3+7x^{15}y^{21} = -8x^8y^{10}+7x^{15}y^{21} = x^8y^{10}(7x^7y^{11}-8)[/tex]

#teamtrees #PAW (Plant And Water)

I hope this helps!

Help me pleaseee!!
Would appreciate ^^
**BRAINLIST, thanks and points***

Answers

Answer:

22:25   26:Yes 4900  27: 6 and 18  28: 44,100 and 48,024,900

Step-by-step explanation:

for 22-25 see answer #2. They gave a better answer in total.

Answer:

22.  30

prime factorization of 30

2 × 3 × 5

so there is no simplification needed here

23. 126

2 × 3 × 3 × 7

simplification

2 ×  × 7

24.  4900

2 ×2 × 5 × 5 × 7 ×7

simplification

 

25.  39204

2 × 2 × 3 × 3 × 3 × 3 × 11 × 11

simplification

26 .  

Yes 4900 is a square number it's square root is 70

you can even cross-check

70 × 70

= 4900

and even 39204 is a square number it's square root is 198

you can even cross-check

198 × 198

= 39204

Hence 2 numbers 4900 and 39204 are square numbers

27 .

i. highest common factor of 30 and 126

factors of 30 are 2 × 3 × 5  

factors of 126 are 2 × 3 × 3 × 7

now find common between them

common factors are 2 and 3

so multiply 2 and 3

2 × 3

= 6

6 is the highest common factor

ii. 126 and 39204

factors of 126 are 2 × 3 × 3 × 7

factors of 39204 are 2 × 2 × 3 × 3 × 3 × 3 × 11 × 11

now find common between them

common factors are 2 × 3 × 3

= 18

18 is the highest common factor

28 .

1 .  126 and 4900

factors of 126 are 2 × 3 × 3 × 7

factors of 4900 are 2 ×2 × 5 × 5 × 7 ×7

make the pairs of the numbers

2 ×2 × 5 × 5 × 3 × 3 × 7 ×7

= 44100   least common multiple

ii. 4900 and 39204

factors of 39204 are 2 × 2 × 3 × 3 × 3 × 3 × 11 × 11

factors of 4900 are 2 ×2 × 5 × 5 × 7 ×7

make the pairs of the numbers  

2 ×2 × 3 x 3 x 3 x 3 x 5 x 5 x 7 x 7 x 11 x 11

= 48024900 least common multiple

The lines shown below are perpendicular

Answers

Answer:

Step-by-step explanation:

y=(-1/3)x + 3

6. Write an equation for the line that passes through (-4,4) and (8,8) in point-slope
form, slope-intercept form and standard form.
Point-Slope Form:
Slope-Intercept Form:
Standard Form:

Help!!

Answers

Answer:

Point-slope form:

[tex]y-4=\displaystyle\frac{1}{3}(x+4)[/tex]

[tex]y-8=m(x-8)[/tex]

Slope-intercept form:

[tex]y=\displaystyle\frac{1}{3}x+\displaystyle\frac{16}{3}[/tex]

Standard form:

[tex]-x+3y=16[/tex]

Step-by-step explanation:

Hi there!

1) Point-slope form

Point-slope form: [tex]y-y_1=m(x-x_1)[/tex] where [tex](x_1,y_1)[/tex] is a point on the line and m is the slope

First, determine the slope:

[tex]m=\displaystyle\frac{y_2-y_1}{x_2-x_1}[/tex] where two points on the line are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the points (-4,4) and (8,8):

[tex]m=\displaystyle\frac{8-4}{8-(-4)}\\\\m=\displaystyle\frac{8-4}{8+4}\\\\m=\displaystyle\frac{4}{12}\\\\m=\displaystyle\frac{1}{3}[/tex]

Therefore, the slope of the line is [tex]\displaystyle\frac{1}{3}[/tex]. Plug this into  [tex]y-y_1=m(x-x_1)[/tex]:

[tex]y-y_1=\displaystyle\frac{1}{3}(x-x_1)[/tex]

Now, for [tex](x_1,y_1)[/tex], we can either plug in (-4,4) or (8,8):

