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2 years ago

A = h(a+b) / 2 = , solve for h

Mathematics

1 answer:

Tema [17]2 years ago

8 0

Answer:

Step-by-step explanation:

Explanation:

First, multiply each side of the equation by

to eliminate the fraction while keeping the equation balanced:

(

)

(

)

(

)

Now, divide each side of the equation by

to solve for

while keeping the equation balanced:

(

)

(

)

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Find a quadratic polynomial with integer coefficients which has x = 2/9, ± SQRT23/9 as its real zeros.

melomori [17]

Answer:

The quadratic polynomial with integer coefficients is $y = 81\cdot x^{2}-36\cdot x -19$ .

Step-by-step explanation:

Statement is incorrectly written. Correct form is described below:

Find a quadratic polynomial with integer coefficients which has the following real zeros: $x = \frac{2}{9}\pm \frac{\sqrt{23}}{9}$ .

Let be $r_{1} = \frac{2}{9}+\frac{\sqrt{23}}{9}$ and $r_{2} = \frac{2}{9}-\frac{\sqrt{23}}{9}$ roots of the quadratic function. By Algebra we know that:

$y = (x-r_{1})\cdot (x-r_{2}) = x^{2}-(r_{1}+r_{2})\cdot x +r_{1}\cdot r_{2}$ (1)

Then, the quadratic polynomial is:

$y = x^{2}-\frac{4}{9}\cdot x -\frac{19}{81}$

$y = 81\cdot x^{2}-36\cdot x -19$

The quadratic polynomial with integer coefficients is $y = 81\cdot x^{2}-36\cdot x -19$ .

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2 years ago

Which of the following demonstrates using the

shusha [124]

I think the answer might be A and D

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2 years ago

Which graph shows a function whose inverse is also a function?

Andru [333]

Answer: the last one

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2 years ago

The excluded values of a rational expression are 2 and 5. Which of the following could be this expression?

muminat

You have not added the options, therefore, I cannot provide an exact answer. However, I can help you with the concept.

In any fraction, the denominator cannot be equal to zero because this would make the fraction undefined.
Excluded values are the values that would make the denominator equal to zero.

We are given that the excluded values are 2 and 5, this means that the factors of the denominator are (x-2) and (x-5)
This means that the denominator is x² - 7x + 10

Pick the fraction which has this denominator.

Hope this helps :)

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2 years ago

Read 2 more answers

Write the equation of the line passing through the point (-2, 2) that is

seraphim [82]

The answer is -x^2-5x-4

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2 years ago