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3 years ago

Find the midpoint of the segment with the following endpoints. (10,6) and (6,10)

Mathematics

1 answer:

svlad2 [7]3 years ago

4 0

Answer:

(8,8)

Step-by-step explanation:

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Determine the midpoint between the points (-5, 3) and (5, 9).

PSYCHO15rus [73]

Answer:

M (0, 6)

Step-by-step explanation:

By midpoint formula,

M [(x1+x2)/2 , (y1+y2)/2]

M [-5+5/2 , 3+9/2]

M (0/2 , 12/2)

M (0, 6)

4 0

1 year ago

Fill in the square with <, >, or = to make a true statement = 12 or 4.3

Vinvika [58]

Answer:

12 > 4.3

Step-by-step explanation:

7 0

2 years ago

If a meatball recipe calls for 10 pounds of ground beef is 5 kilograms of ground beef enough to make the meatballs

rodikova [14]

Answer: Yes. 5 kilograms is a little more than enough.

Step-by-step explanation:

Use the conversion factor. 1 kilogram = 2.20462 pounds

We can round that to 2.2 for a question like this.

5 × 2.2 = 11 pounds

8 0

2 years ago

Prove that the segments joining the midpoint of consecutive sides of an isosceles trapezoid form a rhombus.

sergiy2304 [10]

Answer:

See explanation

Step-by-step explanation:

a) To prove that DEFG is a rhombus, it is sufficient to prove that:

All the sides of the rhombus are congruent: $|DG|\cong |GF| \cong |EF| \cong |DE|$
The diagonals are perpendicular

Using the distance formula; $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$|DG|=\sqrt{(0-(-a-b))^2+(0-c)^2}$

$\implies |DG|=\sqrt{a^2+b^2+c^2+2ab}$

$|GF|=\sqrt{((a+b)-0)^2+(c-0)^2}$

$\implies |GF|=\sqrt{a^2+b^2+c^2+2ab}$

$|EF|=\sqrt{((a+b)-0)^2+(c-2c)^2}$

$\implies |EF|=\sqrt{a^2+b^2+c^2+2ab}$

$|DE|=\sqrt{(0-(-a-b))^2+(2c-c)^2}$

$\implies |DE|=\sqrt{a^2+b^2+c^2+2ab}$

Using the slope formula; $m=\frac{y_2-y_1}{x_2-x_1}$

The slope of EG is $m_{EG}=\frac{2c-0}{0-0}$

$\implies m_{EG}=\frac{2c}{0}$

The slope of EG is undefined hence it is a vertical line.

The slope of DF is $m_{DF}=\frac{c-c}{a+b-(-a-b)}$

$\implies m_{DF}=\frac{0}{2a+2b)}=0$

The slope of DF is zero, hence it is a horizontal line.

A horizontal line meets a vertical line at 90 degrees.

Conclusion:

Since $|DG|\cong |GF| \cong |EF| \cong |DE|$ and $DF \perp FG$ , DEFG is a rhombus

b) Using the slope formula:

The slope of DE is $m_{DE}=\frac{2c-c}{0-(-a-b)}$

$m_{DE}=\frac{c}{a+b)}$

The slope of FG is $m_{FG}=\frac{c-0}{a+b-0}$

$\implies m_{FG}=\frac{c}{a+b}$

5 0

3 years ago

How do you multiply these polynomials? 3xy^2(2y+4z)

nikitadnepr [17]

Answer:

6xy^3 +12xy^2 z

Step-by-step explanation:

3xy^2 (2y+4z)

Multiply

3xy^2 * 2y + 3xy^2 *4z

common factors

3xy^3 +3xy^2 *4z

Multiply

6xy^3 +12xy^2 z

7 0

2 years ago