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3 years ago

Please can anyone help???

Mathematics

1 answer:

marta [7]3 years ago

8 0

Answer:

x = -3, y = 0

Step-by-step explanation:

15 - 9 = 6

6 - 9 = -3

0 + 5 = 5

5 +5 = 10

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You roll a number cube once.<br> what is the theoretical probability that you roll a 3 or 4?

yanalaym [24]

Answer:

2/6 or 1/3

Each number has 1 /6 probability. But since you can accept either 3 or 4, the probability is better and is 2/6 or simplified to 1/3.

4 0

3 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 $m_{FG}=\frac{c-0}{a+b-0}$

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

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3 years ago

Colby wants to set square tiles on the top of a wooden box. The top of the box is a rectangle 7 1/2 inches long and 5 1/2 inches

Sever21 [200]

You will need 82 1/4 1/2 tiles and 165 1/4 tiles

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3 years ago

Find two numbers whose sum is 55 and whose product is 646

Svet_ta [14]

Answer:

17 and 38

Step-by-step explanation:

x + y = 55......x = 55 - y

x * y = 646

y(55 - y) = 646

55y - y^2 = 646

y^2 - 55y + 646 = 0

(y - 17)(y - 38) = 0

y - 17 = 0 y - 38 = 0

y = 17 y = 38

ur numbers are 17 and 38

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Answer:

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Step-by-step explanation:

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2 years ago

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