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3 years ago

Write an equation that represents the line

Mathematics

2 answers:

Savatey [412]3 years ago

4 0

Answer:

y = -1/2 x - 3.5

Step-by-step explanation:

y = mx+ b

m is the slope of the line

m = -1/2

b is the y-intercept

b = -3.5

Pie3 years ago

3 0

Answer:

y=(-1/2)x-3.5

Step-by-step explanation:

Using the equation (rise/run) with the two marked points, we find that the slope is (1/-2), or -1/2.

The y-intercept, as seen in the graph, is -3.5.

Once you plug the slop and y-intercept into y=mx+b, you get your equation: y=(-1/2)x-3.5

To check your answer, swap x and y out for values of a point on the line. With the point (1, -4)..:

-4=(-1/2)1-3.5

-4=(-1/2)-3.5

-4=-4

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3 years ago

F(x) = 2x – 1 g(x) = 7x – 12 What is h(x) = f(x) + g(x)?

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Answer:

Solution,

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3 years ago

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HACTEHA [7]

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3 years ago

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A cube has a surface area of 486 cm2. What is the side length ?

astraxan [27]

A Cube, has all equal sides, namely, the length, width and height
are all equal to each other

so.. notice the picture added here
you have really, 6 squares, stacked up to each other at the edges

so...what is the Area of one of those squares?
well, if the sides are equal, let's say the side is "x" long, then
the Area is $x\cdot x \implies x^2$

well, you have 6 of those squares, thus $\bf \textit{surface area of a cube}=
\begin{cases}
(x\cdot x)+\\
(x\cdot x)+\\
(x\cdot x)+\\
(x\cdot x)+\\
(x\cdot x)+\\
(x\cdot x)\\
 --------------\\
 x^2+x^2+x^2+x^2+x^2\\
6x^2
\end{cases}
\\\\
\textit{we know the Area is }486\ cm^2\qquad thus
\\\\
\textit{surface area}=6x^2\implies 486=6x^2$

solve for "x", to get one side's length

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3 years ago