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3 years ago

-5x+y=-2 -3x+6y=-12 Solve by using substitution.

Mathematics

1 answer:

KIM [24]3 years ago

4 0

-5x+y=-2
y=5x-2

-3x+6(5x-2)=-12
-3x+30x-12=-12
27x-12=-12
27x= 0
x= (0/27)
x=0
-5(0)+y=-2
0+y=-2
y=-2

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Step-by-step explanation:

1. divide both sides by 3

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4 years ago

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The coordinates of the vertices of quadrilateral DEFG are D(−2, 5) , E(2, 4) , F(0, 0) , and G(−4, 1) .

daser333 [38]

Answer: The correct option is a.Quadrilateral DEFG is a rhombus because opposite sides are parallel and all four sides have the same length.

Explanation:

It is given that coordinates of the vertices of quadrilateral DEFG are D(−2, 5) , E(2, 4) , F(0, 0) , and G(−4, 1) .

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$FG=\sqrt{(-4-0)^2+(1-0)^2}=\sqrt{17}$

$DG=\sqrt{(-4+2)^2+(1-5)^2}=\sqrt{20}$

Slope formula,

$m=\frac{y_2-y_1}{x_2-x_1}$

Slope of DE,

$m_1=\frac{4-5}{2+2}= \frac{-1}{4}$

Slope of EF,

$m_2=\frac{0-4}{0-2}= 2$

Slope of FG,

$m_3=\frac{1-0}{-4-0}= \frac{-1}{4}$

Slope of DG,

$m_4=\frac{1-5}{-4+2}= 2$

The slope of opposite sides are equal, it means the opposite sides are parallel.

All four sides do not have the same length. It means it is not a rhombus.

From the figure it is noticed that the opposite sides are parallel.

Therefore, the correct option is a.Quadrilateral DEFG is a rhombus because opposite sides are parallel and all four sides have the same length.

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4 years ago

Read 2 more answers

Part 1. Using the two functions listed below, insert numbers in place of the letters a, b, c, and d so that f(x) and g(x) are in

dem82 [27]

There is no b unfortunately

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x+a=y

interchAnge

y+a=x
y=x-a

Inverse is

f^{-1}x=x-a

Now

x-a=cx-d
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x(1-c)=a-d
x=a-d/1-c

You can have any number according to this but

c must not be 1
a and d must not be equal .
All three should belongs to integers set

Note:-

As there is no b given in question (May be missed in typing) Part-2 's equation can't be executed and part 3 also

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