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2 years ago

If 2 > -a, then _____. a > 2 a > -2 a < 2 a < -2

Mathematics

1 answer:

photoshop1234 [79]2 years ago

8 0

Answer:

a > -2

Step-by-step explanation:

whenever we multiply, divide with "-" sign the inequality reverse its order

You might be interested in

Which expression is equivalent to 36^-1/2

inn [45]

ANSWER

$( {36})^{ (- \frac{1}{2}) } = \frac{1}{6}$

EXPLANATION

The given expression is

${36}^{( - \frac{1}{2} )}$
This is having a negative index. We must first of all change to a positive index.

Recall that,

${a}^{ - m} = \frac{1}{ {a}^{m} }$

We apply this law of exponents to get,

${36}^{( - \frac{1}{2} )} = \frac{1}{ {36}^{( \frac{1}{2} )} }$

We cab rewrite the given expression to obtain;

${36}^{( - \frac{1}{2} )} = \frac{1}{ \sqrt{36} }$

This will simplify to give us,

${36}^{( - \frac{1}{2} )} = \frac{1}{ 6 }$

6 0

3 years ago

Read 2 more answers

Is this correct help plzz

const2013 [10]

None of the offered choices is correct.

The radical cannot be simplified. If rewritten, it must be written as something like
$x \sqrt[3]{ \frac{6}{x}}$
or
$\frac{6x}{ \sqrt[3]{36x}}$

3 0

3 years ago

a parabola has an x-intercept at 2, its axis of symmetry is the line x=4, and the y-coordinate of its vertex is 6. Determine the

nlexa [21]

Answer:

The standard equation of the parabola is:

$y=-\frac{3}{2}x^2+12x-18$

Step-by-step explanation:

An x intercept of 2 means that the point (2, 0) is in the graph of the parabola.

We can also write the general expression for the parabola in vertex form, since we can use the information on the coordinates of the vertex: (4, 6) - recall that the axis of symmetry of the parabola goes through the parabola's vertex, so the x-value of the vertex must be x=4.

$y-y_{vertex}=a\,(x-x_{vertex})^2\\y-6=a\,(x-4)^2$

Now we can find the value of the parameter "a" by using the extra information about the point (2, 0) at which the parabola intercepts the x-axis:

$y-6=a\,(x-4)^2\\0-6=a\,(2-4)^2\\-6=a\,4\\a=-\frac{6}{4} =-\frac{3}{2}$

Then the equation of the parabola becomes:

$y-6=-\frac{3}{2} \,(x-4)^2\\y-6=-\frac{3}{2} (x^2-8x+16)\\y-6=-\frac{3}{2}x^2+12x-24\\y=-\frac{3}{2}x^2+12x-18$

7 0

3 years ago

This is timed, much help is appreciated:)

Strike441 [17]

The value of the angle m∠4 is 105 degrees.

<h3>How to find angles in a quadrilateral?</h3>

The sum of angles in a quadrilateral is 360 degrees.

Therefore,

m∠1 + m∠2 + m∠3 + m∠4 = 360°

Hence,

x + x + 10 + x + 20 + x + 30 = 360

4x + 60 = 360

4x = 360 - 60

4x = 300

x = 360 / 4

x = 75

Therefore,

m∠4 = 75 + 30 = 105°

learn more on quadrilaterals here: brainly.com/question/17178852

#SPJ1

4 0

2 years ago

Use the like bases property to solve the equation:<br> 16^x = 1/4<br> x=

gavmur [86]

Answer:-1/2

Step-by-step explanation:

16^x=1/4

(4^2)^x=4^(-1)

4^2x=4^(-1)

Base cancelled each other since they are the same

2x=-1

Divide both sides by 2

2x/2=-1/2

x=-1/2

7 0

2 years ago