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Karo-lina-s [1.5K]
3 years ago
13

I need help with #5 please

Mathematics
1 answer:
Alika [10]3 years ago
4 0

 

Distance from a point to a line (Coordinate Geometry)

Method 1: When the line is vertical or horizontal , the distance from a point to a vertical or horizontal line can be found by the simple difference of coordinates . Finding the distance from a point to a line is easy if the line is vertical or horizontal. We simply find the difference between the appropriate coordinates of the point and the line. In fact, for vertical lines, this is the only way to do it, since the other methods require the slope of the line, which is undefined for evrtical lines.

Method 2: (If you're looking for an equation) Distance = | Px - Lx |

Hope this helps!

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The cost of a circular table is directly proportional to the square of the radius. A circular table with a radius of 50cm costs
Lana71 [14]

Answer:

£135 is the correct answer.

Step-by-step explanation:

Let C be the cost of table.

And let R be the radius of table.

Cost of table is directly proportional to square of radius.

As per question statement:

C\propto R^{2} or

C=a\times R^2  ....... (1)

where a is the constant to remove the \propto sign.

It is given that

C_1 = £60 and R_1 = 50\ cm

C_2 = ? when R_2= 75\ cm

Putting the values of C_1 and R_1 in equation (1):

60=a \times 50^2  ....... (2)

Putting the values of C_2 and R_2 in equation (1):

C_2=a \times 75^2  ....... (3)

Dividing equation (2) by (3):

\dfrac{60}{C_2}= \dfrac{a \times 50^2}{a \times 75^2}\\\Rightarrow \dfrac{60}{C_2}= \dfrac{50^2}{75^2}\\\Rightarrow \dfrac{60}{C_2}= \dfrac{2^2}{3^2}\\\Rightarrow \dfrac{60}{C_2}= \dfrac{4}{9}\\\Rightarrow C_2 = 15 \times 9 \\\Rightarrow C_2 = 135

So, <em>£135 is the correct answer</em>.

7 0
3 years ago
#14 please answer this math question asap
Olin [163]

Answer:

M=(-2,-2)

J=(-1,-4)

K=(-5,-5)

L=(-7,-2)

Step-by-step explanation:

8 0
3 years ago
Straight up don’t know at all
Daniel [21]
Both those angles are equal. answer is 60. A
8 0
4 years ago
Read 2 more answers
Find the volume of the cylinder. Use 3.14 for T.<br><br> height of 5m radius of 15m
Lilit [14]

Answer:

739.47

Step-by-step explanation:

height - h, radius -r

V=hπ²r=5×3.14²×15=739.47

5 0
3 years ago
Read 2 more answers
Apply the Distributive Property to rewrite 2(6 - x) = 3. Then solve th equation Apply the Distributive Property to rewrite 2(6 -
marin [14]

Answer:

<h2><u>x = ⁹⁄₂ Or 4.5</u></h2>

Explanation:

2(6 - x) = 3

  • <u>Apply Distributive Property</u>

2(6 - x) = 3

  • 2(6) = 12, 2(x) = 2x
  • <u>12 - 2x = 3</u>

12 - 2x = 3

  • <u>Subtract 12 From Both Sides</u>

12 - 2x - 12 = 3 - 12

  • <u>Simplify</u>

-2x = -9

  • <u>Divide Both Sides By -2</u>

-2x / -2 = -9 / -2

  • <u>Simplify</u>
<h2><u>x = ⁹⁄₂ Or 4.5</u></h2>
6 0
3 years ago
Read 2 more answers
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