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4 years ago

What is an equation of the line that passes through the point (-6,-4)(−6,−4) and is parallel to the line x+6y=12x+6y=12?

Mathematics

1 answer:

masya89 [10]4 years ago

4 0

Answer:

x + 6y + 30 = 0

Step-by-step explanation:

x + 6y = 12

6y = -x + 12

y = -⅙x + 2

Slope: -⅙

y - (-4) = -⅙(x - (-6))

y + 4 = -⅙(x + 6)

-6y - 24 = x + 6

x + 6y + 30 = 0

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Simplify the expression by combining like terms<br> 3x+4y+y-2x+11+8x

Firdavs [7]

Answer:

9x + 5y + 11

Step-by-step explanation:

3x + 4y + y - 2x + 11 + 8x

Group like terms

(3x - 2x + 8x) + (4y + y) + 11

Combine like terms

9x + 5y + 11

8 0

3 years ago

The major and minor axes of an ellipse are 25 inches and 4 inches in length. What is the area of the ellipse?

Nostrana [21]

Answer:

Therefore, the area of the ellipse is:

Area = 78.5 inches

Step-by-step explanation:

The formula to find the area of the ellipse is

$\:a\:\times \:b\:\times \:\pi$

The major axis of an ellipse = 25 inches

The minor axis of an ellipse = 4 inches

The value of a = major axis/2 = 25/2 = 12.5 inches

The value of b = minor axis/2 = 4/2 = 2 inches

Thus

The area of the ellipse:

Area = $\:a\:\times \:b\:\times \:\pi$

$=\:12.5\:\times\:2\:\times\:\pi$

$=25\pi$

$=78.5$ inches ∵ $\pi =3.14$

Therefore, the area of the ellipse is:

Area = 78.5 inches

5 0

3 years ago

Write a problem that the expression 3(-7) -10 + 25 = -6

Sav [38]

This is true because the answer is -6 = -6

7 0

4 years ago

Read 2 more answers

What are the measures of angle b e c and angle a b e in the figure shown? (30 points.)

koban [17]

Angle bec= 20 and angle abe =160

8 0

2 years ago

Read 2 more answers

Nora and her children went into a grocery store and she bought $11.95 worth of apples and bananas. Each apple cost $1.25 and eac

SIZIF [17.4K]

Answer: apples = 7 and bananas = 8

Step-by-step explanation:

Let x represent the number of apples and y represent the number of banana,

and it was said that the total apples and bananas altogether is 15 , that is

x + y = 15 ................. equation 1

Also,

1.25x + 0.40y = 11.95 ............. equation 2

Solving the two equations simultaneously ,

From the first equation, x = 15 - y ........... equation 3

substitute equation 3 into equation 2, we have

1.25(15 - y) + 0.40y = 11.95

18.75 - 1.25y + 0.40y = 11.95

18.75 - 0.85y = 11.95

18.75 - 11.95 = 0.85y

6.8 = 0.85y

therefore y = 6.8/0.85

= 8

substitute y = 8 , into equation 3

x = 15 - 8

x = 7

Therefore , she bought 7 apples and 8 banana

4 0

4 years ago