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2 years ago

Rewrite the equation y + 6 = -5(x + 3) into general form (ax + by + c = 0)

Mathematics

2 answers:

vodomira [7]2 years ago

8 0

Answer:

5x + y = -21

Step-by-step explanation:

y + 6 = -5x - 15

5x + y + 6 = -15

5x + y = -21

Marina86 [1]2 years ago

4 0

<h3>Answer: 5x + y + 21 = 0</h3>

Work Shown:

y + 6 = -5(x + 3)

y + 6 = -5x - 15

y + 6 + 5x + 15 = 0

5x + y + 21 = 0

The equation is now in the form ax+by+c = 0 where a = 5, b = 1, c = 21.

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KATRIN_1 [288]

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Liula [17]

<h2>○=> <u>Correct option</u> :</h2><h2> $\color{hotpink}\bold{ (a) \: 130}$ </h2><h3>○=> <u>Steps to derive correct option</u> :</h3>

Angle (p+7)° and angle (3p+1)° are a linear pair so their sum will be equal to 180°.

Which means :

$=\tt 3p + 1 + p + 7 = 180$

Let us solve that equation to find the value of p and the two angles :

$=\tt 3p + 1 + p + 7 = 180$

$=\tt 3p + p + 1 + 7 = 180$

$=\tt 4p + 8 = 180$

$= \tt4p = 180 - 8$

$= \tt4p = 172$

$=\tt p = \frac{172}{4}$

$\hookrightarrow \tt \color{plum}p = 43$

Thus, value of p = 43

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$=\tt 43 + 7$

$\tt\color{plum}angle \: (p + 7)° =\tt 50°$

Measure of angle (3p+1)° :

$=\tt 43 \times 3 + 1$

$= \tt129 + 1$

$\tt\color{plum}angle \: (3p + 1)° = 130°$

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