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4 years ago

Determine the slope of a line that passes through A(-4, 7) and B(6,3)

Mathematics

2 answers:

Helga [31]4 years ago

7 0

Answer:

$m=\frac{-2}{5}$

Step-by-step explanation:

Use the formula:

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

Plug in the numbers (coordinates) given, like so:

$m=\frac{3-7}{6+4}$

$m=\frac{-4}{10}$

Simplify:

$m=\frac{-2}{5}$

aleksklad [387]4 years ago

6 0

Answer:

-2/5

Step-by-step explanation:

The slope is found by

m= (y2-y1)/(x2-x1)

= (3-7)/(6 - -4)

= -4/(6+4)

- 4/(10)

= -2/5

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Which expression is NOT equivalent to 2(x + 3) + 3(x + 2)?

laila [671]

Answer:

the Answer is A

Step-by-step explanation:

I hoped I helped:)

3 0

3 years ago

Find the volume of the tetrahedron with the given vertices. (2, 0, 0), (0, 4, 0), (0, 0, 4), (2, 4, 4)

Katarina [22]

Answer:

The volume of the tetrahedron is

$\frac{-32}{3}$

Step-by-step explanation:

To find the volume of a tetrahedron with vertices (2, 0, 0), (0, 4, 0), (0, 0, 4), (2, 4, 4).

We know by definition that the volume of a tetrahedron with vertices $(x_{1}, y_{1}, z_{1}), (x_{2}, y_{2}, z_{2}), (x_{3}, y_{3}, z_{3})$ is

$\frac{1}{6}\begin{vmatrix}2 & 0 & 0 & 1\\0 & 4 & 0 & 1\\0 & 0 & 4 & 1\\2 & 4 & 4 & 1\end{vmatrix}$

From here we have:

$\frac{1}{6}\begin{vmatrix}x_1 & y_1 & z_1 & 1\\x_2 & y_2 & y_2 & 1\\x_3 & y_3 & z_3 & 1\\x_4 & y_4 & y_4 & 1\end{vmatrix}$

Finding the determinant of that matrix we have:

$\frac{1}{6} (-64)$ = $\frac{-32}{3}$

7 0

3 years ago

It is given that 2(3 + x) = 6 + 2x. This is an example of the ___________ property. A) associative B) commutative C) distributiv

nevsk [136]

Keywords:

Expression, simplified, property, distributive

For this case we have an expression of the form $2 (3 + x)$ that was simplified to the expression $6 + 2x$ . They ask us to indicate which property was used to simplify the expression.

We have that, by definition, the distributive property states that:

$a (b + c) = ab + ac$

So:

$2 (3 + x) = 2 * 3 + 2 * x = 6 + 2x$ is an example of the distributive property.

Answer:

This is an example of the property distributive

Option C

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3 years ago

David is a truck driver. He drives 546 miles each day. How many total miles does he drive in 12 days?

Mashutka [201]

Answer:

6552

Step-by-step explanation:

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4 years ago

Read 2 more answers

What is .016 as a percent

soldier1979 [14.2K]

When you convert .016 to a percent you get 1.6%

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4 years ago