$AB=\sqrt{(4+7)^2+(5+10)^2}\\\\AB=\sqrt{121+225}\\\\AB=\sqrt{346}\\\\BC=\sqrt{(-7+4)^2+(-10+9)^2}\\\\BC=\sqrt{9+1}\\\\BC=\sqrt{10}\\\\CD=\sqrt{(4+7)^2+(5+10)^2}\\\\CD=\sqrt{121+225}\\\\CD=\sqrt{346}\\\\DA=\sqrt{(7-4)^2+(6-5)^2}\\\\DA=\sqrt{9+1}\\\\DA=\sqrt{10}$

Slope between two points is given by

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\m_{1}=\frac{-10-5}{-7-4}\\\\=\frac{-15}{-11}\\\\m_{1}=\frac{15}{11}\\\\m_{2}=\frac{-9+10}{-4+7}\\\\m_{2}=\frac{1}{3}\\\\m_{3}=\frac{6+9}{7+4}\\\\m_{3}=\frac{15}{11}\\\\m_{4}=\frac{6-5}{7-4}\\\\m_{4}=\frac{1}{3}$

As slope of opposite sides are equal and length of Opposite sides are equal.So,the given Quadrilateral is a Parallelogram.

Option A

Yes; The opposite sides are congruent and have the same slope.

6 0

3 years ago

Graph: 2x - y is greater than or equal to 24. Explain how you graphed it including slope, y intercept, dotted or solid, and how

Anton [14]

Answer:

Hello!

Slope intercept form is y = mx + b

m is the slope

b is the y-intercept

To turn the equation into the base form we have to get y by itself

-6y = -2x + 24

Divide both sides by -6

Simplify

To get the y-intercept we put 0 in for the x point and b for the y point

The y-intercept is (0, -4)

The slope is 1/3 which means every time x goes up by 3 the y goes up by 1

Other points are (3, -3) (6, -2) and (9, -1)

With 3 or more points we can plot a graph

Hope this Helps!

Step-by-step explanation:

4 0

3 years ago

A concession stand sells 50 drinks, of which 17 are orange juice. What is the probability that the next drink sold will be orang

love history [14]

Total Drinks = 50
Orange Juice = 17

P( Orange Juice ) = 17 /50 = 0.34 = 34%

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Answer: P( Orange Juice ) = 17 /50 (fraction) = 0.34 (Decimal ) = 34% (Percentage)
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3 0

4 years ago

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