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3 years ago

Write the equation of a line that is parallel to x=8 and that passes through the point (-3,-2)

1 answer:

7 0

A line parallel to x = 8 will be of the form:

$x= k$

where k is a constant.

It passes through (-3,-2)

Thus,

$x = k \\ \\ \Rightarrow -3= k$

$\textbf{The equation is \: \: x = -3}$

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insens350 [35]

Answer:

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Step-by-step explanation:

First, distribute the negative sign to the numbers in the second parentheses. Then you’ll need to combine like terms.

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3 years ago

If the area of a circle is 25 pi, find the length of an arc with a central angle of 240? Any help is appreciated please.

almond37 [142]

Answer:

11.81pi

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3 years ago

Write the following numbers in scientific notation A. )500000000 B.)0.0000008

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3 years ago

The line $y = 3$ intersects the graph of $y = 4x^2 + x - 1$ at the points $A$ and $B$. The distance between $A$ and $B$ can be w

raketka [301]

Answer:

Step-by-step explanation:

Let's find the points $A$ and $B$ .

We know that the $y$ -coordinates of both are $3$ .

So let's first solve:

$3=4x^2+x-1$

Subtract 3 on both sides:

$0=4x^2+x-1-3$

Simplify:

$0=4x^2+x-4$

I'm going to use the quadratic formula, $x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$ , to solve.

We must first compare to the quadratic equation, $ax^2+bx+c=0$ .

$a=4$

$b=1$

$c=-4$

$\frac{-1 \pm \sqrt{1^2-4(4)(-4)}}{2(4)}$

$\frac{-1 \pm \sqrt{1+64}}{8}$

$\frac{-1 \pm \sqrt{65}}{8}$

Since the distance between the points $A$ and $B$ is horizontal. We know this because they share the same $y-coordinate$ .This means we just need to find the positive difference between the $x$ -values we found for the points of $A$ and $B$ .