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3 years ago

Find the midpoint of the line segment that has endpoints at (10,8) (-3,-10)

Mathematics

1 answer:

dem82 [27]3 years ago

7 0

Hey there! :)

Answer:

(3.5, -1).

Step-by-step explanation:

Use the midpoint formula to solve this problem:

$(x_m, y_m) = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})$

Plug in the coordinates given:

$(\frac{10-3}{2}, \frac{8-10}{2})$

Simplify:

$(\frac{7}{2}, \frac{-2}{2})$

Therefore, the coordinates of the mid-point are:

(3.5, -1).

You might be interested in

line passes through the point (-3,-4) and its y-intercept is (o, -9). What is the equation of the line that is parallel to the f

12345 [234]

Answer:

$y=-\frac{5}{3}x-2$

Step-by-step explanation:

The first line has a slope of -5/3 found using the points in the slope formula.

$m=\frac{y_2-y_1}{x_2-x_1} =\frac{-9--4}{0--3}=\frac{-9+4}{0+3}=\frac{-5}{3}$

Parallel lines have the same slope. So -5/3 is the slope of the second line. Write its equation using the point slope form $y-y_1=m(x-x_1)$ .

$y--7=-\frac{5}{3}(x-3)\\y+7 = -\frac{5}{3}(x-3)\\y=-\frac{5}{3}x + 5 -7\\y=-\frac{5}{3}x-2$

7 0

3 years ago

Angad, Caroline and Sarah share some sweets in the ratio 7:4:3. Angad gets 52 more sweets than Sarah. How many sweets does Carol

padilas [110]

A = 7x, c = 4x, s = 3x

a = s+52
7x = 3x+52
4x = 52
x = 13

c = 4x = 52
Caroline gets 52.

7 0

3 years ago

Which is a better deal 12.4 ounces for $4.99 or 21 ounces for $6.49?

ella [17]

Answer:

<em>Getting 21 ounces for $6.49 is a better deal!</em>

Step-by-step explanation:

4.99 / 12.4 = 0.402419...

6.49 / 21 = 0.30904...

0.4 is larger than 0.30 therefore 0.30 is less and a better deal.

Have an amazing day! ^-^

4 0

3 years ago

Please answer this question! 25 points and brainliest!

Darina [25.2K]

chur answer is gonna be 63787 km

4 0

3 years ago

Triangle RST has vertices located at R (2,3), S (4,4), and T (5,0).

Mazyrski [523]

The slope of RS, RT, and ST are 1/2, -1 and -4 respectively

<h3>Triangle and slopes</h3>

Given the folllowing coordinates R (2,3), S (4,4), and T (5,0) os triangle RST

The formula for calculating the distance is expressed as:

D = √(x2-x1)²+(y2-y1)²

For length RS:

D = √(4-3)²+(4-2)²

RS = √1+4
RS= √5

For length RS:

RT = √(0-3)²+(5-2)²

RT = √9+9
RT= 3√2

For length ST:

D = √(0-4)²+(5-4)²

ST = √16+1
ST= √17

Since all the sides are different, the triangle is a scalene triangle.

For the slope of the sides

For the side RS;

Slope = 4-3/4-2

Slope of RS = 1/2

For the side RT:

Slope = 0-3/5-2

Slope of RT = -3/3 = -1

For the side ST

Slope of ST = 0-4/5-4
Slope of ST = -4/1 = -4

Hence the slope of RS, RT, and ST are 1/2, -1 and -4 respectively

Learn more on slope and distance here: brainly.com/question/2010229

6 0

2 years ago