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Ugo [173]
3 years ago
6

Write the equation of the line that passes through (0, 3) and is parallel to the line 3x + 5y = 6.

Mathematics
1 answer:
Pavel [41]3 years ago
3 0
Please, see the offered decision:
1) common equation for lines is y=kx+b. If k₁=k₂ (for line 1 and line 2) ⇒ 'line 1' || 'line 2'.
2) for line 3x+5y=6   k= -3/5. It means (according to item 1) for unknown line k is the same (-3/5).
3) using points (0;3) it is easy to find parameter b (x=0, y=3) via y=kx+b:
3=0*(-3/5)+b ⇔ b=3.
4) finaly (k=-3/5; b=3):
y=- \frac{3}{5}x+3 \ or \ 3x+5y=15
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Airida [17]

Answer:

<h3>-3</h3>

Step-by-step explanation:

For two parallel lines. their slope are equal

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Hence the value of y is -3

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3 years ago
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Serggg [28]

-2x + 6 + 6x = 6 (2x - 3) <em>this is the equation</em>

-2x + 6 + 6x = 12x - 18 <em>distributive property has been applied</em>

4x + 6 = 12x - 18 <em>like terms have been added</em>

6 = 8x -18 <em>4x has been</em><em> </em><em>subtracted from both sides</em>

24 = 8x <em>-18 has been added to both sides</em>

3 = x <em>8 has been divided from both sides</em>

<em></em>

I hope this helps! Let me know if I need to explain more or if I got something wrong. Have a nice day!

5 0
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The flag of a country contains an isosceles triangle.​ (Recall that an isosceles triangle contains two angles with the same​ mea
weeeeeb [17]

31 degrees, 31 degrees, 118 degrees

Step-by-step explanation:

Step 1 :

Let x be the measure of 2 angles of the given isosceles triangle with same measure

Let y be the measure of  3rd angle

So we have x + x + y = 180

Step 2 :

Given that the measure of  3rd angle of  triangle is 25​° more than three times the measure of either of the other two​ angles

So we have , y = 3 x + 25

Step 3:

Substituting for y in the first equation we have,

x + x + 3 x + 25 = 180

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Hence the 2 angles of the triangle are 31 degrees.

Step 4:

we have y = 3 x + 25

=> y = 3 * 31 + 25 = 118

Hence the 3rd angle of given triangle is 118 degrees

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Answer:

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