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ch4aika [34]
3 years ago
10

2x² + 4x + 4 + x² + 1 = 180

Mathematics
1 answer:
Tasya [4]3 years ago
5 0

Step-by-step explanation:

2 {x}^{2}  + 4x + 4 +  {x}^{2}  + 1 = 180

3 {x}^{2}  + 4x + 5 = 180

{3x}^{2}  + 25x - 21x - 175 = 0

x \times (3x + 25) - 7(3x + 25) = 0

(3x + 25) \times (x - 7) = 0

3x + 25 = 0 = x - 7 = 0

x =  -  \frac{25}{3}  = x = 7

= x_{1} =  -  \frac{25}{3} . \:  \:  x_{2} = 7

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3 years ago
Solve Expression <br><br> 12(3+5x)+1/4(16x-8)
Lynna [10]

Answer:

56x + 34

Step-by-step explanation:

12(3 + 5x) + 1/4(16x - 8)

First, use the distributive property. You will get:

(12)(3) + (12)(5x) + (1/4)(16x) - (1/4)(8)

Next, multiply the numbers. You will then have:

36 + 60x + 4x - 2

Now, rearrange the numbers. The variables go in the front. This is what it should look like:

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56x + 34

4 0
3 years ago
anthony bought an 8 foot board.He cut off 3/4 of the board to build a shelf,and gave 1/3 of the rest to his brother for an art p
e-lub [12.9K]
Convert your feet to inches.
So 8 times by 12 = 96 inches
if you have 3/4 of the board used. 
3/4= .75 
if you were to times 96 by .75 = 72 inches.
So you used 72 inches and you have 24 inches left

now do 1/3= .33
times .33 by 24= 8
8 inches is how long you would give to Anthony's brother.
7 0
3 years ago
Read 2 more answers
A. Solve the differential equation <img src="https://tex.z-dn.net/?f=y%27%3D2x%20%5Csqrt%7B1-y%5E2%7D%20" id="TexFormula1" title
kirill [66]
y' = \frac{dy}{dx}

seperable differential equations will have the form
\frac{dy}{dx} = F(x) G(y)

what you do from here is isolate all the y terms on one side and all the X terms on the other
\frac{dy}{G(y)} = F(x) dx
just divided G(y) to both sides and multiply dx to both sides

then integrate both sides
\int \frac{1}{G(y)} dy = \int F(x) dx&#10;&#10;

once you integrate, you will have a constant. use the initial value condition to solve for the constant, then try to isolate x or y if the question asks for it


In your problem,
G(y) = \sqrt{1-y^2}&#10;&#10;F(x) = 2x

so all you need to integrate is
\int \frac{1}{\sqrt{1-y^2}} dy = \int 2x dx
5 0
3 years ago
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