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3 years ago

-z = 8 ----------- FIND Z

Mathematics

1 answer:

pogonyaev3 years ago

3 0

Answer:

z=-8

Step-by-step explanation:

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What is the equation of a line, in Slope Intercept Form, with a slope of 4 and passes through the point (1, 6)?

Butoxors [25]

The slope-intercept form:

$y=mx+b$

m - slope

b - y-intercept

We have the slope m = 4 → $y=4x+b$

and point (1, 6). Substitute:

$6=4(1)+b$

$6=4+b$ <em>subtract 4 from both sides</em>

$2=b\to b=2$

<h3>Answer: y = 4x + 2</h3>

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3 years ago

Find the interior angle of a regular polygon which has 6 sides

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Answer:

120°.

Step-by-step explanation:

The sum of all interior angles in a polygon with $n$ sides ( $n\in \mathbb{Z}$ , $n \ge 3$ ) is equal to $(n - 2) \cdot 180^{\circ}$ . (Credit: Mathsisfun.)

The polygon here has 6 sides. $n = 6$ . Its interior angles shall add up to $(6 - 2) \times 180^{\circ} = 720^{\circ}$ .

Consider the properties of a regular polygon. (Credit: Mathsisfun.)

All sides in a regular polygon are equal in length.
All angles in a regular polygon are also equal.

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3 years ago

Without using the formula, work out the gradient of the graph shown.

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Answer:

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Step-by-step explanation:

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2 years ago

In a research laboratory, a scientist measures the mass of a 1-carat diamond and finds it to be 200 milligrams, measured to the

vlada-n [284]

Answer:

$D=3.5\ gr/cm^3$

Step-by-step explanation:

<u>Density</u>

The density of an object of mass m and volume V is given by

$\displaystyle D=\frac{m}{V}$

It can be expressed in common units like $gr/lt, Kg/m^3, gr/cm^3$ or any other combination of proper mass [M] by volume [V] units.

The data provided in the question is

$m=200\ mg = 0.2\ gr$

$V=0.057\ cm^3$

Thus, the measured density is

$\displaystyle D=\frac{0.2\ gr}{0.057 \ cm^3}$

$\boxed{D=3.5\ gr/cm^3}$

We have expressed the result with 1 decimal place because the mass was measured to the nearest hundred milligrams (or one-tenth grams). Any further decimal is senseless because that precision comes from calculations, not from measurements.

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3 years ago

Make x the subject of the formula<br> х<br> +12c = 5d<br> 63

dezoksy [38]

X=5db^3-2cb^3
Workup in photo below.
Good luck

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3 years ago