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Lerok [7]
3 years ago
10

What value of b with cause the system to have an infinite number of solutions?

Mathematics
1 answer:
Rom4ik [11]3 years ago
5 0

Step-by-step explanation:

-3x+3x-(b÷2)=-3

0-(b÷2)=-3

-(b÷2)=-3

b=-2×-3=+6

=> b=6

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The planets move around the sun in elliptical orbits with the sun at one focus. The point in the orbit at which the planet is cl
gladu [14]

Consider the attached ellipse. Let the sun be at the right focus. Then perihelion is at right vertex on the x-axis and aphelion is at the left vertex on the x-axis.

The distances:

  • from perihelion to the sun in terms of ellipse is a-c;
  • from aphelion to the sun in terms of ellipse is a+c.

Then

\left\{\begin{array}{l}a-c=741,000,000\\a+c=817,000,000\end{array}\right.

Add these two equations:

2a=1,558,000,000 \\ \\a=779,000,000

and subtract first equation from the second:

2c=76,000,000 \\ \\c=38,000,000.

Note that b=\sqrt{a^2-c^2}, thus

b=\sqrt{779,000,000^2-38,000,000^2}=\sqrt{605,397,000,000,000,000}.

The equation for the planet's orbit is

\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1\Rightarrow \dfrac{x^2}{606,841,000,000,000,000}+\dfrac{y^2}{605,397,000,000,000,000}=1.

7 0
3 years ago
A property map is drawn at a scale of 1:1000. Calculate the corresponding actual distance if the distance between two points on
zvonat [6]

Answer:10 m

Step-by-step explanation:

Given

Scaling ratio 1:1000

i.e. one unit in map is equal to 1000 unit in actual distance

therefore if the distance between two points is 1 cm in map then

it is 1000 cm in reality    

8 0
3 years ago
If one-sixth of a number plus one-third returns two-thirds of that number What is the number
Solnce55 [7]

Answer:

x= \frac{2}{3}

Step-by-step explanation:

Let the number be x

Given

\frac{1}{6}x + \frac{1}{3} = \frac{2}{3}x

Required

Find x

\frac{1}{6}x + \frac{1}{3} = \frac{2}{3}x

Collect Like Terms

\frac{1}{6}x -  \frac{2}{3}x = - \frac{1}{3}

Take LCM

\frac{1 - 4}{6}x = \frac{-1}{3}

\frac{- 3}{6}x = \frac{-1}{3}

Multiply both sides by 6

6 * \frac{- 3}{6}x = \frac{-1}{3} * 6

-3x= -2

Divide both sides by -3

\frac{-3x}{-3}= \frac{-2}{-3}

x= \frac{2}{3}

Hence, the number is \frac{2}{3}

7 0
3 years ago
Can anyone help me with dis
dolphi86 [110]

Answer:

Slope is 2.

Step-by-step explanation:

So to find slope, we need to take the change in the y value, and the change in the x value, and then divide them. This may be confusing, so here is just 3 formulas in 3 seperate steps that we use to find it:

Step 1 - x_2-x_1=change_.in_.x

Step 2 - y_2-y_1=Change_.in_.y

Step 3 - \frac{Change_. in_. y}{Change_.in_.x}=slope

So lets start by doing step one.

All we need is to look for two x values. Lets use 5 and 6:

6-5=1

So 1 is our change of x. This is our 1st step.

Next we can use 2 y values, note that these should be the 2 y values that go wiht the x values above. So this means we have to use -3 and -1:

-1-(-3) = 2

So 2 is our change in y. This is our 2nd step.

Now lets plug this into:

\frac{Change_. in_. y}{Change_.in_.x}=slope:

\frac{2}{1}  = 2

So our slope is 2. Completing our 3rd and final step.

Hope this helps!

7 0
3 years ago
IN MATH WHAT IS 86 DIVIDE BY 6 WHAT THE REMAINDER
Valentin [98]
14 and the remainder is 3
5 0
3 years ago
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