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Verizon [17]
3 years ago
7

Write an equation of the line that is perpendicular to 3x + 9y = 7 and passes through the point (6, 4)

Mathematics
2 answers:
andrezito [222]3 years ago
8 0
The perpendicular line will have the x and y coefficients swapped and one of them negated. We can write the desired line as
  9(x -6) -3(y -4) = 0
where the coordinates of the point of interest are (6, 4).
Dividing by 3, this is
  3(x -6) -(y -4) = 0
  3x -y = 14

An equation for the line of interest is ...
  3x -y = 14

riadik2000 [5.3K]3 years ago
4 0

Answer:

y=3x-14

Step-by-step explanation:

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Answer.. below: . . .
Scorpion4ik [409]

Answer:

3/12 + 239/12 = 20.16...

2309/23 + 32/32= 101.39

34/234 + 349/234=1.64

23/23-11/23= 0.52

57/78-32/78 = 0.32

Step-by-step explanation:

Just divide both sides first and then add, so it is easier to get your answer.

My answers are all rounded or repeated.

I hope this helps!

-No one

7 0
2 years ago
Read 2 more answers
Write an equation for a parabola that has a vertex (1, 2) and passes through the point (3, -6).
Alex

Answer:

y= -2x²+4x.

Step-by-step explanation:

the common equation of the parabola is y=ax²+bx+c, where a, b, c - numbers.

1) the coordinates of the vertex are:

x_0=-\frac{b}{2a} \ and \ y_0=\frac{4ac-b^2}{4a}.

2) if according to the condition x₀=1, then b= -2a.

If according to the condition y₀=2, then   2=\frac{4ac-b^2}{4a}=\frac{4ac-4a^2}{4a}=c-a;

it means that c=a+2.

3) if b= -2a; c=a+2 and the point (3;-6) belongs to the given parabola, then it is possible to substitute them into the common equation of the parabola:

-6=3²*a-6a+a+2; ⇔ a= -2.

4) if a= -2, then b=-2a=4, and c=a+2=0.

5) if a=-2, b=4 and c=0, then the required equation of the parabola is:

y= -2x²+4x.

6 0
2 years ago
Ravi has ridden 44 miles of a bike course. The course is 55 miles long. What percentage of the course has Ravi ridden so far?
vitfil [10]

Answer:

80%

Step-by-step explanation:

To find the percent that he has ridden, divide the number of miles he has ridden by the total length of the course

44/55

= 0.8

So, Ravi has ridden 80% of the course

5 0
2 years ago
Read 2 more answers
Planners of an experiment are evaluating the design of a sphere of radius r that is to be filled with helium (0°c, 1 atm pressur
Vikentia [17]
The solution is:A mole of gas occupies 22.4 L A liter is 1000 cubic centimeters because 1 cubic centimeter = 1 mL
One Helium molecule (essentially one helium atom) has atomic mass 4 g/mol So for every 22400 cubic centimeters of volume, we have 4 grams of helium Density of helium = 4g / 22400 cm^3 = 1g / 5600 cm^3 
Volume of a sphere = (4/3)(pi)r^3 Volume of the outside sphere (the entire sphere) is (4/3)(pi)(R+T)^3 Volume of the inside sphere (the hollow region) is (4/3)(pi)R^3 
The difference for the volume of silver. (4/3)(pi)(R+T)^3 - (4/3)(pi)R^3 = (4/3)(pi)(3R^2T + 3RT^2 + T^3) 
The density of silver is 10.5g/cm^3 
So the mass of the silver is computed by:10.5*(4/3)(pi)(3R^2T + 3RT^2 + T^3) = (14*pi)(3R^2T + 3RT^2 + T^3) = (14pi)T(3R^2 + 3RT + T^2) 

Now for the mass of helium: volume x density = (4/3)(pi)R^3 (1/5600) = (pi/4200)R^3 

Set the two masses equal: (pi/4200)R^3 = (14pi)T(3R^2 + 3RT + T^2) R^3 = 58800*T(3R^2 + 3RT + T^2) R / T = 58800*(3R^2 + 3RT + T^2) / R^2 = 58800*( 3+T/R^2+(T/R)^2) 
then solve for xx = T / R 1/x = 58800*( 3+x/R+x^2) 1/58800 = x (3 + x/R + x^2) 1/58800 = 3x + x^3 x^3 + 3x - 1/58800= 0 x = ~ 5.66893x10^(-6)
6 0
3 years ago
Pls help it is due today
Arlecino [84]

Answer:

576

Step-by-step explanation:

4 feet^2 = 2 feet*2 feet = 24 inch * 24 inch. 24*24 = 576.

8 0
3 years ago
Read 2 more answers
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