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2 years ago

What is the value of the x-coordinate of point A?

Mathematics

1 answer:

Allisa [31]2 years ago

4 0

Answer:

X Coordinate. The horizontal value in a pair of coordinates: how far along the point is. The X Coordinate is always written first in an ordered pair of coordinates (x,y), such as (12,5). In this example, the value "12" is the X Coordinate.

I hope I can help you :)

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Erik and Caleb were trying to solve the equation: 0=(3x+2)(x-4) Erik said, "The right-hand side is factored, so I'll use the zer

Mumz [18]

Answer:

C) Both

Step-by-step explanation:

The given equation is:

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

To solve the given equation, we can use the Zero Product Property according to which if the product <em>A.B = 0</em>, then either A = 0 OR B = 0.

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:

$ax^2+bx+c=0$

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

3 0

2 years ago

Okay I don't know this one either so uh help please

vodka [1.7K]

9514 1404 393

Answer:

(a) A'(-2, 1), B'(-4, -3), C'(-7, 0)

Step-by-step explanation:

If X is the center of rotation, the coordinates of point P are transformed like this:

P' = -(P -X) +X

P' = 2X -P

(x, y) ⇒ (2(-5) -x, 2(3) -y)

(x, y) ⇒ (-10-x, 6-y)

Your points are transformed to ...

A(-8, 5) ⇒ (-10-(-8), 6-5) = A'(-2, 1)

B(-6, 9) ⇒ (-10-(-6), 6-9) = B'(-4, -3)

C(-3, 6) ⇒ (-10-(-3), 6-6) = C'(-7, 0)

These coordinates match the first choice.

6 0

2 years ago

Are 288/12 and 240/10 equivalent

qaws [65]

Yes both are equivalent

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2 years ago

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Use your calculator to select the best answer below:

bixtya [17]

Answer:

$-2\sqrt{a}$

Step-by-step explanation:

$\lim_{x \to a} \frac{a-x}{\sqrt{x} -\sqrt{a} } \\ =-\lim_{x \to a} \frac{x-a}{\sqrt{x} -\sqrt{a} } \\=-\lim_{x \to a} \frac{(\sqrt{x} -\sqrt{a})(\sqrt{x} +\sqrt{a})}{\sqrt{x} -\sqrt{a} } \\=- \lim_{x \to a} \sqrt{x} +\sqrt{a}\\=-2\sqrt{a}$

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A circular garden with a radius of 8 feet is surrounded by a circular path with a width of 3 feet. What is the approximate area

ziro4ka [17]

Answer:

9.42?

Step-by-step explanation:

3 0

3 years ago

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