[tex]y-4=\displaystyle\frac{1}{3}(x-(-4))\\\\y-4=\displaystyle\frac{1}{3}(x+4)[/tex]

or

[tex]y-8=m(x-8)[/tex]

2) Slope-intercept form

Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

[tex]y=mx+b[/tex]

Plug in the slope

[tex]y=\displaystyle\frac{1}{3}x+b[/tex]

Now, to determine the y-intercept, plug in one of the points (-4,4) or (8,8) and solve for b:

[tex]8=\displaystyle\frac{1}{3}(8)+b\\\\8=\displaystyle\frac{8}{3}+b\\\\8-\displaystyle\frac{8}{3}=b\\\\b=\frac{16}{3}[/tex]

Therefore, the y-intercept is [tex]\displaystyle\frac{16}{3}[/tex]. Plug this back into [tex]y=\displaystyle\frac{1}{3}x+b[/tex]:

[tex]y=\displaystyle\frac{1}{3}x+\displaystyle\frac{16}{3}[/tex]

3) Standard form

Standard form:

[tex]Ax+By=C[/tex] where A, B, and C are numbers which are typically integers

[tex]y=\displaystyle\frac{1}{3}x+\displaystyle\frac{16}{3}[/tex]

Organize this into standard form:

[tex]-\displaystyle\frac{1}{3}x+y=\displaystyle\frac{16}{3}[/tex]

Multiply both sides by 3 so A, B, and C are integers:

[tex]-x+3y=16[/tex]

I hope this helps!

pls find X in the following image :)

Answers

Answer:

37 degees

Step-by-step explanation:

..........m.........

Answer:

x=37

Step-by-step explanation:

here,

143+x=180

x=180-143

x=37

How is the x value affected if there is a translation to the right?
(answer options below)
-you subtract from the x
-you add to the x
-you divide
-you multiply

Answers

Answer:

you subtract from the  x

Step-by-step explanation:

3.3(n-8)-n=1.2

Simplify! ::)

Answers

Answer:

n=12

Step-by-step explanation:

3.3(n-8)-n=1.2

Distribute

3.3n -26.4 -n = 1.2

Combine like terms

2.3n -26.4 = 1.2

Add 26.4 to each side

2.3n -26.4+26.4 = 1.2 +26.4

2.3n = 27.6

Divide each side by 2.3

2.3n/2.3 = 27.6/2.3

n=12

the solution to the equation is n = 12. Let's simplify the given equation step by step: [tex]\(3.3(n - 8) - n = 1.2\)[/tex]

Step 1: Distribute the 3.3 to the terms inside the parentheses:

[tex]\(3.3n - 3.3 \times 8 - n = 1.2\)[/tex]

Step 2: Perform the multiplication:

[tex]\(3.3n - 26.4 - n = 1.2\)[/tex]

Step 3: Combine like terms:

[tex]\(3.3n - n = 1.2 + 26.4\)\\\(2.3n = 27.6\)[/tex]

Step 4: Isolate n by dividing both sides by 2.3:

[tex]\(n = \frac{27.6}{2.3}\)\\\(n = 12\)[/tex]

So, the solution to the equation is n = 12.

To know more about equation:

https://brainly.com/question/8651602

#SPJ3

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

Answers

Answer:

S=(2,-2) ...............

How tall are redwood trees? ( statistical not statistical​

Answers

Answer:

It's a statistical question.

and there between 250-300 feet.

suppose a 13 foot ladder is leaning against a building. Reaching to the bottom of a second floor window 12 ft above the ground. How far is the base of the ladder from the building? Round your answer to the nearest 10th

5 ft
4ft
3ft
6ft​

Answers

Answer: First Choice. 5ft

Step-by-step explanation:

Here we need to know the idea of the Pythagorean theorem.

Since a building is straight, the base angle is a right angle, thus it would be a right triangle.

Pythagorean Theorem: a² + b² = c²

**NOTE** Please refer to the attachment below for the figure. (I drew it, so if it was not clear and understandable for you, please tell me.)

