Explain how you can find 3x 584 using expanded form

Mathematics

2 answers:

gayaneshka [121]2 years ago

8 0

500x3=1500
80x3=240
4x3=12

1500+240+12=1,752

tekilochka [14]2 years ago

3 0

The expanded for for 3x584 is:

3 x 500 + 3 x 80 + 3 x 4

You can multiply 3 by each number (500, 80, and 4) and then add them all up.

3x500=1500
3x80=240
3x4=12

1500+240+12=1,752

3x584=1,752

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8. Write the equation of the line that is parallel to the line 2x + 5y = 15 and passes through the

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Answer:

$\sf y = \bold -\frac{2}{5} x -3$

Explanation:

part A identification for slope:

$\sf 2x + 5y = 15$

$\sf 5y = -2x + 15$

$\sf y = \frac{-2x + 15}{5}$

$\sf y = -\frac{2 }{5} x+3$

comparing with slope intercept form: y = mx + b

we can find that here the slope is $\bold -\frac{2}{5}$

part B, solving the equation:

if the line is parallel, then the slope will be same.

given coordinates: ( - 10, 1 )

using the equation:

y - y₁ = m( x - x₁ )

$\sf y - 1 = \bold -\frac{2}{5} (x --10)$

$\sf y = \bold -\frac{2}{5} x -4 + 1$

$\sf y = \bold -\frac{2}{5} x -3$

Extra information:

check the image below. this proves that the line is parallel and passes through point (-10, 1). the blue line is question line and red the answer line.