3 years ago

There is a picture below. Help me please!

Mathematics

1 answer:

seropon [69]3 years ago

8 0

Answer: The slope is 25. Y intercept is 100

Step-by-step explanation: Using y2-y1/x2-x1 just enter in any two x and y coordinates you want. For example...

1. (10, 350) and (20, 600)

2. 600-350/20-10

3. 250/10

4. Simplifies to 25.

1. Plug the points into y=mx+b

2. 350=25(10)+b

3. 350-250=250-250+b

4. 100=b

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Determine the number of possible triangles, ABC, that can be formed given angle A = 30°, a = 4, and b = 6.

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Answer:

Step-by-step explanation:

Alright, lets get started.

using Sine Law,

$\frac{sinA}{a}=\frac{sinB}{b}$

$\frac{sin30}{4}=\frac{sinB}{6}$

$sinB=0.75$

$angle B = 48.6$

Another angle will be

$angle B' = 180-48.6 = 131.4$

considering angle B, angle C = $180 - (48.6+30)=101.4$

considering angle B', angle C' = $180-(131.4+30)=18.6$

$\frac{sinA}{a}=\frac{sinC}{c}$

$\frac{sin30}{4}=\frac{sin101.4}{c}$

$c = 7.84$

Similarly, finding c'

$\frac{sinA}{a}=\frac{sinC'}{c'}$

$\frac{sin30}{4}=\frac{sin18.6}{c'}$

$c'=2.55$

Hence two triangles are possible with below details: : Answer

A = 30, B = 48.6, C = 101.4, c = 7.84

A = 30, B' = 131.4, C' = 18.6, c' = 2.55

Hope it will help :)

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3 years ago

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