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3 years ago

PLEASE HELP ):

Mathematics

1 answer:

pychu [463]3 years ago

7 0

Answer:

n=2

Step-by-step explanation:

5 n

— = —

10 4

5x4=20/10=2

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What's an equation that the passes through (-6,4) and is parallel to y=1/2x+8

deff fn [24]

By definition, if two lines share the same gradient, they are said to be parallel. So, we know for this equation, it must have a gradient of 1/2.

Now, since the point (-6, 4) passes through the line, we know it must satisfy the equation. Since we have a gradient/slope and a point, we can use the point-gradient form:

$y - y_1 = \frac{1}{2}(x - x_1)$ , where $(x_1, y_1)$ represents the points being passed through.

$y - 4 = \frac{1}{2}(x + 6)$
$2y - 8 = x + 6$
$2y = x + 14$
$y = \frac{1}{2}x + 7$

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3 years ago

The coordinates triangle ABC are A (0, 2), B (-2, 6), and C (4, 0). Find the slope of BC.

salantis [7]

In the given triangle, the slope of line BC is (C) -1.

<h3>What is the slope?</h3>

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.

A line's slope is how steeply it slopes from LEFT to RIGHT.

The slope of a line is determined by dividing its rise, or vertical change, by its run, or horizontal change.

No matter which two locations on the line you choose, the slope of a line is always constant (it never varies).

So, the slope of line BC:

Coordinates of BC are:

B: (-2, 6)

C: (4, 0)

Slope formula: m = y2-y1/x2-x1

Now, substitute the values and calculate as follows:

m = y2-y1/x2-x1

m = 0-6/4-(-2)

m = -6/6

m = -1

Therefore, in the given triangle, the slope of line BC is (C) -1.

Know more about slopes here:

brainly.com/question/29280886

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1 year ago

The equation y = 11x represents the liters of water a baseball team drinks each practice. This equation shows that after two pra

Stells [14]

The constant of proportionality is equal to 11.

<h3>Constant of Proportionality</h3>

The constant of proportionality is the ratio that relates two given values in what is known as a proportional relationship. Other names for the constant of proportionality include the constant ratio, constant rate, unit rate, constant of variation, or even the rate of change.

In this question, the constant of proportionality is that value that doesn't change or represents the number of players while x represented the number of games they played.

The constant of proportionality can be solved mathematically as

$y = 11x\\x = 2\\22 = 11(2)\\22 = 22\\$