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3 years ago

Solve the following systems of equations. 5x+3y+4z=1 4x-7y+3z=0 x+5y-2z=-11

Mathematics

1 answer:

ra1l [238]3 years ago

3 0

Answer:

x= 8

y= -5

z= 0

Step-by-step explanation:

this is the correct answer to this system of equations.

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Misha Larkins [42]

Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar.

GenaCL600 [577]

Answer:

Step-by-step explanation:

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2 years ago

Find the center of the circle that you can circumscribe about DABC.

Vlada [557]

The center of the circle that circumscribe about DABC is $(h,k) = (1, 5)$ .

A circle can be modelled after a expression of the form:

$A\cdot x + B\cdot y + C =-x^{2}-y^{2}$ (1)

We can determine all coefficients by knowing three <em>distinct</em> points on plane.

If we know that $(x_{1}, y_{1}) = (2, 8)$ , $(x_{2}, y_{2}) = (0, 8)$ and $(x_{3}, y_{3}) = (2, 2)$ , then the solution of the system of linear equations is:

$2\cdot A + 8\cdot B + C = -68$ (2)

$8\cdot B + C = -64$ (3)

$2\cdot A + 2\cdot B + C = -8$ (4)

$A = -2, B = -10, C = 16$

Now we proceed to <em>complete</em> squares and factor each resulting perfect square trinomial in order to determine the coordinates of the center of the circle:

$x^{2}+y^{2}-2\cdot x -10\cdot y +16 = 0$

$(x^{2}-2\cdot x +1)-1+(y^{2}-10\cdot y +25)-25 +16 = 0$

$(x-1)^{2}+(y-5)^{2}= 10$

The center of the circle that circumscribe about DABC is $(h,k) = (1, 5)$ .

To learn more on circles, we kindly invite to check this verified question: brainly.com/question/11833983

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3 years ago

Find the area of the shape shown below.

Andru [333]

Answer:

10 square units.

Step-by-step explanation:

Remark

No matter how weird it looks, the figure is a trapezoid. It has 2 parallel lines.

The height has 2 right angles, one at each end.

Givens

b1 = 2

b2 = 8

h = 2

Formula

Area = 1/2 * (b1 + b2 ) * h

Solution

Area = 1/2 * (2 + 4 + 2 + 2) * 2 Be sure you understand where all those 2s came from.

Area = 10 square units

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3 years ago

Connor is filling a 15 gallon wading pool.On his first trip he carried 3 1 1/12 gallons of water.He carried 3 5/6 gallons on his

Leya [2.2K]

47/12+23/6+7/2+5=47/12+46/12+42/12+60/12=195/12=16.25 gallons. The pool will be filled

4 0

3 years ago