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2 years ago

5

Please help me finish this problem of pythagorean theorem model.

1 answer:

Bingel [31]2 years ago

4 0

Answer:A= 13^2= 169

Step-by-step explanation:

Use the pythagorean theorem

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jekas [21]

Answer:

$\frac{27}{1024}$

Step-by-step explanation:

So the chance of getting yellow is 0.25

Getting it once is 0.25

Getting it twice is 0.25 • 0.25

Not getting it is 0.75

So we have 0.25 • 0.25 • 0.75 • 0.75 • 0.75 = $\frac{27}{1024}$

8 0

2 years ago

For what value of k is there one solution to the given quadratic equation (k+1)x²+4kx+2=0.

andriy [413]

Answer:

If $k = 1$ or $k = -\frac{1}{2}$ , there is only one solution to the given quadratic equation.

Step-by-step explanation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = (x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

The signal of $\bigtriangleup$ determines how many real roots an equation has:

$\bigtriangleup > 0$ : Two real and different solutions

$\bigtriangleup = 0$ : One real solution

$\bigtriangleup < 0$ : No real solutions

In this problem, we have the following second order polynomial:

$(k+1)x^{2} + 4kx + 2 = 0$ .

This means that $a = k+1; b = 4k; c = 2$

It has one solution if

$\bigtriangleup = 0$

$b^{2} - 4ac = 0$

$16k^{2} -8(k+1) = 0$

$16k^{2} - 8k - 8 = 0$

We can simplify by 8

$2k^{2} - k - 1 = 0$

The solution is:

$k = 1$ or $k = -\frac{1}{2}$

So, if $k = 1$ or $k = -\frac{1}{2}$ , there is only one solution to the given quadratic equation.

4 0

3 years ago

Factorise the following equation: <img src="https://tex.z-dn.net/?f=6x%5E2%2B17x%2B5" id="TexFormula1" title="6x^2+17x+5" alt="6

RSB [31]

Answer:

(3x+1)(2x+5) is the answer

8 0

3 years ago

Write 7/12 as a decimal.

professor190 [17]

7/12 as a decimal is 0.583333333
or 0.59

Hope this helps ;)

5 0

2 years ago

Read 2 more answers

How many moves are greater than 90 minutes in length?

Olegator [25]

Answer:

x ≤ 90?

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers