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stellarik [79]
3 years ago
12

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

= 2x - 8 y = - 2x + 16 y = - 1/2 * x + 4
Mathematics
1 answer:
netineya [11]3 years ago
5 0

Answer:

B - y = 2x - 8

Step-by-step explanation:

Step 1: find slope

2x + 4y = 6

4y = -2x + 6

Make y the subject of the formula

y =( -2x + 6)/4

We can separate to get the slope

y = -2x/4 + 6/4

y = -x/2 + 3/2

Slope m = -1/2

Step 2: using a point slope form equation

y - y1 = m ( x - x1)

Note: if two lines are perpendicular to the other, it is always a negative reciprocal of each other

ie m = 2

Substitute m into the equation

y - y1 = 2(x - x1)

Step 3: sub the point

( 6 , 4)

x1 = 6

y1 = 4

y - 4 = 2( x - 6)

Step 4 : using a slope intercept form equation

Open the bracket

y - 4 = 2x - 12

y = 2x - 12 + 4

y = 2x - 8

The equation of a line is

y = 2x - 8

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The blanks are both 8

Step-by-step explanation:

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4 0
3 years ago
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Simplify the following polynomial expression. (5x^4 - 9x^3 + 7x - 1) + (-8x^4 + 4x^2 - 3x + 2) - ( -4x^3 + 5x - 1)( 2x - 7)
Lady bird [3.3K]

Answer: 5x^{4}-37x^{3}-6x^{2} +41x-6


Step-by-step explanation:

1. You must apply the Distributive property.  You need to remember the product property of exponents: If you multiply powers with the same base, you must add the exponents. Them you have:

=5x^{4}-9x^{3}+7x-1-8x^{4}+4x^{2}-3x+2-(8x^{4}+28x^{3}+10x^{2}-35x-2x+7)\\=5x^{4}-9x^{3}+7x-1-8x^{4}+4x^{2}-3x+2-8x^{4}-28x^{3}-10x^{2}+35x+2x-7

2. Now, you must add the like terms. Then, you obtain the following result:

=5x^{4}-37x^{3}-6x^{2} +41x-6



7 0
3 years ago
Will mark brainliest for whoever answers correctly
Veronika [31]

Answer:

The answer is 2

Step-by-step explanation:

x+y = (1+i) + (1-i)

open the bracket...

1+i + 1-i

collect like terms

=1+1+i-i

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4 0
2 years ago
Please help I’m really lost. This is my final hw.
sleet_krkn [62]

Answer:

A).

{ \tt{first \: rotation = 360 \degree}} \\ { \tt{second \: rotation = 360 \degree}} \\ {  \tt{third \: rotation = 90 \degree + (90 - 60) \degree}} \\ { \tt{third \: rotation = 120 \degree}} \\  \\ { \bf{angle}} = { \tt{ {1}^{st}  \: rotation +  {2}^{nd}  \: rotation +  {3}^{rd}  \: rotation}} \\  = 360 \degree + 360\degree + 120\degree \\  = { \tt{840\degree}}

7 0
3 years ago
The number of acres a farmer uses for planting pumpkins will be at least 2 times the number of acres for planting corn. The diff
jeka94

Answer:

Step-by-step explanation:

A) Let x represent acres of pumpkins, and y represent acres of corn. Here are the constraints:

  x ≥ 2y . . . . . pumpkin acres are at least twice corn acres

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B) If we assume the objective is to maximize profit, the profit function we want to maximize is ...

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C) see below for a graph

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D) The profit for an acre of pumpkins is the highest, so the farmer should maximize that acreage. The constraint on the number of acres of pumpkins comes from the requirement that it not exceed 18 acres. Then additional profit is maximized by maximizing acres of corn, which can be at most half the number of acres of pumpkins, hence 9 acres.

So profit is maximized for 18 acres of pumpkins and 9 acres of corn.

Maximum profit is $360·18 +$225·9 = $8505.

7 0
3 years ago
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