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son4ous [18]
2 years ago
7

What is the equation of the line that passes through (–2, 3) and is parallel to 2x + 3y = 6?

Mathematics
2 answers:
Zinaida [17]2 years ago
7 0
2x + 3y = 6
3y = - 2x + 6
y = -2/3x + 2....slope here is -2/3
A parallel line will have the same slope

y = mx + b
slope(m) = - 2/3
(-2,3)...x = -2 and y = 3
now we sub, we r looking for b, the y intercept
3 = -2/3(-2) + b
3 = 4/3 + b
3 - 4/3 = b
9/3 - 4/3 = b
5/3 = b

ur equation is : y = -2/3x + 5/3 (slope intercept form)

y = -2/3x + 5/3
2/3x + y = 5/3
2x + 3y = 5 (standard form)
Anastasy [175]2 years ago
4 0
Paralell lines have the same slope

in the form
ax+by=c
a and b influence the slope
since it is the same slope
a and b remain the same

2x+3y=c
find c
(-2,3)
x=-2
y=3
input those points to find c
2(-2)+3(3)=c
-4+9=c
5=c

the equesiton is

2x+3y=5
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Answer:

Volume = 100 cm³

​Surface area of the square pyramid = 145 cm²

Step-by-step explanation:

Given:

Perpendicular height = 12cm

Square length = 5cm

Find:

Volume

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Computation:

Area of base = side²

Area of base = 5²

Area of base = 25 cm²

Volume = (1/3)(A)(h)

Volume = (1/3)(25)(12)

Volume = 100 cm³

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2 years ago
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Bogdan [553]

Answer:

<em>(d).</em>

Step-by-step explanation:

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7 0
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8 > 7 + \frac{x}{6}   Subtract 7 from both sides

1 > \frac{x}{6}   Multiply both sides by 6

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x < 6

You can graph your answer by drawing an open circle at the 6 and coloring the line to the left. The circle should be open, because x is <em>less than 6</em>, not less than or equal to. You would color to the left to show that x can be anything less than 6.

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Factors of 270:

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What are the factors of both 270 and 180?

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90.

Which one of these would give us the greatest amount of baskets possible?

Answer: 90 baskets.

I hope this helped you! c:
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