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iogann1982 [59]
3 years ago
9

Find the simultaneous equation x-2y=1,y^2-3xy+8=0​

Mathematics
1 answer:
Hitman42 [59]3 years ago
5 0

Answer:

  (-2.2, -1.6), (3, 1)

Step-by-step explanation:

You don't have to go far to find the equations. They are right there in your problem statement. Perhaps you want to find the solutions to the equations.

Use the first equation to write an expression for x, then substitute that into the second equation:

  x = 2y +1

  y^2 -3(2y+1)(y) +8 = 0

  -5y^2 -3y +8 = 0

  -(5y +8)(y -1) = 0

  y = -8/5   or   y = 1

The corresponding values of x are ...

  x = 2(-8/5)+1 = -11/5

  x = 2(1) +1 = 3

The solutions are (x, y) = (-2.2, -1.6) and (3, 1).

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Gregory drinks 6 liters of water over 2 days. And how many days would he consume another 12 liters?
Mashutka [201]
4 days because he drinks 6 in two and 12 in 4 days.
5 0
3 years ago
Hello! How do I find the surface area of this prism? Thanks!
Studentka2010 [4]
Answer: Choice C) 124 square cm

------------------------------------------------------------------

Explanation:

Let's calculate the area of the trapezoid shown
b1 and b2 are the parallel bases; h is the height of the 2D trapezoid
b1 = 2
b2 = 5
h = 1.5

A = h*(b1+b2)/2
A = 1.5*(2+5)/2
A = 1.5*7/2
A = 10.5/2
A = 5.25
The area of one 2D trapezoid is 5.25 sq cm
There are two of these trapezoids that form the base faces of the trapezoidal prism. So the total base area is 2*5.25 = 10.5 sq cm
Keep this value (10.5) in mind. We'll use it later.

------------

Now onto the lateral surface area (LSA)
It turns out that the formula for the LSA is
LSA = p*d
where 
p = perimeter of the trapezoid shown
d = depth or height of the 3D trapezoid (I'm not using h as it was used earlier)
This formula works for any polygonal base. It doesn't have to be a trapezoid.

In this case the perimeter is,
p = 1.7+2+2.65+5
p = 11.35

So
LSA = p*d
LSA = 11.35*10
LSA = 113.5

Add this LSA to the base area found earlier
10.5+113.5 = 124

The total surface area is 124 square cm
8 0
3 years ago
5 A bank's cost to issue a loan, in dollars,
sweet [91]

Answer:

8 billon

Step-by-step explanation:

7 0
3 years ago
2/3 to the third power fraction form
xxTIMURxx [149]

Answer:

8/27

Step-by-step explanation:

8 0
2 years ago
How to solve this because i think my steps are wrong ?
wlad13 [49]

Replace x with 3:

h(3) = (3^2 -4) /2

= (9-4 ) / 2

= 5/2

8 0
3 years ago
Read 2 more answers
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