1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
DedPeter [7]
3 years ago
10

1.3.12

Mathematics
1 answer:
kondaur [170]3 years ago
3 0

Answer:

<h3><em>(12, -6)</em></h3>

Step-by-step explanation:

The formula for calculating the midpoint of two coordinates is expressed as shown;

M(X, Y) = [(x1+x2)/2,  (y1+y2)/2]

Given the midpoint of ST to be ((6, -2) and one endpoint T is (0,2), according to expression above;

X = (x1+x2)/2

Y = (y1+y2)/2

From the coordinates, X = 6, Y = -2, x1 = 0 and y1 = 2, to get x2 and y2;

X = (x1+x2)/2

6 =  (0+x2)/2

cross multiply

12 = 0+x2

x2 = 12-0

x2 = 12

For 2;

Y = (y1+y2)/2

-2 =  (2+y2)/2

cross multiply

-4 = 2+y2

y2 = -4-2

y2 = -6

<em>Hence the other endpoint S(x2, y2) is (12, -6)</em>

<em></em>

You might be interested in
The slope of a vertical line is<br> The slope of a horizontal line is
kvasek [131]
The slope of a horizontal line =0 not undefined the slope of a vertical line= undefined
3 0
3 years ago
This monitor has a diagonal length of 19 inches and an aspect ratio of 5:4. What are the width and height of the monitor? Round
nasty-shy [4]

<em>Rounded to the nearest tenth of an inch the Witdth of the monitor is 14.8 inches while the Height of the monitor is 11.9 inches.</em>

<h2>Explanation:</h2><h2 />

The aspect ratio is defined as:

<em>"The proportional relationship between the width and height of an image"</em>

It is usually expressed in a mathematical language as:

x:y \\ \\ x: \ Width \\ \\ y: \ Height

So, it is true that:

x:y=5:4 \\ \\ or: \\ \\ \frac{x}{y}=\frac{5}{4} \\ \\ \therefore x=\frac{5y}{4}

In this case, we know that the monitor has a diagonal length (D):

D=19in

So, by Pythagorean theorem:

D^2=361 \\ \\ 361=x^2+y^2 \\ \\ Since \ x=\frac{5y}{4}

D^2=361 \\ \\ 361=x^2+y^2 \\ \\ Since \ x=\frac{5y}{4} \\ \\ 361=\left(\frac{5y}{4}\right)^2+y^2 \\ \\ 361=\frac{25y^2}{16}+y^2 \\ \\ \frac{41}{16}y^2=361 \\ \\ y^2=\frac{261\times 16}{41} \\ \\ y=\sqrt{140.87} \\ \\ y=11.869in

Finding x:

x=\frac{5(11.869)}{4} \\ \\ x=14.836in

<em>Finally, rounded to the nearest tenth of an inch the Witdth of the monitor is 14.8 inches while the Height of the monitor is 11.9 inches.</em>

<h2>Learn more:</h2>

Pythagorean Theorem: brainly.com/question/10182890

#LearnWithBrainly

5 0
3 years ago
I need help with this please. Thanks!
den301095 [7]

Answer:

-1

Step-by-step explanation:

2.5 - 3.5x = 8 - 4x - 6

0.5x = 2 - 2.5

0.5x = -0.5

x = -1

3 0
3 years ago
What is 5 1/4 - 3 3/4 = ?
Bad White [126]
5 1/4 - 3 3/4 = 4 5/4 - 3 3/4 = 1 2/4
4 0
3 years ago
Read 2 more answers
Mr. Saenz earned $240 for working 3 eight hour shifts at the lumber yard. What's his hourly wage?
kirza4 [7]
3 shifts*8 hours each= 24 hours worked

$240/24 hours= $10 per hr

Final answer: $10 per hr
7 0
3 years ago
Other questions:
  • Simplify (x^1/2)^1/6<br><br> a. x^1/3<br> b. x^1/4<br> c. x^1/12<br> d. x^2/3
    11·1 answer
  • Write an equation of the line passing through each of the following pairs of points.
    11·2 answers
  • 81 ÷ (__÷ 4) =9 evaluate the numeric expression
    15·1 answer
  • For an experiment, Marie brought a container filled with 30 grams of snow into a warm environment. After 5 minutes, 21% of the s
    14·2 answers
  • Which of the following statements about a variable are true?
    7·2 answers
  • Two candidates run for class president. After all the ballots are counted, one candidate has 50% of the votes. What decimal name
    6·2 answers
  • Does anyone know this and can help me on a few problems please
    9·1 answer
  • PLEASE HELP ME ON THIS QUESTION ASAP!! GIVING 15 POINTS AWAY!!
    9·1 answer
  • 5 1/2+4 3/4? <br> Please show work
    9·1 answer
  • (7x4 – 18x3 + 10x2<br> 18x3 + 10x² – 11x + 10) = (x - 2)
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!