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mars1129 [50]
2 years ago
13

Find the distance from point (0,3) to the line y=3x-9

Mathematics
1 answer:
anastassius [24]2 years ago
6 0

Answer:

<em>The distance from a point to the line </em>

   d = \frac{9}{\sqrt{10} }

Step-by-step explanation:

<u><em>Explanation</em></u>:-

Given straight line y = 3x-9 and point ( 0, 3)

Given straight line 3 x - y -9 =0

<em>The distance from a point to the line </em>

           d = \frac{ax_{1} +by_{1} +c_{1} }{\sqrt{a^{2} +b^{2} } }

         d = |\frac{3(0) -3 -9 }{\sqrt{3^{2}  +1^{2}  } }|

         d = \frac{9}{\sqrt{10} }

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The length of a rectangle is 3 meters greater than 2 times the width. The perimeter of the rectangle is 30 meters.What is the le
faust18 [17]

Answer:

11 meters

Step-by-step explanation:

Lets say that  w = width of the rectangle, to start. If the length of the rectangle is 3 meters greater than 2 times the width, the length of the rectangle is equal to 3 + 2w.  

The perimeter of the rectangle is 2 * length of rectangle + 2 * width of the rectangle. With the perimeter being equal to 30 and width being w and length being 2w+3:

The perimeter of the rectangle is 2(w) + 2(2w+3) = 30.  

We first need to find out w first, which will give us the width of the rectangle. Taking it step by step, we get:

2w + 4w + 6 = 30

6w + 6= 30

6w = 24 which is done by subtracting both sides by 6 to put the variables on one side and the values on the other side

w = 4 which is done by dividing 6 on both sides

Ultimately, this gets width to be 4 meters. Now that we found the width, we need to plug w = 4 into the equation we set up for length which is 2w+3.

That being said, the ANSWER is:

length of rectangle = 2(4)+3 = 11 meters

Hope this helps! :)

4 0
3 years ago
Please help me with both! would really appreciate it
Tamiku [17]
Jus look and the answer above
7 0
3 years ago
Due in 20 mins help pls
kodGreya [7K]

Answer: ....

P/s:

  • 2 × 3/12 = 3 × 2/12 = 6 × 1/12 (= 1/2)
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6 0
2 years ago
Ab = 13 + 2x bc = 12 ac = x + 32<br><br> what does X and AB, BC, and AC equal?
kodGreya [7K]

Answer:

AC is equal to BA and BC is equal to CB

6 0
2 years ago
Read 2 more answers
Answer ASAP, please..
Phantasy [73]

Answer:

g(x) = (x-3)^{2} -4

Step-by-step explanation:

The graph is shifted 3 units to the right which is represented by -3 (in the parentheses) and is shifted four units down.

6 0
3 years ago
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