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xz_007 [3.2K]
3 years ago
12

If the point (-2, 5) is reflected across the y-axis, its image will be at (-2, -5).

Mathematics
1 answer:
77julia77 [94]3 years ago
8 0
This Statement Is False. 

When You Reflect Off Of The Y Axis, It Is The X That Changes To It's Opposite Side.

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Turn the sentence into an expression please
sveticcg [70]

Answer:

(x+20) + (x-9)

Step-by-step explanation:

3 0
3 years ago
Select all the statements that are true for any value of x​
Goryan [66]

Answer:

A, C, E, F

Explanation:

equal on both sides

6 0
2 years ago
the square of a certain whole number n is n^2. if 60 is a factor of n^2, it's possible that ? is not a factor of n^2. a)16 b)25
DanielleElmas [232]
If 60 is a factor of n², then √60 is a factor of n. However, n is a whole number, so its factors are whole numbers.

Simplify √60:
\sqrt{60}=\sqrt{4 \times 15}=2\sqrt{15}

If 2√15 is a factor of a whole number n, then √15 must be another factor to make it a whole number.

2\sqrt{15} \times \sqrt{15}=2 \times 15=2 \times 3 \times 5

If 60 is a factor of n², then 2, 3, and 5 must be factors of n. The factors of n² are the squares of the factors of n, so 2, 2, 3, 3, 5, and 5 must be factors of n².

Now, if 2, 2, 3, 3, 5, and 5 are factors of n², then:
* 5×5=25 must also be its factor
* 2×2×3×3=36 must also be its factor
* 2×2×5×5=100 must also be its factor

Only 16 may not be a factor of n². The answer is A.
4 0
3 years ago
2x + 4y = 15<br> 6x +12y = 45<br><br> What would the solution to the system of equations be?
Dimas [21]

Answer:

They both have an infinite number of solutions.

Step-by-step explanation:

Given system of equations:

a) 2x + 4y = 15

b) 6x + 12y = 45

Slope-intercept form: y = mx + b

<u>where:</u>

  • m is the slope
  • b is the y-intercept (when x = 0)

Rewrite <em>both</em> equations into slope-intercept form:

<em>a) 2x + 4y = 15 </em>

⇒ 2x + 4y = 15 [subtract 2x from both sides]

⇒ 2x - 2x + 4y = 15 - 2x

⇒ 4y = - 2x + 15 [divide both sides by 4]

⇒ 4y ÷ 4 = (-2x ÷ 4) + (15 ÷ 4)

\sf \implies y = -\dfrac{1}{2}x\ + \dfrac{15}{4} \ or \ y=-0.5x\ + 3.75

<em>b) 6x + 12y = 45</em>

⇒ 6x + 12y = 45 [subtract 6x from both sides]

⇒ 6x - 6x + 12y = 45 - 6x

⇒ 12y = - 6x + 45 [divide both sides by 12]

⇒ 12y ÷ 12 = (-6x ÷ 12) + (45 ÷ 12)

\sf \implies y = -\dfrac{1}{2}x\ + \dfrac{15}{4} \ or \ y=-0.5x\ + 3.75

New equations:

\sf a)\ y = -\dfrac{1}{2}x\ + \dfrac{15}{4} \ or \ y=-0.5x\ + 3.75\\\\\sf b)\ y = -\dfrac{1}{2}x\ + \dfrac{15}{4} \ or \ y=-0.5x\ + 3.75

Both equations have the same slope (-½), and y-intercept (3.75). Therefore, they both have an infinite number of solutions.

System of equations can have the following:

<u><em>No Solution:</em></u> the same slope (both lines will be parallel)

<u><em>One Solution:</em></u> different slopes and different y-intercepts

<u><em>Infinitely Many Solutions:</em></u> the same slope and y-intercept

Learn more about system of equations here:

brainly.com/question/19575460

brainly.com/question/12198631

7 0
2 years ago
Read 2 more answers
Simplify this equation
patriot [66]
\cfrac{\sqrt{5m} }{ \sqrt{5n} }=  \cfrac{\sqrt{5m} * \sqrt{5n} }{ \sqrt{5n}* \sqrt{5n}   }=  \cfrac{\sqrt{25mn} }{ 5n }= \cfrac{5\sqrt{mn} }{ 5n }= \cfrac{\sqrt{mn} }{ n }
8 0
2 years ago
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