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andrew11 [14]
3 years ago
9

(Easy 30 points) Solve the equation to find a positive value of c: 3^2 + 4^ = c^2

Mathematics
1 answer:
shusha [124]3 years ago
8 0

Answer:

C= 5, -5

Step-by-step explanation:


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Determine the correct set up for solving the equation using the<br> quadratic formula 4x^2-5=3x+4
slava [35]

You need to subtract everything to the left side and set it equal to zero. Combine like terms.

Then, the coefficient of x^2 is a, the coefficient of x is b, and the constant term is c.

4x^2 - 5 = 3x + 4

4x^2 - 3x - 5 - 4 = 0

4x^2 - 3x - 9 = 0

a = 4; b = -3; c = -9

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

x = \dfrac{-(-3) \pm \sqrt{(-3)^2 - 4(4)(-9)}}{2(4)}

7 0
3 years ago
Solve the rational equation: 7 - 2/x = 4 + 10/x
vlabodo [156]

Answer:

7 - 2 / x = 4 + 10 / x

or , 7 - 4 = 10 / x + 2 / x

or , 3 = 12 / x

or , x = 12 / 3

Therefore , x = 4

7 0
3 years ago
Read 2 more answers
If you place a 20 ft ladder 4ft from the base of the wall. How high up will it reach? Round answer to the nearest tenth
xeze [42]

Answer:

h = 19.6 ft

Step-by-step explanation:

Given that,

A 20 ft ladder 4ft from the base of the wall.

The height of the ladder, H = 20 ft

The base distance, b = 4 ft

We need to find the height of the reach. Let it is P.

Using Pythagoras theorem,

H^2=b^2+P^2\\\\P=\sqrt{H^2-b^2}\\\\P=\sqrt{20^2-4^2}\\\\=19.59\ ft

or

P = 19.6 ft

So, the height is 19.6 ft.

7 0
3 years ago
The side length of an equilateral triangle is 6 cm. What is the height of the triangle? StartFraction 3 Over StartRoot 3 EndRoot
iren2701 [21]

Answer:

C: 3 root 3

Step-by-step explanation:

got it right on edge

8 0
3 years ago
Is the binomial a factor of the polynomial function?
olchik [2.2K]

Answer:

YES

NO

NO

Step-by-step explanation:

The given polynomial is: $ f(x) =  x^3 + 4x^2 - 25x - 100 $

(x - a) is a factor of a polynomial iff x = a is a solution to the polynomial.

To check if (x - 5) is a factor of the polynomial f(x), we substitute x = 5 and check if it satisfies the equation.

∴ f(5) = 5³ + 4(5)² - 25(5) - 100

        = 125 + 100 - 125 - 100

        = 225 - 225

        = 0

We see, x = 5 satisfies f(x). So, (x - 5) is a factor to the polynomial.

Now, to check (x + 2) is a factor.

i.e., to check x = - 2 satisfies f(x) or not.

f(-2) = (-2)³ + 4(-2)² - 25(-2) - 100

      = -8 + 16 + 50 - 100

     = -108 + 66

     ≠ 0

Therefore, (x  + 2) is not a factor of f(x).

To check (x - 4) is a factor.

∴ f(4) = 4³ + 4(4)² - 25(4) - 100

        = 64 + 64 - 100 - 100

        = 128 - 200

        ≠ 0

Therefore, (x - 4) is not a factor of f(x).

7 0
3 years ago
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