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3 years ago

I don't understand how to do this. Can anyone help. Preferably with steps. Thank you in advance!

Mathematics

1 answer:

Andrew [12]3 years ago

3 0

You put the x=6
6³-4(6)²-12(6)+15=15

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How does the length of the hypotenuse in a right triangle compare to the lengths of the legs?

gavmur [86]

we know that

In a right triangle we have

two legs and one hypotenuse

Let

a,b -----> the legs of the right triangle

c-----> the hypotenuse of the right triangle (the greater side)

Applying the Pythagoras Theorem

$c^{2}=a^{2}+b^{2}$

therefore

the answer is

The length of the hypotenuse squared is the length of one leg squared plus the length of another leg squared

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3 years ago

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How to get everything to one side of the inequality for 3+4/x>=(x+2)/x

Ksenya-84 [330]

Answer:

$2x+2\geq 0$

Step-by-step explanation:

Given:

The given inequality is.

$3+\frac{4}{x} \geq \frac{x+2}{x}$

Solution:

Simplify the given expression.

$3+\frac{4}{x} \geq \frac{x+2}{x}$

Multiply by x both side of the equation.

$x(3+\frac{4}{x}) \geq x(\frac{x+2}{x})$

Simplify.

$3x+\frac{4x}{x} \geq x(\frac{x+2}{x})$

$3x+4\geq x+2$

Rewrite the equation as.

$3x+4-x-2\geq 0$

$2x+2\geq 0$

Therefore, $2x+2\geq 0$ is the simplest form of the given expression.

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3 years ago

These two scalene triangles are similar with a scale of 4:5. What is true about these figures?

disa [49]

Alright, lets get started.

Lets check each possible answer one by one.

We will start from option B.

BC is from small triangle and its corresponding side is DF, so its ratio will be $\frac{4}{5}$ not $\frac{5}{4}$ as given in option. Hence option B is incorrect.

For option C,

Angle a° and angle f° are not similar angles, if they were similar, then only their ratio will be 1 otherwise not 1. Hence option C is incorrect.

For option D,

Angle c° and angle f° are similar angles so, their ratio will be $\frac{c}{f} = 1$ . Hence option D is incorrect.

Now option A,

ED and AB are corresponding sides. ED is from bigger triangle and AB is from smaller triangle. Their ratio will be $\frac{ED}{AB} = \frac{5}{4}$ . Hence option A is correct answer.