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zysi [14]
3 years ago
15

Do anyone know what these mean...

Mathematics
1 answer:
a_sh-v [17]3 years ago
8 0

Answer:

choose ypur answer even

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Which are the solutions of the quadratic equation?
Artemon [7]

Answer:

x_1=\frac{7+\sqrt{65}} {2}

x_2=\frac{7-\sqrt{65}} {2}

Step-by-step explanation:

we know that

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}

in this problem we have

x^{2}=7x+4  

equate to zero

x^{2}-7x-4=0  

so

a=1\\b=-7\\c=-4

substitute in the formula

x=\frac{-(-7)\pm\sqrt{-7^{2}-4(1)(-4)}} {2(1)}

x=\frac{7\pm\sqrt{65}} {2}

therefore

x_1=\frac{7+\sqrt{65}} {2}

x_2=\frac{7-\sqrt{65}} {2}

StartFraction 7 minus StartRoot 65 EndRoot Over 2 EndFraction comma StartFraction 7 + StartRoot 65 EndRoot Over 2 EndFraction

3 0
4 years ago
Read 2 more answers
The ratio x : x + 1 is equal to 1 : 2. Find the value of x .
NISA [10]

Answer:

x = 1

Step-by-step explanation:

   x         1

-------- = ----

 x + 1      2

Begin the solution by multiplying both sides by the LCD, which is 2(x + 1):

 2x = 2(x + 1)/2, or

2x = x + 1, or

x = 1

                    1

Check:  is -------- = 1/2?  

                  1 + 1

YES

5 0
3 years ago
3(x + 1)² = 12<br> Solve for x.
vichka [17]

Answer:

x=1, -3

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
State the trigonometric substitution you would use to find the indefinite integral. Do not integrate. (25 + x2)−6 dx x(θ) =
Thepotemich [5.8K]

Answer:

x(θ) = 5 tan θ

Step-by-step explanation:

Given that:

\int (25+x^2)^{-6} \ dx

we are to state the trigonometric substitution to be used to find the indefinite integral.

Suppose u is the variable and a is the constant

u = x

a = 5

So; (a² + x²)ⁿ

which is a trigonometric substitution for x = a tanθ

Then,

x(θ) = 5 tan θ

6 0
4 years ago
An ant looks up to the top of a tree with an angle of elevation of 38 degrees. If the ant is 43 feet from the base of the tree,
Ahat [919]
Looking at the picture below (where the blue line is the height and the red line is equal to 43), we see that we can use the trigonometric ratio tan.

tan38=x/43
which simplifies to
43*tan38=x
which gets us that x=33.6 (approximately)

:)

7 0
3 years ago
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