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2 years ago

Divide 169 mi in the ratio 5 : 8.

Mathematics

1 answer:

krek1111 [17]2 years ago

3 0

The answer is 169/5:8 = 5. It helps me alot it could help you to.

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Sec^2 (pi/2 - x) * [sin^2 (x) - sin^4 (x)]

Bad White [126]

Answer:

Explanation:

Identity: sec2θ=1+tan2θ

sec2(π2−x)−1=1+tan2(π2−x)−1

=tan2(π2−x)

Identity: tan(π2−θ)=cotθ

=cot2x

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2 years ago

5-7:

garri49 [273]

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3 years ago

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Please complete part A.+ B. And show all work. Thank you for your help.

Leno4ka [110]

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2 years ago

3x^2+kx=-3 What is the value of K will result in exactly one solution to the equation?

Scorpion4ik [409]

Answer:

For k = 6 or k = -6, the equation will have exactly one solution.

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:

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

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

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

If $\bigtriangleup = 0$ , the equation has only one solution.

In this problem, we have that:

$3x^{2} + kx + 3 = 0$

$a = 3, b = k, c = 3$

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

$\bigtriangleup = k^{2} - 4*3*3$

$\bigtriangleup = k^{2} - 36$

We will only have one solution if $\bigtriangleup = 0$ . So

$\bigtriangleup = 0$

$k^{2} - 36 = 0$

$k^{2} = 36$

$k = \pm \sqrt{36}$

$k = \pm 6$

For k = 6 or k = -6, the equation will have exactly one solution.

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2 years ago

A quadrilateral has all sides and angles congruent, what name best describes the figure?

White raven [17]

The answer is a rectangle or a square.

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3 years ago

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