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3 years ago

10. Given two sets: set H and set W, what must be true about the union of Hand W: HUW

Mathematics

1 answer:

Leto [7]3 years ago

6 0

Answer:

Any elements that are in either H or W will be in the union of the sets

Step-by-step explanation:

Anytime that is asking for the union of two sets with the symbol (U) than it is asking you to figure out what elements are in either one of the two sets.

That means the Union would be in either set.

Therefore (Any elements that are in either H or W will be in the union of the sets)

(Also took the test)

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Answer:

x + 5y = 30

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x + 5y = 30

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Step-by-step explanation:

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2 years ago

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

marissa [1.9K]

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.