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4 years ago

If ABCDE is reflected over the x-axis and then translated 3 units left, what are the

Mathematics

1 answer:

Aloiza [94]4 years ago

7 0

Answer:

(-6,1)

Step-by-step explanation:

A. Reflection

When you reflect a point (x, y) across the x-axis, the x-coordinate remains the same, but the y-coordinate gets the opposite sign.

Thus, D (-3,-1) ⟶ D' (-3, 1)

B. Translation

When you translate a point horizontally, its x-coordinate changes, but the y-coordinate. remains unchanged.

You translated the point 3 units to the left.

D'(-3, 1) ⟶ D"(-6,1)

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Can I get some help on how to solve this?

Klio2033 [76]

Answer:

see explanation

Step-by-step explanation:

Factorise both denominators

x² + 2x = x(x + 2) ← common factor of x

x² - 4 = (x - 2)(x + 2) ← difference of squares

Before subtracting we require common denominators

Multiply the numerator/denominator of the first fraction by (x - 2)

Multiply the numerator of the second fraction by x

= $\frac{5}{x(x-2)(x+2)}$ - $\frac{2x}{x(x-2)(x+2)}$

Distribute and simplify the numerator leaving the denominator

= $\frac{5x-10-2x}{x(x-2)(x+2)}$

= $\frac{3x-10}{x(x-2)(x+2)}$

3 0

3 years ago

What is the solution to the system: 9x+3y=24 2y+4x=8

egoroff_w [7]

Answer:

x = 4, y = -4

Step-by-step explanation:

9x + 3y = 24

3x + y = 8 divide both sides by 3

y = 8 - 3x subtract 3x from both sides

2y + 4x = 8

2(8 - 3x) + 4x = 8 replace y with 8 - 3x

16 - 6x + 4x = 8 distributive property

-6x + 4x = 8 - 16 subtract 16 from both sides

-2x = -8 divide both sides by -2

x = 4

y = 8 - 3x

y = 8 - 3(4) replace x with 4

y = 8 - 12

y = -4

8 0

3 years ago

Read 2 more answers

Which of the following parabolas opens down?

Veseljchak [2.6K]

ANSWER

The correct answer is C.

EXPLANATION

The directrix of the parabolas are parallel to the x-axis.
This means that, the orientation of the parabola is parallel to the y-axis.
We compare the focus and the directrix to determine whether the parabola opens downwards or upwards.
If the directrix is above the focus, then the parabola opens downwards.
On the other hand if the directrix is below the focus , then the parabola must open upwards.
If you look at option C, y=-2 isthe directrix. The focus is (3,-5). Since the the y-value of the focus , -5 is less than y=-2 which is the directrix, this parabola must open down.

The correct answer is C.

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3 years ago

A 2,000-foot-long fence will be used to enclose a rectangular field that is three times as long as it is wide. What is the lengt

BartSMP [9]

I think it's another trick question and the answer is 2000.

4 0

3 years ago

Is a degree a linear measurement

pychu [463]

Nope it’s not ayeeee

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4 years ago