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Temka [501]
3 years ago
5

A walking path across a park is represented by the equation y= -3x - 6 . A new path will be built perpendicular to this path. Th

e path will intersect at the point (-3 , 3) . Identify the equation that represents the new path . WILL MARK BRAINIEST!

Mathematics
1 answer:
Shkiper50 [21]3 years ago
6 0

Answer:

C.  y=\frac{1}{3}x+4

Step-by-step explanation:

We are given the path, y=-3x-6.

<em>The general form of the straight line is 'y=mx+b', where 'm' is the slope and 'b' is the y-intercept.</em>

Thus, the slope of the given line is -3.

As, we have that the new path is perpendicular to the given path.

And, we know that, 'Product of slopes of perpendicular lines is -1'.

So, we get,

m\times (-3)=-1

i.e. m=\frac{1}{3}.

Since, the new path passes through the point (-3,3). Substituting the values in the general form, we get,

3=\frac{1}{3}\times (-3)+b

i.e. 3=-1+b

i.e. b= 3+1

i.e. b= 4.

Hence, the equation representing the new path is y=\frac{1}{3}x+4.

Thus, option C is correct.

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3 years ago
/I need help with this question
Anna11 [10]

Answer:

A

Step-by-step explanation:

since the line is parallel, it will have the same gradient. from this, we can deduce that tbe equation will also start with y = ⅕x.

next, we see that it passes through the point (0,6). what this means is, when x = 0, y = 6 which is better known as the y intercept. so in the form y= mx + b:

the equation of the line is y = ⅕x + 6

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3 years ago
The coordinate point F(-8, 0) after a dilation with scale factor of 0.25, centered at the origin, becomes the point
FrozenT [24]

Answer:

(-2,\, 0).

Step-by-step explanation:

Dilate a point (x,\, y) by a scale factor of r with (a,\, b) as the center, and the resultant point would be at (a + r\, (x - a),\, b + r\, (y - a)).

In this question:

Point to dilate: (x,\, y) = (-8,\, 0).

Scale factor: r = 0.25.

Center of dilation: (a,\, b) = (0,\, 0).

The resultant point would be:

(0 + 0.25\, (-8 - 0),\, 0 + 0.25\, (0 - 0)), which simplifies to (-2,\, 0).

5 0
3 years ago
Sqrt(1-costheta)(1+costheta)
aalyn [17]

Answer:

sinθ

Step-by-step explanation:

\sqrt{1-cos^{2}x }

\sqrt{sin^{2}x }

sinx

(replace x with theta)

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3 years ago
, 8 technicians can test 560 samples in 36 hours. How long
Yakvenalex [24]

Answer:

0.75 days (im a bit unsure but i tried my best, hope this helps :) )

Step-by-step explanation:

If it takes 8 technicians 36 hours to test 560 samples, find how many technicians can test 525 samples.

8: 560

x: 525

x= 7.5 (which is considered 7)

Then, find how long it takes to sample 525 samples, when 560 are done in 36  hours;

560: 36

525: x

x= 33.75 (which is considered 34 hours)

The last step is to check how long 15 technicians take to sample 525 samples when 8 can do the same number in 34 hours. this is inverse proportion so dont forget to flip one numerator and denominator

8; 34

15; x

it will become

15:34

8: x

x= 18 hours

Divide by 24 for days hence 0.75 days

5 0
4 years ago
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