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Ratling [72]
2 years ago
10

Given line y-1/6x+9,find a perpendicular line to the given line passes through points (6,-3)?

Mathematics
1 answer:
DerKrebs [107]2 years ago
7 0

Answer:

y + 3 = (6)(x - 6)

Step-by-step explanation:

The proper format for this equation y-1/6x+9 is y = (-1/6)x+9.

Any line perpendicular to y = (-1/6)x+9 has the slope which is the negative reciprocal of that of y = (-1/6)x+9, or the negative reciprocal of -1/6.  That is +6.  

Thus, the desired line, which passes through (6, -3), is found using the point-slope formula for the equation of a straight line:

y + 3 = (6)(x - 6)

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Please help
user100 [1]

Answer:

Length of garden will be 30 metres.

Step-by-step explanation:

Let the Width of garden be x metres.

then,

Length of garden will be (x+6) metres.

Area = Length × Breadth

720 = x X (c+6)

720 = x²+6x

0 = x²+6x-720

As we can see above equation is a quadratic equation in the form of ax²+bx+C.

so,

=  \frac{ - b ±  \sqrt{{b}^{2} - 4ac}  }{2a}  \\ =   \frac{ - 6 ±   \sqrt{{6}^{2} - 4 \times 1 \times  - 720}  }{2}  \\ =    \frac{ - 6 ±  \sqrt{36 + 2880} }{2}  \\  =   \frac{ - 6 ±  \sqrt{2916} }{2}  \\  =   \frac{ - 6 ± 54}{2}\\= \frac{-6+54}{2} ... \frac{ - 6 - 54}{2}  \\  =  \frac{48}{2} ... \frac{ - 60}{2}  \\  = 24... - 30

One of the Roots of the Quadratic equation is 24 and other is -30.

And as we know width of any garden cannot be negative so the width of garden will be 24 metres.

As we got the width,

adding 6 to it will give us the Length,

So,

24 metres + 6 = 30 metres.

Length of the garden is 30 metres.

Hope It Helped You ;)

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@khuturr_

8 0
3 years ago
Please show your work, I'd really appreciate the help! :)
xenn [34]
Y=12.5+1.25X , this is how youget the fair admission amount 43.75-(25x1.25)=12.5
3 0
3 years ago
What is the value of x to the nearest tenth?
konstantin123 [22]

Answer:

I'm not 100% sure on this but I think it would be C- 8.1

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
The sum of two numbers is 53 and the difference is 27. What are the numbers?
ikadub [295]

Answer:

The numbers are 39 and 14.

Step-by-step explanation:

Equation 1, sum of the numbers:

 

x  +  y   =  53

 

Equation 2, difference of the numbers:

 

x  -  y  = 25

 

System of equations:

 

x  +  y  =  53

x  -  y   =  25

----------------

2x = 78

 

x = 39

 

Solve for y:

 

39  +  y  = 53

 

y  =  14

 

The numbers are 39 and 14.

8 0
2 years ago
Simplify g^1/2 * g^1/2 using the radical form.
guapka [62]

Answer:

√g *√g = g

Step-by-step explanation:

recall that any number or variable to the power of 1/2 can also be written as that variable or number under the radical.

So, we then have

√g * √g

Recall that when we multiply radicals, we multiply what is under our radicals together and then combine them under a new radical

√g * √g = √(g * g)

This gives us √(g²)

recall that the square root of a number or variable squared will merely result in the number or variable by itself (as these are reciprocate equations)

√(g²) = g

8 0
3 years ago
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