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MaRussiya [10]
3 years ago
10

The points (6,8) and (15,20) form a proportional relationship. find the slope of the line through the points: then use the slope

to graph the line.
what is the slope?!

Mathematics
2 answers:
Alexus [3.1K]3 years ago
6 0
The slope is 4/3

Explanation:
To find slope you use the slope formula, which is rise/run, and shown in the picture attached.

So when you use your coordinates you will get: 20 - 8
---------- Which gives you 12/9,
15 - 6 and then when you
simplify that you get 4/3

Step2247 [10]3 years ago
6 0
The slope is 4/3 if u simplify.
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Rainbow [258]

Answer:

\sin L = 0.60

tan\ N = 1.33

\cos L = 0.80

\sin N = 0.80

Step-by-step explanation:

Given

See attachment

From the attachment, we have:

MN = 6

LN = 10

First, we need to calculate length LM,

Using Pythagoras theorem:

LN^2 = MN^2 + LM^2

10^2 = 6^2 + LM^2

100 = 36 + LM^2

Collect Like Terms

LM^2 = 100 - 36

LM^2 = 64

LM = 8

Solving (a): \sin L

\sin L = \frac{Opposite}{Hypotenuse}

\sin L = \frac{MN}{LN}

Substitute values for MN and LN

\sin L = \frac{6}{10}

\sin L = 0.60

Solving (b): tan\ N

tan\ N = \frac{Opposite}{Adjacent}

tan\ N = \frac{LM}{MN}

Substitute values for LM and MN

tan\ N = \frac{8}{6}

tan\ N = 1.33

Solving (c): \cos L

\cos L = \frac{Adjacent}{Hypotenuse}

\cos L = \frac{LM}{LN}

Substitute values for LN and LM

\cos L = \frac{8}{10}

\cos L = 0.80

Solving (d): \sin N

\sin N = \frac{Opposite}{Hypotenuse}

\sin N = \frac{LM}{LN}

Substitute values for LM and LN

\sin N = \frac{8}{10}

\sin N = 0.80

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\Delta KLJ\sim\DeltaNPM (AAA) Corresponding angles are congruent.

Therefore, the sides of the triangles are proportional:

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(25)(4x)+(25)(4)=600\\\\100x+100=600    subtract 100 from both sides

100x=500     divide both sides by 100

x=5

--------------------------------------------------------------------------------------------

\Delta PQR\cong\Delta STU (SAS)

If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.

Therefore we have the equation:

3y-2=y+4\qquad|+2\\\\3y=y+6\qquad|-y\\\\2y=6\qquad|:2\\\\y=3

The perimeter of △PQR:

P=4+6+3y-2=8+3y

Substitute the value of y to the expression:

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4x-5y=13
love history [14]
Hello : 
<span>4x-5y=13...(1)
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Step-by-step explanation:

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