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leva [86]
1 year ago
13

A line is parallel to y = 5x + 9 and

Mathematics
1 answer:
ryzh [129]1 year ago
4 0
<h3>Answer:    y = 5x + 7</h3>

Work Shown:

y - y1 = m(x - x1)

y - (-3) = 5(x - (-2))

y + 3 = 5(x + 2)

y + 3 = 5x + 10

y = 5x + 10 - 3

y = 5x + 7

The equation is now in slope intercept form y = mx+b with m = 5 as the slope and b = 7 as the y intercept. Plugging x = -2 into this equation will lead to y = -3.

Side note: parallel lines have equal slopes but different y intercepts.

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The motorcycle engine on a kawasaki ninja 1000 has a displacement of 1043 cubic-centimeters (cm3). in order to calculate its eng
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\boxed{\boxed{ \ 0.061 \frac{inch^3}{cm^3}\ }}

<h3>Further explanation</h3>

We will calculate the unit conversion factor used to convert its engine displacement from cubic-centimeters to cubic-inches.

The relationships between inch and cm are as follows:

\boxed{ \ 1 \ inch = 2.54 \ cm\ }

Inches and cm represent units of length.

Made into fractions, 1 inch as the denominator and 2.54 cm as the numerator.

\boxed{ \ \frac{1 \ inch}{2.54 \ cm} \ }

As a unit conversion factor of volume, the numerator and the denominator in cubic.

\boxed{ \ \frac{(1 \ inch)^3}{(2.54 \ cm)^3} \ }

\boxed{ \ \frac{1 \ inch^3}{16.387 \ cm^3} \ }

Thus, we get the unit conversion factor

\boxed{\boxed{ \ 0.061 \frac{inch^3}{cm^3}\ }}

Let's use this unit conversion factor to calculate its engine displacement in new units.

\boxed{= 1,043 \ cm^3 \times 0.061 \ \frac{inch^3}{cm^3}}

Note for cm³ units that have been crossed out.

The conversion result is \ \boxed{ \ 63.623 \ inch^3\ }

<h3>Learn more</h3>
  1. Convert cubic-kilometers to cubic-meters brainly.com/question/1446243
  2. How to write in scientific notation brainly.com/question/7263463
  3. Calculating mass based on density and volume brainly.com/question/4053884

Keywords: the motorcycle engine, Kawasaki Ninja 1000, 1043 cubic-centimeters (cm³), to calculate, its engine displacement, in cubic-inches (in³), what unit conversion factor

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