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3 years ago

Write a minor function for the line with the slope of -5 that passes through points (7,3)

Mathematics

1 answer:

Ilia_Sergeevich [38]3 years ago

4 0

The equation of the line is $5x+y-38=0$

Step-by-step explanation:

The slope is $m=-5$

Also, the line passes through the points $(7,3)$

To find a line with slope $m=-5$ that passes through the points $(7,3)$ , let us use the equation of a line with slope that passes through the point is given by $(y-y_{1} )=m(x-x_{1} )$ where m is the slope and $(x_{1} ,y_{1} )$ are the points $(7,3)$ .

Thus, substituting the values in the equation of a line, we get,

$(y-3)=-5(x-7)$

Multiplying the term $(x-7)$ by -5, we get,

$y-3=-5 x+35$

Adding both sides by 5x,

$5x+y-3=35$

Subtracting 35 from both sides of the equation,

$5x+y-38=0$

Thus, the equation of the line is $5x+y-38=0$

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One square grid is formed of 400 squares. Another square grid is formed of 256 squares. If the two grids join with a third at th

Sav [38]

One square grid has an area of 400.
Another square grid has an area of 256.

The area of the third grid can be:

(squares in third grid) + 256 = 400

OR

256 + 400 = (squares in third grid)

We get this by applying the Pythagorean theorem.

So, the squares in the third grid can either be 144 or 656. And we only have 144 as an option, so that is your answer.

Your final answer is D. 144.

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3 years ago

If a cube of metal measures 3 cm on each side and has a mass of 216 g what is the density of the metal

ohaa [14]

The formula of density is mass / volume.
So, the volume is equal to the area of the cube by the total height, so the area of the cube is 3x3= 9, and this result multiplied by the height, 9x3 = 27.
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Hope you undestand my procedure XD

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3 years ago

Read 2 more answers

Which is the graph of linear inequality 6x+2y>-10

NemiM [27]

For this case we have the following inequality:
$6x + 2y\ \textgreater \ -10
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The first thing we must do is to graph the linear function:
$6x + 2y = -10
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Then, we must evaluate ordered pairs in the following way:
(x, y)
The ordered pairs that meet the inequality, will be included as part of the graph.
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See attached image.

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3 years ago

A food packet is dropped from a helicopter and is modeled by the function f(x) = −15x2 + 6000. The graph below shows the height

melisa1 [442]

General Idea:

Domain of a function means the values of x which will give a DEFINED output for the function.

Applying the concept:

Given that the x represent the time in seconds, f(x) represent the height of food packet.

Time cannot be a negative value, so

$x\geq 0$

The height of the food packet cannot be a negative value, so

$f(x)\geq 0$

We need to replace $-15x^2+6000$ for f(x) in the above inequality to find the domain.

$-15x^2+6000\geq 0 \; \; [Divide \; by\; -15\; on\; both\; sides]\\ \\ \frac{-15x^2}{-15} +\frac{6000}{-15} \leq \frac{0}{-15} \\ \\ x^2-400\leq 0\;[Factoring\;on\;left\;side]\\ \\ (x+200)(x-200)\leq 0$

The possible solutions of the above inequality are given by the intervals $(-\infty , -2], [-2,2], [2,\infty )$ . We need to pick test point from each possible solution interval and check whether that test point make the inequality $(x+200)(x-200)\leq 0$ true. Only the test point from the solution interval [-200, 200] make the inequality true.