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vladimir2022 [97]
4 years ago
8

Solve c =(a² + 3b)/4 for b.Bruv take all my points I literally blow at math :'(​

Mathematics
1 answer:
Sati [7]4 years ago
4 0

Answer:

b=\frac{4c-a^{2} }{3}

Step-by-step explanation:

First: multiply both sides by 4. 4 times c is 4c and the other sides cancels out as you are doing the inverse operation of division

Then, you have 4c=a^{2} +3b

Subtract both sides by a squared

DO NOT TAKE THE SQUARE ROOT! This is because it is a squared plus 3b so you have to do the inverse of addition

From that you get 4c-a^{2} =3b

Finally, divide both sides by 3.

You get  b=\frac{4c-a^{2} }{3}

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Please help me with both of these questions I’m supper stuck
Vitek1552 [10]

Answer:

ONE SOLUTION

Step-by-step explanation:

When two points on a line are given, the equation of the line is given by the formula:

             $ \frac{y - y_1}{y_2 - y_1} = \frac{x - x_1}{x_2 - x_1} $

where $ (x_1, y_1) $ and $ (x_2, y_2) $ are the points on the line.

Here, the first set of points are: $ (-1, 3) $ and $ (0, 1) $.

Therefore, $ (x_1, y_1) = (-1, 3) $ and $ (x_2,y_2) = (0, 1) $.

The line passing through this is given by:

$ \frac{y - 3}{1 - 3} = \frac{x + 1}{1} $

$ \implies y - 3 = -2x - 2 $

∴ 2x + y - 1 =0

Now, for the second line, the points are:

$ (x_1, y_1) = (1, 4) $ and $ (x_2, y_2) = (0, 2) $.

Therefore, $ \frac{y - 4}{-2} = \frac{x - 1}{-1} $

$ \implies -y + 4 = -2x + 2 $

∴ 2x - y + 2 = 0

Now, to determine the number of solutions the two equations have, we solve these two equations,

Adding Eqn(1) and Eqn(2) we get:

4x = -1

$ \implies x = \frac{-1}{4} $

And $ y = \frac{3}{2} $.

Since, we arrive at unique values of 'x' and 'y', we say the lines have only one unique solution.

5 0
4 years ago
A group of student organized a car wash to raise money for a local charity.the student charged $5 for each car they washed. In 3
Alex Ar [27]
$5 each car 3 hours = 12 cars ÷3 ÷3 1 hours = 4 cars ×8 ×8 8 hours = 32 cars 32 cars × $5 per car = $160 They earned $160 in 8 hours, from washing 32 cars.
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3 years ago
Susan open an account with $100. She deposits $100.00 every year to an account that earns simple interests at a rate of 5%. If s
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Answer:

$20

Step-by-step explanation:

multiply 100.00 x 5% which is 100x 0.05, then it will give you 5.

add 5, 4 more times which will give you 20

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3 years ago
What are the two square roots of 400
Elden [556K]
The two square roots are 20 and -20
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Geoffrey thinks that the sum of 5x2y3+6x+7y and 8y+4x3y2+2xis 9x2y3+8x+15y. Explain Geoffrey's error, and find the correct sum.
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He subtracted instead of added

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