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yan [13]
3 years ago
8

On a coordinate plane, 2 lines are shown. Line A B has points (negative 4, negative 2) and (4, 4). Line C D has points (0, negat

ive 3) and (4, 0).
Which statement best explains the relationship between lines AB and CD?


They are parallel because their slopes are equal.

They are parallel because their slopes are negative reciprocals.

They are not parallel because their slopes are not equal.

They are not parallel because their slopes are negative reciprocals
Mathematics
2 answers:
natita [175]3 years ago
6 0

Answer:

The first option

Step-by-step explanation:

Just took the test and got it right

klasskru [66]3 years ago
3 0

Answer:

Option A) They are parallel because their slopes are equal.

Step-by-step explanation:

We are given the following in the question:

Line AB:

(-4, -2), (4,4)

Line CD:

(0,-3), (4,0)

Formula to calculate slope =

(x_1, y_1), (x_2, y_2)\\\\\\text{Slope} = m = \dfrac{y_2 - y_1}{x_2 - x_1}

Slope of AB =

(-4, -2), (4,4)\\\\m_{AB} = \dfrac{4-(-2)}{4-(-4)} = \dfrac{6}{8} = \dfrac{3}{4}

Slope of CD =

(0,-3), (4,0)\\\\m_{CD} = \dfrac{0-(-3)}{4-0} = \dfrac{3}{4}

Thus,

m_{AB} = m_{CD}

Thus, the two lines are parallel.

Option A) They are parallel because their slopes are equal.

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My best answer will be 12
7 0
2 years ago
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-x + 4y = 15<br> 5x + 6y =3 <br> A (3,3)<br> B (-3,-3)<br> C (-3,3)<br> D (3,-3)
viva [34]

Answer:

b

Step-by-step explanation:

6 0
3 years ago
What is the answer for 144=-12(x+5) must show work
miskamm [114]

Answer:

<h2>x = -17</h2>

Step-by-step explanation:

-12(x+5)=144\qquad\text{divide both sides by (-12)}\\\\\dfrac{-12(x+5)}{-12}=\dfrac{144}{-12}\\\\x+5=-12\qquad\text{subtract 5 from both sides}\\\\x+5-5=-12-5\\\\x=-17

8 0
3 years ago
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A).
insens350 [35]

Answer:

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Step-by-step explanation:

6 0
2 years ago
William is 3 years older than Charmaine.The sum of 3 times charmaines age and 2 times Williams age is 76.How old are William and
astra-53 [7]
Charmaine= x
William=x+3
3 times Charmaine = 3x
2times William = 2x+6
5x+6=76
5x=76-6
5x=70
X=14
Charmaine is 14
William is 3 years older so is 17

Check:
17x2= 34
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34+42=76

So Charmaine is 14
William is 17
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