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natulia [17]
3 years ago
5

if (3,5) is the midpoint of the line segment ST and the coordinates of S are (2,7) find coordinates of T

Mathematics
1 answer:
Readme [11.4K]3 years ago
4 0
<h3>Answer: Point T is at the location  (4, 3)</h3>

================================================

Work Shown:

Let T be the point (x,y)

Point S is defined to be at (2,7)

The x coordinates of S and T are 2 and x in that order. Add them up and divide by 2 to get (2+x)/2. Set this equal to 3 as this is the x coordinate of the midpoint. We have this equation

(2+x)/2 = 3

Now solve for x

(2+x)/2 = 3

2+x = 2*3 .... multiply both sides by 2

2+x = 6

x = 6-2 .... subtract 2 from both sides

x = 4

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

We'll follow similar logic and steps for the y coordinate of point T

S = (2,7)

T = (x,y)

The y coordinates for S and T are 7 and y in that order.

Add them up, divide by 2, then set the result equal to 5 (which is the y coordinate of the midpoint). Then solve for y.

(7+y)/2 = 5

7+y = 2*5 ..... multiply both sides by 2

y+7 = 10

y = 10-7 ..... subtract 7 from both sides

y = 3

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

Point T gets updated from (x,y) to (4, 3)

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A digital camera costs $185 and the sales tax rate is 5.7%. What is the total cost of the camera after tax
Dovator [93]
♥ To solve find how much this will cost AFTER the price increases.
♥ Solve:
Multiply the original price as it is by: <span>1.057 (5.7 as a decimal would be 0.057, but as i said to keep the original price, the 1 will keep it there.) 
</span>185 * 1.057 = $195.545
Final answer: <span>$195.54</span>
7 0
3 years ago
What is the greater faction than 11/20
Mila [183]

Answer:

Are you looking to calculate whether 2/10 is greater than 11/20? One of the most common calculations you'll make in math is to compare fractions. In this really simple guide, we'll teach you how to compare and determine if 2/10 is bigger than 11/20 and walk you through the step-by-process of how the calculation is made.

As we always do in these tutorials, let's recap and remind ourselves that the number above the fraction line is called the numerator and the number below the fraction line is called the denominator.

Depending on the math problem you want to solve, there are two methods to calculate if 2/10 is larger than 11/20:

Convert the fractions to have the same denominator

Convert the fractions to a decimal number

Let's start with the first method: converting the fractions to the same denominator. First, we'll set up 2/10 and 11/20 side by side so they are easier to see:

Converting Denominator

2

10

&

11

20

Our denominators are 10 and 20. What we need to do is find the lowest common denominator of the two numbers. This is the smallest number that can be divided by both 10 and 20. In this case, the lowest common denominator is 20.

If we multiply the first denominator (10) by 2 we will get 20. If we multiply the second denominator (20) by 1 we will also get 20. We also need to multiply the numerators above the line by the same amounts so that the fraction values are correct:

2 x 2

10 x 2

11 x 1

20 x 1

This is what 2/10 and 11/20 looks like with the same denominator:

4

20

&

11

20

Now that these fractions have been converted to have the same denominator, we can clearly see by looking at the numerators that 4 is NOT greater than 11 which also means that 2/10 is NOT greater than 11/20.

Converting to Decimal

You can also compare these fractions by first converting them to decimal format. This is a lot faster than working out the lowest common denominator. All we do here is divide the numerator by the denominator for each fraction:

2/10 = 0.2

11/20 = 0.55

Now that these fractions have been converted to decimal format, we can compare the numbers to get our answer. 0.2 is NOT greater than 0.55 which also means that 2/10 is NOT greater than 11/20.

Hopefully this tutorial has helped you to understand how to compare fractions and you can use your new found skills to compare whether one fraction is greater than another or not!

© 1999-2021 VisualFractions.com. All Rights Reserved.

4 0
2 years ago
A) 289.6 divide by 6.4 <br><br> b) 236.592 divide by 0.36
Simora [160]

Answer:

a)45.25

b)657.2

3 0
3 years ago
Read 2 more answers
HELPPP <br> Solve the equation <br> log (2x-3)=2
MaRussiya [10]

Answer:

2.5 or 5/2

Step-by-step explanation:

2x-3=2

2x=5 (both sides plus 3)

x=5/2 or 2.5(divid by 2 on both sides)

8 0
3 years ago
find the distance between city A and city B if there 15 cm apart on the map with a scale of 2 cm: 16 km
IRISSAK [1]

Answer:

120 km

Step-by-step explanation:

15/2=7.5

7.5 km x 16= 120km

Have a great day!

7 0
3 years ago
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