All categories

4 years ago

Choose a value for point PP that is between −6 and −7.

Mathematics

1 answer:

Genrish500 [490]4 years ago

6 0

Answer:

The point PP that is between −6 and −7 could be -6.5

a) The opposite of point PP is 6.5

b) The value of (a) is plotted as a red point in the attached picture.

c) The opposite of the opposite of the point PP is 6.5. It is plotted as a blue point.

Step-by-step explanation:

By choosing the point PP as -6.5 which is between -6 and -7, the opposite number is at the same distance from zero. So point PP is 6.5 places to the left. Then the opposite of PP is 6.5 places to the right.

The plot shows this obtained number as a red point.

Then, opposite of 6.5 is -6.5.

In conclusion, the opposite of the opposite of point PP is the same point PP.

You might be interested in

f the centripetal and thus frictional force between the tires and the roadbed of a car moving in a circular path were reduced, w

LUCKY_DIMON [66]

The frictional force between the tires and the road prevent the car from skidding off the road due to centripetal force.

If the frictional force is less than the centripetal force, the car will skid when it navigates a circular path.

The diagram below shows that when the car travels at tangential velocity, v, on a circular path with radius, r, the centripetal acceleration of v²/ r acts toward the center of the circle.

The resultant centripetal force is (mv²)/r, which should be balanced by the frictional force of μmg, where μ = coefficient of kinetic friction., and mg is the normal reaction on a car with mass, m.

This principle is applied on racing tracks, where the road is inclined away from the circle to give the car an extra restoring force to overcome the centripetal force.

8 0

3 years ago

Use the Order of Operations to simplify: 12(4 - 2) + 6(2)

3241004551 [841]

Answer:

Simplified it would be: 36

8 0

3 years ago

For the function f x equals square root x ^ 3 - x, State the condition that must be satisfied for the FX to be Define. Then, sol

Svetradugi [14.3K]

Answer:

Domain: $[-1,0]\cup [1,\infty )$

Step-by-step explanation:

Since we know that a square root function is not defined for negative numbers. In order our function to be defined values inside radical must be greater than or equal to zero.

Our function will be defined when $x^{3} -x\geq 0$

$x(x^{2} -1)\geq 0$

$x(x-1)(x+1)\geq 0$

$1\geq x\leq 0$ or $x\geq1$

Now we will use number line method of solving inequalities to check whether our answer is right or not.

Let us try -2, -1/2, 1/2 and 2 to check which conditions meet our criteria.

$-2^{3} --2\geq 0\\-6\leq 0$

$(\frac{-1 }{2}) ^{3} -(\frac{-1}{2}) \geq0$

$\frac{-1}{8} +\frac{1}{2} \geq 0\\\frac{3}{8} \geq 0$

$(\frac{1 }{2}) ^{3} -\frac{1}{2} \geq0$

$\frac{1}{8} -\frac{4}{8} \leq 0$

$2^{3} -2\geq 0\\6\geq 0$

Therefore, we can see that our function is defined when $1\geq x\leq 0$ or $x\geq1$ and domain of f(x) is $[-1,0]\cup [1,\infty )$ .

4 0

3 years ago

Determine if w = -2 is a solution for the inequality <br> 3w ≤ -12

anastassius [24]

<h3>Answer: It is <u>not</u> a solution</h3>

======================================================

Explanation:

Plug in w = -2 and simplify.

3w ≤ -12

3(-2) ≤ -12

-6 ≤ -12

The last inequality is false because -6 is neither equal to -12, nor is -6 smaller than -12. Use a vertical number line to see that -6 is above -12, so it should be -12 ≤ -6.

Since -6 ≤ -12 is false, that makes 3w ≤ -12 false when w = -2.

Therefore, w = -2 is <u>not</u> a solution to the given inequality.

7 0

3 years ago

How are common denominator and a common multiple alike and different

zimovet [89]

A common denominator is when 2 fractions have the same denominator and a common multiple is when two multiples have at least 1 number alike. They are alike because they need to have a number in common and they are different because a common denominator has to do with fractions and a common multiple has to do with multiples.

7 0

3 years ago