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shtirl [24]
3 years ago
15

Show work please! I don't understand how to get this answer! I will give brainliest to the best answer!

Mathematics
1 answer:
Marina86 [1]3 years ago
4 0

Answer:

(x,y,z) = (2,-2,1)

Step-by-step explanation:

Three equations with three variables are given. Take two equations at a time to eliminate one variable.

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

                   4x -3y + 2z = 16                   .....(2)

                    2x - 2y - 3z = 5                   ......(3)

Solve (1) and (3) to eliminate z.

To do that multiply (1) by 2 and add (1) and (2). We get:

                        4x - 5z = 3                       ......(4)

Now, solve (2) and (3) and subtract them. We get:

                        2x + 13z = 17                    ......(5)

Solve (4) and (5). Multiply (5) by 2 and subtract. We get:

                                        z  = 1

Substituting z = 1, in (4) we get:  x = 2.

Now to find y, substitute values of x and y in (1).

⇒ x + y - z = -1 ⇒ 2 + y - 1 = -1

⇒ y = -2

∴ Values of (x, y, z) = (2, -2, 1).

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Andreas93 [3]
x^2-21.75x=-15.75 \\
x^2-21.75x+15.75=0

Use the quadratic formula:
x^2-21.75x+15.75=0 \\ \\
a=1 \\ b=-21.75 \\ c=15.75 \\ b^2-4ac=(-21.75)^2-4 \times 1 \times 15.75=473.0625-63=410.0625 \\ \\
x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}=\frac{-(-21.75) \pm \sqrt{410.0625}}{2 \times 1}=\frac{21.75 \pm 20.25}{2} \\
x=\frac{21.75-20.25}{2} \ \lor \ x=\frac{21.75+20.25}{2} \\
x=\frac{1.5}{2} \ \lor \ x=\frac{42}{2} \\
x=\frac{15}{20} \ \lor \ x=21 \\
x=\frac{3}{4} \ \lor \ x=21 \\
\boxed{x=\frac{3}{4} \hbox{ or } x=21}
3 0
3 years ago
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Step-by-step explanation:

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8 0
3 years ago
What percent of 15% of 60
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Answer:

the answer is 9

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4 0
2 years ago
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Licemer1 [7]

Answer:

The area is 35

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Step-by-step explanation:

You can count the individual units of the length and the width of the rectangle.

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I’m confused on this one
GenaCL600 [577]

The slope of CD is

m = \dfrac{6 - -4}{2 - 0} = 5

The slope of the perpendicular bisector is the negative reciprocal,

n = -1/m = - \dfrac 1 5

The perpendicular bisector passes through M, the midpoint of CD

M =( (0+2)/2, (-4 + 6)/2) = (1, -1)

So point slope form for the perpendicular bisector is

y - -1 = - \frac 1 5(x - 1)

Solving for y gives slope intercept form.

y = - \frac 1 5 x - \frac 4 5

Not sure how to type that without spaces; we didn't have online homework back then.

Answer: y=(-1/5)x-4/5

3 0
3 years ago
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