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3 years ago

Solve this system of equations: X=? Y=? ( JUST WRITE THE NUMBER ANSWERS WITH A COMMA BETWEEN THEM)

Mathematics

1 answer:

hjlf3 years ago

4 0

Answer:

Therefore the Final Solution is

x = 2 and y = 4

( 2 , 4 )

Step-by-step explanation:

Given:

$y=2x$ ...............Equation ( 1 )

$x=-y+6$ ................Equation ( 2 )

To Find:

x = ?

y = ?

Solution:

Substitute Equation ( 1 ) in Equation ( 2 ) we get

$x=-2x+6\\\\3x=6\\\\3x=6\\\\x=\frac{6}{3} \\\\\therefore x =2$

Now Substituting x = 2 in Equation ( 1 ) we get

$y =2\times 2\\\\\therefore y=4$

Therefore the Final Solution is

x = 2 and y = 4

( 2 , 4 )

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amid [387]

The minimum distance between the asteroid and the sun is 10 - 6 =4

The given hyperbolic path defined as
divide both the sides by 576,

The general equation of

hyperbola is written as
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Compare with above mention equation
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The distance between the asteroid and the sun is seen by figure -1
or
⇒c =10

The minimum distance between the asteroid and the sun is 10 -6 =4

4 0

3 years ago

Solve 3x+2y=4 4x+3y=7 algebraically

Leona [35]

Step 1. Multiply first equation with -3 and the second one with 2. You'll get:
$\left \{ {{-9x-6y=-12} \atop {8x+6y=14}} \right.$

Step 2. Add both equations together. You'll get:
$-x=2$ , which gives x = -2

Step 3. Replace x = -2 in the first equation and calculate y.
$3(-2)+2y=4\\
y=\frac{4+6}{2}=5$

The solution is: x=-2, y=5

8 0

3 years ago

Find the shortest side of a triangle whose perimeter is 64 if the ratio of two of its sides is 4:3 and the third side is 20 less

Sergio039 [100]

Answer:

The shortest side of the triangle is 18

Step-by-step explanation:

Let the sides the triangle be x, y and z.

From the question, the perimeter of the rectangle is 64, that is

x + y + z = 64 ...... (1)

Also, the ratio of two of its sides is 4:3, that is x:y = 4:3, then we can write that x/y = 4/3 ⇒ 3x = 4y ...... (2)

The third side, z, is 20 less than the sum of the other two, that is

z + 20 = x + y ...... (3)

Substitute equation (3) into (1)

Then,

z + 20 + z = 64

2z +20 = 64

2z = 64 - 20

2z = 44

z = 44/2 k

z = 22

From equation (3)

z + 20 = x + y

Then, k

22 + 20 = x +y

42 = x + y

x = 42 - y ...... (4)

Substitute this into equation 2

3x = 4y

3(42-y) = 4y

126 - 3y = 4y

4y + 3y = 126

7y = 126

y = 126/7

y = 18

Substitute this into equation (4)

x = 42 - y

x = 42 - 18

x = 24

∴ x = 24, y = 18 and z = 22

Hence, the shortest side of the triangle is 18.

4 0

3 years ago

Y intersepts examples

Inga [223]

Answer:

3x+4y-12=0

y intercept = -constant term/coefficient. of y

= 12/4

8 0

3 years ago

Help please! 10 points!

IgorC [24]

Answer:

21.6 or 22

Step-by-step explanation:

Triangles have same angles. This means that they are proportion.

50/27 = 40/x

when you cross multiply to solve x, 50x = 1080

so x = 21.6

If you have to nearest whole number, it will be 22

7 0

3 years ago