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stiks02 [169]
3 years ago
11

What is an equation of the line that passes through the point (6,0) and is perpendicular to the line 3x+4y=20

Mathematics
1 answer:
My name is Ann [436]3 years ago
7 0

Answer:

The equation of the line is y = 4/3x - 8

Step-by-step explanation:

In order to find this, we first have to find the slope of the original line. We do this by solving for y.

3x + 4y = 20

4y = -3x + 20

y = -3/4x + 5

Now that we have the slope of -3/4 we can find the perpendicular slope. The perpendicular slope of any time is the opposite and reciprocal slope. So we flip -3/4 to get -4/3 and then we make it positive (4/3). Now that we have our new slope, we can input it along with the point into point-slope form to find the equation.

y - y1 = m(x - x1)

y - 0 = 4/3(x - 6)

y = 4/3x - 8

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Please help!<br> Find the slope of the line. <br><br> A: 3/4<br> B:-4/3<br> C:-3/4<br> D:4/3
Fofino [41]

C

hope this helps you

3 0
4 years ago
Read 2 more answers
Help me with #22 Please i need steps too
VladimirAG [237]

Answer:

\frac{1}{2} (8)(x+4)=3(x+6)\\x=2

Step-by-step explanation:

\frac{1}{2} bh=bh\\\\\frac{1}{2}(8)(x+4)=3(x+6)\\4(x+4)=3x+18\\4x+16=3x+18\\4x=3x+2\\x=2

1. set the equation for the area of each shape equal to each other

2. simplify each side until you get 4x+16=3x+18

3. subtract 16 from both sides which will give you 4x=3x+2

4. subtract 3x from both sides which will give you the value of x. x=2

5. check that x=2 is correct by plugging it into the equations

triangle:

area=\frac{1}{2} (8)(2+4)\\area=4(6)\\area=24

rectangle:

area=3(2+6)\\area=3(8)\\area=24

the areas are the same

4 0
3 years ago
Quanto é três x ao quadrado menos sete x mais dois e igual a zero ?
Sergeu [11.5K]
3x² - 7 x 2 ? É isso ? 
3 0
3 years ago
HELP ME FAST PLEASE!!<br><br> If -x is positive, then -x&gt;0??<br><br> TRUE OR FALSE???
Free_Kalibri [48]

Answer:

true because if it's positive it's greater than zero

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Please help <br><br> questions 12,14,16
notka56 [123]

Answer:

12) y=3x-15

14) y=-1/2x

16) y=13x-105

Step-by-step explanation:

Parallel lines always have the same slopes but different y-intercepts. So, we can make the equation (b is y-intercept of new equation):

12) y=3x+b

14) y=-1/2x+b

16) y=13x+b

now, we can plug in each of the coordinates given to these equations.

12) (4,-3): 4 is x, -3 is y.

       -3=3(4)+b

      simplify: b= -15

14) (-4,2): -4 is x, 2 is y

      2=-1/2(-4)+b

        simplify: b=0

16) (9,12): 9 is x, 12 is y

       12=13(9)+b

       simplify: b=-105

Now, plug in those numbers to your equation for b value.

12) y=3x-15

14) y=-1/2x

16) y=13x-105

*for 14 we don't need to write anything after -1/2x because b=0*

3 0
3 years ago
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