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3 years ago

Segment AB falls on line 6x + 3y = 12. Segment CD falls on line 4x + 2y = 8. What is true about segments AB and CD?

Mathematics

2 answers:

astra-53 [7]3 years ago

8 0

Answer:

C. They are lines that lie exactly on top of one another because they have the same slope and the same y-intercep

Step-by-step explanation:

spin [16.1K]3 years ago

6 0

Answer:

C. They are lines that lie exactly on top of one another because they have the same slope and the same y-intercept.

Step-by-step explanation:

Given lines

6x + 3y = 12 ⇒ 2x + y = 4 ⇒ y = -2x + 4
4x + 2y = 8 ⇒ 2x + y = 4 ⇒ y = -2x + 4

The lines are same as both have same slope and y-intercept.

Correct statement is following:

C. They are lines that lie exactly on top of one another because they have the same slope and the same y-intercept.

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A farmer finds there is a linear relationship between the number of bean stalks, n, she plants and the yield, y, each plant prod

-Dominant- [34]

Answer:

Step-by-step explanation:

Given that a farmer finds there is a linear relationship between the number of bean stalks, n, she plants and the yield, y, each plant produces

When we consider this graph as a straight line, the two points lying on the line would be

(30, 30) and (34, 28) taking n as horizontal and y vertical

Using two point equation we find that

the equation of the line is

$\frac{y-y_1}{y_2-y_1} =\frac{x-x_1}{x_2-x_1}$

Substitute the points as x =n

$\frac{y-30}{28-30} =\frac{x-30}{34-30}\\y-30 = -0.5(x-30)\\y = -0.5x+45$

is the linear relationship between n and y

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2 years ago

Use the distributive property to generate an equivalent expression for 2(10x-3)

mr Goodwill [35]

Answer:

20x - 6

Step-by-step explanation:

You just multiply 2 by 10x and by -3

5 0

2 years ago

Read 2 more answers

The circle below is centered at the point (4,3) and has a radius length 5. What is its equation

Crazy boy [7]

The equation of a circle centred at point (m,n) and radius r is given by

(x-m)² + (y-n)² = r²
-------------------------------------------------------------
Centre = (4,3)
radius = 5

Equation:
(x - 4)² + (y - 3)² = 5²
⇒ x² - 8x + 16 + y² - 6y + 9 = 25
⇒ x² + y² - 8x - 6y + 25 = 25
⇒ x² + y² - 8x - 6y = 0

The equation of the circle is x² + y² - 8x - 6y = 0

Hope it helps!

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2 years ago

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When Maria finished medical school, she had a student loan. She repaid $27,000 of the loan within two years of graduating. That

Alchen [17]

Answer

$54,000

Equation

x=27,000

2x=54,000

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3 years ago