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4 years ago

Find the equation of the line that is perpendicular to the line 4x+2y=1 and passes through the point (-4,3)

Mathematics

1 answer:

serious [3.7K]4 years ago

5 0

First find the slope of the given line:

4x +2y = 1

Subtract 4x from each side:

2y = -4x + 1

Divide both sides by 2:

y = -2x +1/2

The slope is -2.

Now use the slope to find the y-intercept. Because the line is perpendicular, you need to use the negative inverse of the slope.

The negative inverse of -2 is 1/2

Now using the point-slope form y - y1 = m(x-x1)

Use the inverse slope for m, and the given point(-4,3) to get:

y - 3 = 1/2(x+4)

Simplify:

y - 3 = x/2 +2

Add 3 to each side:

y = x/2 + 5

Reorder the terms to get y = 1/2x +5

The answer is D.

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4 years ago

The length of a rectangle is one unit less than three times its width. Identify the graph that represents the relationship betwe

malfutka [58]

Answer:

The fourth graph

Step-by-step explanation:

Let x = width

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So we have a rectangle with length, 3x - 1, and width, x

So the area = y = (3x-1)(x)

So our equation:

y = (3x - 1)*(x)

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3 years ago

There are 76 milligrams of cholesterol in a 3.1 ounce serving of lobster. How much cholesterol is in 9 ounces of lobster?

lubasha [3.4K]

Answer:

A 9 ounce lobster has approximately 228 milligrams of cholesterol.

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8 0

3 years ago

Write an equation of the line that is parallel to 2x + 4y = 6 and passes through the point (6, 4). A) y = 2x + 4 B) y = 2x - 8 C

Lynna [10]

Answer:

$\large\boxed{D.\ y=-\dfrac{1}{2}x+7}$

Step-by-step explanation:

$\text{Let}\\k:\ A_1x+B_1=C_1\\\\l:\ A_2x+B_2y=C_2\\\\\text{then}\\\\k\ \parallel\ l\iff A_1=A_2\ \wedge\ B_1=B_2\\==========================$

$\text{We have the equation:}\ 2x+4y=6\\\\\text{Therefore the equation of a parallel line is:}\ 2x+4y=C\\\\\text{Put the coordinates of the given point to the equation and solve for}\ C:\\\\(6,\ 4)\to x=6,\ y=4\\\\C=2(6)+4(4)\\C=12+16\\C=28\\\\\text{The equation in the standard form:}\\\\2x+4y=28$

$\text{Convert to the slope-intercept form}\ y=mx+b:\\\\2x+4y=28\qquad\text{subtract}\ 2x\ \text{from both sides}\\\\4y=-2x+28\qquad\text{divide both sides by 4}\\\\y=-\dfrac{2}{4}x+\dfrac{28}{4}\\\\y=-\dfrac{1}{2}x+7$

8 0

4 years ago

Explain why 8 x ¾ is the same as adding ¾ + ¾ + ¾ + ¾ + ¾

Mekhanik [1.2K]

8 x ¾ is the same as adding ¾ + ¾ + ¾ + ¾ + ¾

because, when you are adding 3/4

8 times, you are 3/4 plus itself,

eight times,

so you are doing 3/4*8

5 0

3 years ago

Read 2 more answers