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lutik1710 [3]
3 years ago
14

Line M passes through the points (5,1) and (8,6) while line n passes through the point (-4,3) and (-1,8) . Which statement accur

ately describes the relationship between the two lines ?
Mathematics
2 answers:
kirill [66]3 years ago
4 0
M=(6-1)/(8-5)=5/3

y=5x/3+b, using (5,1)

1=25/3+b

b=-22/3

y=(5x-22)/3

...

m=(8-3)/(-1--4)=5/3...

y=5x/3+b, using (-1,8)

8=-5/3+b

b=29/3

y=(5x+29)/3

Since they have the same slope and difference y-intercepts they are parallel lines and will never intersect.
Aleksandr [31]3 years ago
4 0

Answer:

They have the same slope so they are parallel lines

Step-by-step explanation:

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The number of airline passengers in 1990 was 466 million. The number of passengers traveling by airplane each year has increased
taurus [48]

Answer:

2010.

Step-by-step explanation:

We have been given an exponential growth formula P(t)=466\cdot 1.035^t, which represents number of passengers traveling by airplane since 1990.

To find the year in which 900 million passengers will travel by airline, we will equate the given formula by 900 and solve for t as:

900=466\cdot 1.035^t

\frac{900}{466}=\frac{466\cdot 1.035^t}{466}1.9313304721030043=1.035^t

Take natural log of both sides:

\text{ln}(1.9313304721030043)=\text{ln}(1.035^t)

Using property \text{ln}(a^b)=b\cdot \text{ln}(a), we will get:

\text{ln}(1.9313304721030043)=t\cdot \text{ln}(1.035)

0.658209129198=t\cdot 0.034401426717

\frac{0.658209129198}{0.034401426717}=\frac{t\cdot 0.034401426717}{0.034401426717}

19.1331927775=t\\\\t=19.1331927775

This means that in the 20th year since 1990, 900 million passengers would travel by airline.

1990+20=2010

Therefore, 900 million passengers would travel by airline in 2010.

6 0
3 years ago
X^2 - 81y^2<br><br>can someone please answer this ?​
harina [27]

Answer:

Since both terms are perfect squares, factor using the difference of squares formula.

(x+9y)(x−9y)

7 0
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Are expressions equivalent to 3(62)?
Brrunno [24]

Answer:

186

Step-by-step explanation:

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Write a paragraph proof.
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It is given that line segment BC is congruent to line segment EC and that line segment AC is congruent to DC. Because of the vertical angles theorem, angle BCA is equal to angle DCE. Therefore, triangles CBA AND DEC are congruent by SAS. Using CPCTC, BA is equal to ED.
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