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2 years ago

Find an equation parallel to the line, y= -3x -1

Mathematics

2 answers:

Aleks04 [339]2 years ago

7 0

Answer:

y = 3x -2

Step-by-step explanation:

If the line is parallel, that means it has the same slope. The given equation had a slope of 3, so the new line must also have a slope of 3.

You can plug the given coordinates into the slope-intercept form with a slope of 3 to find your answer.

y = m*x + b

7 = 3*3 + b

7 = 9 + b

-2 = b

y = 3x -2

I Hope This Helps :D

mestny [16]2 years ago

3 0

Y=3x-2 the other persons explanation

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Noah drew a scaled copy of Polygon P and labeled it Polygon Q. If the area of Polygon P is 5 square units, what scale factor did

vredina [299]

Answer:

The scale factor is 3

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z -----> the scale factor

x -----> area of polygon Q

y ----> area of polygon P

$z^{2}=\frac{x}{y}$

we have

$y=5\ units^2$

<em>Find the area of polygon Q</em>

Divide the polygon Q into five squares

see the attached figure N 2

The area of polygon Q (area of the five squares) is

$x=5(3^2)=45\ units^2$

<em>Find the scale factor</em>

$z^{2}=\frac{x}{y}$

we have

$x=45\ units^2$

$y=5\ units^2$

substitute

$z^{2}=\frac{45}{5}$

$z^{2}=9$

square root both sides

$z=3$

therefore

The scale factor is 3

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anzhelika [568]

Answer:

2. 6

4. 8

Step-by-step explanation:

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Which of the following correctly completes the square for the equation below? x^2-9x=0

PolarNik [594]

The answer to this question is choice B. To complete the square, we take the coefficient on the x term, halve it, and then square it. This results in -9/2, and then 81/4. This value of 81/4 is added to both sides, allowing for factorization of the lefthand side of the equation.

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2 years ago

a street light is at the top of a 18 ft tall pole. a woman 6 ft tall walks away from the pole with a speed of 4 ft/sec along a s

shutvik [7]

The most appropriate choice for similarity of triangles will be given by -

Speed of tip of the shadow of woman = 6 ft/s

What are similar triangles?

Two triangles are said to be similar, if the corrosponding angles of the triangles are same and the corrosponding sides of the triangles are in the same ratio.

Here,

The diagram has been attached here

Let the distance of woman from the pole be x ft and the distance of tip of the shadow to the pole be y ft.

Height of street light = 18 ft

Height of woman = 6ft

The two triangles are similar [As height of woman is parallel to the height of pole]

$\frac{y - x}{6}=\frac{y}{18}\\18y - 18x = 6y\\18y - 6y = 18x\\12y = 18x\\y = \frac{18}{12}x\\y = \frac{3}{2}x\\$