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Oduvanchick [21]
2 years ago
13

The coordinates of a point on a coordinate grid are (−1, 5). The point is reflected across the x-axis to obtain a new point. The

coordinates of the reflected point are
A:(1, −5)
B: (−1, 5)
C: (1, 5)
D: (−1, −5)

On a coordinate grid, both point (1, 2) and point (−3, −3) are reflected across the y-axis. What are the coordinates of the reflected points?

A: (−1, 2) and (3, −3)
B: (−1, −2) and (3, 3)
C: (1, −2) and (−3, 3)
D:(1, 2) and (3, 3)
Mathematics
2 answers:
Sliva [168]2 years ago
7 0
D (change the sign for y) and A (change the sign for x)
slava [35]2 years ago
4 0
The answers are 1.) D 2.) A
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antoniya [11.8K]

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Step-by-step explanation:

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Answer:

C) Both

Step-by-step explanation:

The given equation is:

0=(3x+2)(x-4)

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Using this property:

(3x+2) = 0 \Rightarrow \bold{x = -\frac{2}{3}}\\(x-4) = 0 \Rightarrow \bold{x = 4}

So, Erik's solution strategy would work.

Now, let us discuss about Caleb's solution strategy:

Multiply (3x+2)(x-4) i.e. 3x^2-12x+2x-8 = 3x^2-10x-8

So, the equation becomes:

0=3x^2-10x-8

Comparing this equation to standard quadratic equation:

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a = 3, b = -10, c = -8

So, this can be solved using the quadratic formula.

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

x=\dfrac{-(-10)\pm\sqrt{(-10)^2-4\times3 \times (-8)}}{2\times 3}\\x=\dfrac{-(-10)\pm\sqrt{196}}{6}\\x=\dfrac{10\pm14}{6} \\\Rightarrow x= 4, -\dfrac{2}{3}

The answer is same from both the approaches.

So, the correct answer is:

C) Both

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Answer:

8 days

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