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2 years ago

what is the slope of the line that passes through the points (3,6) and (1,2)? write your answer i’m simplest form.

Mathematics

1 answer:

Nikitich [7]2 years ago

6 0

Answer:

Slope (m) = 2

Step-by-step explanation:

Here's the full equation⤵⤵⤵

$y = 2x$

Picture of graph (labeled) is above⤴⤴⤴

Hope this helped :)

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Simplify each expression.

Vlad [161]

Answer:

The answer is:

32x+12y

Step-by-step explanation:

Because 4 times 8 =32 and 4 times 3 =12

5 0

3 years ago

At which root does the graph of f(x) = (x – 5)3(x + 2)2 touch the x-axis?

Sauron [17]

Answer:

x = -2

Step-by-step explanation:

The root will touch the axis and bounce off when the exponent is even. In that case, that means (x + 2)² is the binomial that will bounce. Therefore, the root which bounces and touches the x-axis is x = -2.

5 0

3 years ago

Hamza is graphing the parabola represented by this equation. 3x-6y^2+6y=0<br> The answer is below!!!

aivan3 [116]

Hamza should draw the vertex at (-0.5, 0.5), the directrix at -0.625, and the focus at (-0.375, 0.5). The parabola will open to the right

The given equation is 3x-6y²+6y=0.

<h3>What is the parabola?</h3>

An equation of a curve that has a point on it that is equally spaced from a fixed point and a fixed line is referred to as a parabola. The parabola's fixed line and fixed point are together referred to as the directrix and focus, respectively.

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Right

Vertex: (-1/2, 1/2)

Focus: (-3/8, 1/2)

Axis of symmetry: y=1/2

Directrix: x=-5/8

The coordinate points to plot (-1/2, 1/2), (0.5, 1.21), (0.5, -1.21), (1.5, 1.5) and (1.5, -0.5).

Therefore, Hamza should draw the vertex at (-0.5, 0.5), the directrix at -0.625, and the focus at (-0.375, 0.5). The parabola will open to the right.

To learn more about the parabola visit:

brainly.com/question/21685473.

#SPJ1

4 0

8 months ago

A contractor has installed a silt fence around an area that is semi-circular and level to prevent soil from the construction sit

monitta

We know is a semi-circle, so let us use the equation for the area of a circle instead, and then, half it
so, the diameter is 1100, meaning the radius is half that, or 550

so... $\textit{area of a circle}=\pi r^2\qquad r=radius=\frac{diameter}{2}=\frac{1100}{2}=550
\\ \quad \\
\textit{area of a semi-circle}=\cfrac{\pi r^2}{2}\impliedby \textit{enclosed acres}
\\ \quad \\
\textit{circumference of a circle}=2\pi r
\\ \quad \\
\textit{circumference of a semi-circle}=\cfrac{2\pi r}{2}\impliedby \textit{linear feet of fence}$

6 0

3 years ago

F(x) 5x/x-2

Phoenix [80]

Answer:

Vertical asymptote: x=2

Horizontal asymptote: y=5

Step-by-step explanation:

Hi there!

The parent function for a rational function has a horizontal asymptote at y=0 and a vertical asymptote at x=0.

First, we want to perform long division on 5x/x-2. Please check the image attached.

The result is $5+\displaystyle\frac{10}{x-2}$ .

Here are the transformations of a rational function:

$f(x)=\displaystyle\frac{a}{b(x-h)}+k$

a = vertical stretch

b = horizontal stretch

h = horizontal translation

k = vertical translation

Stretches don't change the location of the asymptotes, only the translations do.

According to $5+\displaystyle\frac{10}{x-2}$ , we applied a horizontal translation of 2 units right and a vertical translation of 5 units up. Therefore, our asymptotes are now x=2 and y=5.

I hope this helps!

6 0

1 year ago