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NemiM [27]
3 years ago
12

Point D(−1, 5) is reflected across the x-axis.

Mathematics
2 answers:
lawyer [7]3 years ago
6 0

The answers are A and B, -5 and -1. Hope this helps!

vovikov84 [41]3 years ago
3 0

<u>Answer-</u>

<em>The coordinates of D' are (-1, </em><em>-5</em><em>)</em>

<u>Solution-</u>

The coordinates of D are (-1, 5).

While reflecting any points across the x-axis with coordinates as (x, y) becomes, (x, -y). i.e sign of y-coordinate changes.

The rule is (x, y) → (x, -y)

Applying so, after reflecting point D, its reflection D' will have coordinates as (-1, -5)

Therefore, the y-coordinate is -5.


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kozerog [31]

The known facts

  • the sum of Natalie's age and Fred's age is 36
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Now, let's set up the equations where N is Natalie's age and F is Fred's age.

N + F = 36   ---- equation 1

N + 4F = 72 ---- equation 2

equation 2 minus equation 1 ---> 3F = 36 ---> F = 12, thus N = 24

Thus Fred is 12 years old, and Natalie is 24 years old.

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8 0
3 years ago
Solve the system with elimination. {2x-y=2, -5x+4y=-2
DaniilM [7]

Answer:

{x=2,y=2

Step-by-step explanation:

Equation 1:

Multiply both sides of the equation by a coefficient

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Apply Multiplicative Distribution Law

{8x-4y=2*4,-5x+4y=-2

8x-4y+(-5x+4y)=8+(-2)

Remove parentheses

8x-4y-5x+4y=8-2

Cancel one variable

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Combine like terms

3x=8-2

Calculate the sum or difference

3x=6

Divide both sides of the equation by the coefficient of the variable

x=6/3

Calculate the product or quotient

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Equation two:

{-5+4y=-2, x=2

-5*2+4y=-2

Calculate the product or quotient

-10+4y =-2

Reduce the greatest common factor (GCF) on both sides of the equation

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Rearrange unknown terms to the left side of the equation

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Calculate the sum or difference

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Divide both sides of the equation by the coefficient of the variable

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Hope this helps!!

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2 years ago
I want to know the distance
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3 0
3 years ago
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