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nirvana33 [79]
3 years ago
7

Write an equation of the line that is perpendicular to 3x - 4y equals 9 + contains (-4, -5)

Mathematics
2 answers:
Eva8 [605]3 years ago
8 0
3x-4y=9
-4y=-3x+9
y=3x/4 -9/4

To get the perpendicular equation, first you have to find the find the opposite reciprocal of the slope.

y= -4x/3 +___

Now, when you've found the slope, you multiply it by the x value, and find the difference between that and the y value.

-4/3(-4)
16/3 -(-5)
10/3

Since you have to subtract 16/3, you out a negative on the 10/3

y= -4x/3 -10/3 should be your answer.
Inga [223]3 years ago
3 0
  • Slope-Intercept Form: y = mx+b, with m = slope and b = y-intercept

So perpendicular lines have <u>slopes that are negative reciprocals</u> to each other, but firstly we need to find the slope of the original equation. The easiest method to find it is to convert this standard form into slope-intercept.

Firstly, subtract 3x on both sides of the equation: -4y=-3x+9

Next, divide both sides by -4 and your slope-intercept form of the original equation is y=\frac{3}{4}x-\frac{9}{4}

Now looking at this equation, we see that the slope is 3/4. Now since our new line is perpendicular, this means that <em>its slope is -4/3.</em>

Now that we have the slope, plug that into the m variable and plug in (-4,-5) into the x and y coordinates to solve for the b variable as such:

-5=-\frac{4}{3}*-4+b\\\\-5=5\frac{1}{3}+b\\\\-10\frac{1}{3}=b

<u>In short, your new equation is y = -4/3x - 10 1/3.</u>

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Find the center, vertices, and foci of the ellipse with equation 2x2 + 9y2 = 18.
vova2212 [387]
To solve this problem you must apply the proccedure showb below:

 1. You have the following equation:

 <span> 2x^2+9y^2=18

 2. Dividing the equation by 18, you have:

 (x^2/9)+(y^2/2)=1

 3. The center is:

 [</span>(x-0)^2/9]3^2[(y-0)^2/√2]=1
<span>
 (h,k)=(0,0)

 The center is (0,0)

 4. The vertices are:

 a^2=9
 a=3

 Vertices: (-3,0) and (3,0)

 5. The foci is:

 c^2=a^2-b^2
 c=</span>√7
<span>
 The foci is: (-</span>√7,0) and (√7,0)
5 0
3 years ago
Deion divided 1/2 of a liter of plant fertilizer evenly among some smaller bottles. He put 1/8 of a liter into each bottle. How
Klio2033 [76]

Answer:

4 bottles

Step-by-step explanation:

Given

Fertilizer = \frac{1}{2}L

Bottles = \frac{1}{8}L

Required

Determine the number of bottles

Represent the number of bottles with N

<em>This implies that N bottles of </em>\frac{1}{8}L<em> fit into </em>\frac{1}{2}L<em> of fertilizer. The relationship between them is:</em>

<em></em>Fertilizer =  Bottles * N

\frac{1}{2}L = \frac{1}{8}L* N

\frac{1}{2} = \frac{1}{8}* N

Multiply through by 8

8 * \frac{1}{2} = 8 * \frac{1}{8}* N

4 = 1* N

4 = N

N = 4

<em>Hence, there are  N = 4</em>

5 0
3 years ago
Help help help help help
seraphim [82]

Answer:

x<-2

Step-by-step explanation:

-5x+2/6 >2

-5x+2>12

-5x>12-2

-5x>10

-x>2

x<-2

6 0
2 years ago
What's -2x-8y=12 in y intercept form
Free_Kalibri [48]
Y=2/-8x-1.5 ( pretty much add 2x to both sides, then divide all parts by negative 8. So it'd be 2 over -8 and then 12 divided by -8 which equals -1.5) 
7 0
3 years ago
Which inequality can be used to represent a number x that is less than equal to 8 and greater than -3
KIM [24]

Answer:  x =  -2,-1, 0, 1, 2, 3, 4, 5, 6, 7, 8

Solution:

A number line is used to represent the possible numbers that x can be.

x that is less than equal to 8 >>>> x ≤ 8

x is greater than -3 >>>>  x > -3

So it will be represented as,

  -3 < x ≤ 8

So all the numbers between  -3 and 8 including eight (because it has the equal sign)

-2,-1, 0, 1, 2, 3, 4, 5, 6, 7, 8

7 0
3 years ago
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