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3 years ago

Which lists all the integer solutions of the equation |x| = 4?

Mathematics

2 answers:

Harlamova29_29 [7]3 years ago

6 0

Umm well Idk if im right but to me i think it is D

Natasha2012 [34]3 years ago

5 0

A because the absolute value is how many spaces the number is away from 0. So it could either be 4 or -4, because both of these are 4 spaces away from zero.

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Suppose a rectangle will undergo a rotation about the origin of a coordinate plane and a translation of 6 units down. Which of t

nikdorinn [45]

Answer: The resulting rectangle will be congruent to the original rectangle regardless of the order of the rotation and the translation.

Step-by-step explanation: Since a dilation is not performed, the shape and size stay the same no matter how it is moved throughout the coordinate plane.

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3 years ago

An isosceles triangle △ABC with the base BC is inscribed in a circle. Find the measures of angles of the triangle, if measure of

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Answer:

angle at A: 51°
base angles: 64.5°

Step-by-step explanation:

The measure of the inscribed angle BAC is half the measure of the intercepted arc BC, so is 102°/2 = 51°.

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3 years ago

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mel-nik [20]

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3 years ago

Find an equation of the line with the given slope that passes through the given point. Write the equation in the form Ax+ By= C.

il63 [147K]

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3 years ago

Use the properties of logarithms to expand the following expression as much as possible. Simplify any numerical expressions that

sweet [91]

Answer:

$f(x,y) = \log_{4} (x-5-\sqrt{25-6\cdot y})+\log_{4} (x-5+\sqrt{25-6\cdot y})$

Step-by-step explanation:

Let be $f(x,y) = \log_{4}(2\cdot x^{2}-20\cdot x +12\cdot y)$ , this expression is simplified by algebraic and trascendental means. As first step, the second order polynomial is simplified. Its roots are determined by the Quadratic Formula, that is to say:

$r_{1,2} = \frac{20\pm \sqrt{(-20)^{2}-4\cdot (2)\cdot (12\cdot y)}}{2\cdot (2)}$

$r_{1,2} = 5\pm \sqrt{25-6\cdot y}$

The polynomial in factorized form is:

$(x-5-\sqrt{25-6\cdot y})\cdot (x-5+\sqrt{25-6\cdot y})$

The function can be rewritten and simplified as follows:

$f(x,y) = \log_{4} [(x-5-\sqrt{25-6\cdot y})\cdot (x-5+\sqrt{25-6\cdot y})]$

$f(x,y) = \log_{4} (x-5-\sqrt{25-6\cdot y})+\log_{4} (x-5+\sqrt{25-6\cdot y})$

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3 years ago