We are given with the following vertices:
A (0,0)
B (-1,1)
C(6,1)
D (2.0)

Next is to plot the vertices in the Cartesian plane so that we can identify the figure. See attached image.

The identified shape is a "Parallelogram".

4 0

3 years ago

Solve the system of equations 2x+4y+3z=6 5x+8y+6z=4

MaRussiya [10]

Answer:Solution :

{x,y,z} = {-8,52/7,-18/7}

System of Linear Equations entered :

[1] 2x + 4y + 3z = 6

[2] 5x + 8y + 6z = 4

[3] 4x + 5y + 2z = 0

Solve by Substitution :

// Solve equation [3] for the variable z

[3] 2z = -4x - 5y

[3] z = -2x - 5y/2

// Plug this in for variable z in equation [1]

[1] 2x + 4y + 3•(-2x-5y/2) = 6

[1] -4x - 7y/2 = 6

[1] -8x - 7y = 12

// Plug this in for variable z in equation [2]

[2] 5x + 8y + 6•(-2x-5y/2) = 4

[2] -7x - 7y = 4

// Solve equation [2] for the variable y

[2] 7y = -7x - 4

[2] y = -x - 4/7

// Plug this in for variable y in equation [1]

[1] -8x - 7•(-x -4/7) = 12

[1] -x = 8

// Solve equation [1] for the variable x

[1] x = - 8

// By now we know this much :

x = -8

y = -x-4/7

z = -2x-5y/2

// Use the x value to solve for y

y = -(-8)-4/7 = 52/7

// Use the x and y values to solve for z

z = -2(-8)-(5/2)(52/7) = -18/7

Solution :

{x,y,z} = {-8,52/7,-18/7}

Step-by-step explanation:

4 0

3 years ago

Cecilia has $780 in an account earning 5.2% simple interest. How much more interest would her account earn in 6 years with annua

Makovka662 [10]

Answer:

$1057.3

Step-by-step explanation:

First we'll find the Interest no. 1, which is simple interest, assuming the time 1 year:

S.I= PRT/100

S.I= 780*5.2*1/100

S.I=$40.56

Now we'll find interest no.2, which is compound interest, time is 6 years, Principal amount (780) will remain the same as well as the rate thus (putting in the formula of compound interest- annual- $A=P(1+\frac{R}{100} )^t$ ):