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ANEK [815]
3 years ago
10

2x + y = 20 6x - 5y =12

Mathematics
2 answers:
Vera_Pavlovna [14]3 years ago
7 0
Rearrange the first equation
2x + y = 20
take away 2x from both sides
y = 20 - 2x 
substitute this y value into the second equation
6x - 5(20 - 2x) = 12
6x -100 +10x = 12
add 100 to both sides
6x + 10x = 112
16x = 112
divide both sides by 16 
x = 7
Substitute this x value into the first equation to get y.
2(7) + y = 20
14 + y = 20
take away 14 from both sides
y = 6

So, y = 6 and x = 7
nika2105 [10]3 years ago
6 0
5(2x + y = 20) = (10x + 5y = 100)
(10x + 5y = 100) + (6x - 5y = 12) = 16x = 112
112/16 = 7

The final answer is 7.
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A solid cylinder of iron whose diameter is 18 cm and height 12 cm is melted and turned into a solid sphere. Find the diameter of
finlep [7]

Answer:

Diameter of sphere = 18 cm

Step-by-step explanation:

<h2>Volume of Cylinder and Sphere:</h2><h3> Cylinder:</h3>

     Diameter = 18 cm

                  r = 18÷ 2 = 9 cm

                 h = 12 cm

\sf \boxed{\bf Volume \ of \ cylinder = \pi r^2h}

                                    = π * 9 * 9 * 12 cm³

<h3>Sphere:</h3>

  \sf \boxed{\text{\bf Volume of sphere = $\dfrac{4}{3} \pi r^3$}}

Solid cylinder is melted and turned into a solid sphere.

Volume of sphere = volume of cylinder

 \sf \dfrac{4}{3}\pi r^3 = \pi *9*9*12

      \sf r^{3}= \dfrac{\pi *9*9*12*3}{4*\pi }\\\\  r^{3}=9 * 9 *3 *3\\\\\\r = \sqrt[3]{9*9*9}\\\\ r = 9 \ cm\\\\diameter = 9*2\\\\\boxed{diameter \ of \  sphere = 18 \ cm}

6 0
1 year ago
What is the slope of points (11,13) and (-8,-19)?
borishaifa [10]
The answer is 32/9 , or 1.68.
8 0
3 years ago
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Jobisdone [24]

Answer:

B. Y= -3x + 4

Step-by-step explanation:

Apex

Hope this helps Have a nice day

6 0
3 years ago
A parabola can be drawn given a focus of (0,−6) and a directrix of y=−2. Write the equation of the parabola in any form.
topjm [15]

Answer:

y = x^2 - 4

Step-by-step explanation:

The vertex of a parabola is exactly halfway between the focus and the directrix.  If the focus is at (0, -6) and the directrix is the line y = -2, then we do this to locate the vertex:  Draw a vertical line through (0, -6) also crossing the line y = -2.  The y value halfway between y = -6 and y = -2 is y = -4, and the vertex is thus (0, -4).

Using the vertex method, write out the equation of this parabola, starting with the general form y - k = (x-h)^2, where (h, k) is the vertex.  Here h = 0 and k = -4

We get:  y + 4 = (x - 0)^2, or y + 4 = x^2, or y = x^2 - 4.  As a check, let x = 0; y = -4, which is the y-coordinate of the vertex.

7 0
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Step-by-step explanation:

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