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3 years ago

Need help writing the standard form of the equation

Mathematics

2 answers:

Tatiana [17]3 years ago

6 0

5x - 3y = 0

Explanation:
Start with the slope-point form: (y - y1) = m(x -x1)

With the point (3,5) and slope 5/3 to get:

Y - 5 = 5/3 (x - 3)

Our target form is the standard form: Ax + By = C

Multiplying both sides of our slope-point form by 3 and expanding the left side:

3y - 15 = 5x - 15

Re-arrange into standard form:
5x - 3y = 0

Hope I helped ❤️
Plz mark brainiest? :)

anyanavicka [17]3 years ago

5 0

Answer:

10 y=-1x-1 12 y=5/3x+5

Step-by-step explanation:

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Answer:

The drawn in the attached figure

see the explanation

Step-by-step explanation:

First case

In the triangle ABC

Let

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we know that

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substitute the given values

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therefore

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Second case

In the triangle ABC

Let

$a=4\ units\\b=2/ units\\A=30^o$

Applying the law of sines

Find the measure of angle B

$\frac{a}{sin(A)}=\frac{b}{sin(B)}$

substitute the given values

$\frac{4}{sin(30^o)}=\frac{2}{sin(B)}$

$sin(B)=0.25$

using a calculator

$B=14.48^o$

Find the measure of angle C

we know that

The sum of the interior angles in any triangle must be equal to 180 degrees

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$A=30^o\\B=14.48^o$

therefore

$30^o+14.48^o+C=180^o$

$C=135.52^o$

Find the length side c

Applying the law of sines

$\frac{c}{sin(C)}=\frac{a}{sin(A)}$

substitute the given values

$\frac{c}{sin(135.52^o)}=\frac{4}{sin(30^o)}$

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therefore

The dimensions of the triangle are

$A=30^o$

$B=14.48^o$

$C=135.52^o$

$a=4\ units\\b=2\ units\\c=5.61\ units$

see the attached figure to better understand the problem

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