Solve:

Given information

a = 12 ft

c = 13 ft

b = unknow base length

Given formula for Pythagorean Theorem

a² + b² = c²

Substitute values into the formula

12² + b² = 13²

Simplify exponents

144 + b² = 169

Subtract 144 on both sides

144 + b² - 144= 169 - 144

b² = 25

Square root both sides

√b² = √25

[tex]\boxed{b=5}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Serena worked these hours last week: Monday 8, Tuesday 8, Wednesday 10, Thursday 5, Friday 8. She is paid
$12 per hour
how many hours did serena work last week ?

Answers

39 hours which totals to 468 dollars

WEIGHTS AND MEASURES
One pint is about 5/9 liter. Write 5/9 liter as a decimal.

Answers

Answer:

.55555555 infinitely or .556

Step-by-step explanation:

5/9 liter is .555 as a decimal

Solve each for X. Show your work


3(2x - 1) + 2(x + 5) = 47




Answers

3(2x - 1) + 2(x + 5) = 47

6x - 3 + 2x + 10 = 47

6x + 2x = 47 + 3 - 10

8x = 40 / : 8

x = 5 ← the end

Answer:

x = 5

Step-by-step explanation:

[tex]3(2x - 1) + 2(x + 5) = 47[/tex]

[tex]6x - 3 + 2(x + 5) = 47[/tex]

[tex]6x - 3 + 2x + 10 = 47[/tex]

[tex]8x - 3 + 10 = 47[/tex]

[tex]8x + 7 = 47[/tex]

[tex]8x = 47 - 7[/tex]

[tex]8x = 40[/tex]

[tex](8x \div 8 = 40 \div 8 = x = 40 \div 8 )[/tex]

[tex]x = 5[/tex]

QUICK PLEASE!!!
Consider f(x) Equals StartFraction 8 (x minus 1) Over x squared + 2 x minus 3 EndFraction.

Which statements describe the existence of vertical asymptotes at x = –3 and x = 1?

Answers

Answer:

A

Step-by-step explanation:

edge 2021

Answer:

It is A

Step-by-step explanation:

I got it right on the test Edge 2022.

help me with this ixl pleaseeeeeeeeee

Answers

Step-by-step explanation:

J(-3,9)

k(-10,9)

L(-10,4)

M(-3,4)

What is 15 percent of 1135? Explain how you came up with your solution and the actions you took.

Answers

Answer:

170.25

Step-by-step explanation:

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 15 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 15, so we can write it down as 100%=15.

4. We know, that x% equals 1135 of the output value, so we can write it down as x%=1135.

5. Now we have two simple equations:

1) 100%=15

2) x%=1135

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=15/1135

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1135 is what percent of 15

100%/x%=15/1135

(100/x)*x=(15/1135)*x       - we multiply both sides of the equation by x

100=0.013215859030837*x       - we divide both sides of the equation by (0.013215859030837) to get x

100/0.013215859030837=x

7566.6666666667=x

x=7566.6666666667

now we have:  170.25

We have to find,

→ 15% of 1135

The value of the percentage is,

→ 15 ÷ 100

→ 0.15

Let's find the solution,

→ 1135 × 0.15

→ 170.25

Hence, the answer is 170.25.

YOU WILL GET 50 OR 100 POINTS TO THE FIRST PERSON TO ANWSER!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Antonio circled 72, 78, 84, and 90 on a hundreds chart. If Antonio continues his pattern, what two numbers will be next in the pattern?

Answers

Answer:

96, 102

Step-by-step explanation:

We can observe the numbers 72, 78, 84, 90 form an arithmetic sequence with common difference of 6.

It can be continued by adding 6 to the last number:

90 + 6 = 9696 + 6 = 102

72,78,84,90..are in AP

a=72d=6

[tex]\\ \rm\longmapsto a_5=72+4(6)=72+24=96[/tex]

[tex]\\ \rm\longmapsto a_6=72+5(6)=72+30=102[/tex]

the fast train from london to coventry travels at an average speed of 83 km per hour . how long would it take to travel the distance of the distance of 166 km

Answers

2.

Simply do 166 divided by 83 and you'll have your answer

2 hours

1 hour = 83km travelled
1 x 2 = 2 83 x 2 = 166
2 hours = 166km travelled
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