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2 years ago

A line segment passes through the points (2,6) and

Mathematics

1 answer:

julsineya [31]2 years ago

6 0

Answer:

The gradient (slope) of the line is 3

Step-by-step explanation:

Use the formula for slope where $(x_1,y_1)\rightarrow(2,6)$ and $(x_2,y_2)\rightarrow(10,30)$

$m=\frac{y_2-y_1}{x_2-x_1}\\ \\m=\frac{30-6}{10-2}\\ \\m=\frac{24}{8}\\ \\m=3$

Therefore, the gradient (slope) of the line is 3

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Which steps would you use to plot the point (7, −6, −5) in a 3-dimensional coordinate system starting from the origin?

I am Lyosha [343]

Answer:

B. move forward 7, left 6, and down 5

Step-by-step explanation:

By the <u>convention of 3D geometr</u>y, the coordinates of a point (x,y,z) represent how far the point is from the origin forward-backward , right/left , up-down respectively with prior one for the positive coordinate and latter for the negative coordinate.

so we need to move forward 7 for x=7 then to left 6 for y=-6 and then down 5 for z=-5.

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3 years ago

Sasha can run at an average speed of 9 3/4 min/mi. She runs at this speed for 68 1/4 min.

valentina_108 [34]

She can travel <span>665.4375 miles in 68.25 min.</span>

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3 years ago

A sample of gold has a mass of 579 g. The volume of the sample is 30 cm3. What is the density of the gold sample?

Ugo [173]

The density of the gold sample is 19.3g/cm³

Let the mass of the gold sample be represented by m

m = 579 g

Let the volume of the gold sample be represented by V

V = 30 cm³

Let the density of the gold sample be represented by ρ

The formula for the density is:

$Density = \frac{Mass}{Volume}$

$\rho = \frac{m}{V} \\\rho = \frac{579}{30} \\\rho = 19.3 g/cm^3$

The density of the gold sample is 19.3g/cm³

Learn more here: brainly.com/question/17780219

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3 years ago

Can anyone help me refresh my mind?!

Nuetrik [128]

That is correct. The log3 stays the same and the numerator goes first and then the denominator goes second. When it’s a fraction like that one, the standard form would be subtraction.

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3 years ago

Find the value of k that makes the slope between the points (k,3) and (1,-4) equal to 0.75

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3 years ago