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3 years ago

What is the slope of the line that passes through: (6,5) and (-1,-4) Thank You!

Mathematics

1 answer:

My name is Ann [436]3 years ago

6 0

Answer:

$m=\frac{9}{7}$

Step-by-step explanation:

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Simply plug in the 2 coordinates into the slope formula to find slope m:

$m=\frac{-4-5}{-1-6}$

$m=\frac{-9}{-7}$

$m=\frac{9}{7}$

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2 years ago

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2 years ago

Given the set of vertices, determine whether parallelogram ABCD is a rhombus, rectangle or square. List all that apply. A(7,-4),

Sloan [31]

Given:

Vertices of a parallelogram ABCD are A(7,-4), B(-1,-4), C(-1,-12), D(7, -12).

To find:

Whether the parallelogram ABCD is a rhombus, rectangle or square.

Solution:

Distance formula:

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Using distance formula, we get

$AB=\sqrt{(-4-(-4))^2+(-1-7)^2}$

$AB=\sqrt{(-4+4)^2+(-8)^2}$

$AB=\sqrt{0+64}$

$AB=8$

Similarly,

$BC=\sqrt{(-1-(-1))^2+(12-(-4))^2}=8$

$CD=\sqrt{(7-(-1))^2+(-12-(-12))^2}=8$

$AD=\sqrt{(7-7)^2+(-12-(-4))^2}=8$

All sides of parallelogram are equal.

$AC=\sqrt{(-1-7)^2+(-12-(-4))^2}=8\sqrt{2}$

$BD=\sqrt{(7-(-1))^2+(-12-(-4))^2}=8\sqrt{2}$

Both diagonals are equal.

Since, all sides are equal and both diagonals are equal, therefore, the parallelogram ABCD is a square.

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So, parallelogram ABCD is a rhombus, rectangle or square. Therefore, the correct option is c.

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2 years ago

When x^3 + kx^2 − 4x + 2 is divided by x + 2 the remainder is 26, find k.

Elis [28]

Answer:

k = 6

Step-by-step explanation:

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2 years ago