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bekas [8.4K]
2 years ago
6

If p= (-2,7) find: Rx-axis(P)​

Mathematics
1 answer:
Nana76 [90]2 years ago
6 0

Answer:

P(-2,7)

P'(-2,-7), ANSWER

reflection across the x-axis rule:

(×,y) ===> (x,-y)

Easy way to do this is draw the point on graph paper and count the same units above/below the x-axis. This example you are 7 units above the x-axis so you would count 7 units below the x-axis giving you the point.

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For which values of a the system has no solution: x≤5, x≥a
soldi70 [24.7K]

Given:

The system of inequalities is

x\leq 5

x\geq a

To find:

The values of a for which the system has no solution.

Solution:

We have,

x\leq 5        ...(1)

It means the value of x is less than or equal to 5.

x\geq a        ...(2)

It means the value of x is greater than or equal to a

Using (1) and (2), we get

a\leq x\leq 5

But if a is great than 5, then there is no value of which satisfies this inequality.

Therefore, the system has no solution for a>5.

7 0
2 years ago
In the derivation of the quadratic formula by completing the square, the equation (x+b over 2a)^2=-4ac+b^2 over 4a^2 is created
vredina [299]

Answer:

The result of applying the square root property of equality to this equation is x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}.

Step-by-step explanation:

Consider the provided equation.

\left(x+\dfrac{b}{2a}\right)^2=\dfrac{-4ac+b^2}{4a^2}

As the above equation is formed by perfect square trinomial so simply applying the square root property as shown:

\sqrt{(x+\dfrac{b}{2a})^2}=\pm \dfrac{\sqrt{-4ac+b^2}}{\sqrt{4a^2}}\\x+\dfrac{b}{2a}=\pm \dfrac{\sqrt{b^2-4ac}}{2a}

Isolate the variable x.

x=-\dfrac{b}{2a}\pm \dfrac{\sqrt{b^2-4ac}}{2a}\\x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}

Hence, the result of applying the square root property of equality to this equation is x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}.

4 0
1 year ago
Read 2 more answers
How do you write 4540 million in standard form?
vovangra [49]
For this case what we should do is take into account the following conversion:
 million = 10 ^ 6

 We then have the following number:
 4540 million

 Applying the given conversion we have:
 4540 * 10 ^ 6

 By doing the corresponding calculation we have that the standard form is given by:
 4540 * 10 ^ 6 = 4,540,000,000

 Answer:
 
4540 million in standard form is:
 
4,540,000,000
8 0
1 year ago
Read 2 more answers
Which number is greater than (>) 6.841?
icang [17]
6.842 or higher. When you line up the decimals, you see 6.842 has a 2 and 6.841 has a 1. 2 is greater than 1, more greater numbers are 6.843, 6.844, 6.845, etc.
6 0
2 years ago
What is the average rate of change in f(x) over the interval [4,13]?
Andrew [12]
I took a picture of the answer for you.

8 0
1 year ago
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