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Margaret [11]
3 years ago
6

Which ordered pairs in the form (x,z) are solution to the equation 3x-4y?

Mathematics
1 answer:
jeyben [28]3 years ago
3 0
(7, 0) and (11, 3) HOPE THIS HELPED!!  <span>( ⸝⸝•ᴗ•⸝⸝ )੭⁾⁾</span>
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Read 2 more answers
Find the perimeter AND area of the parallelogram ABCD. Show all work
nexus9112 [7]

Since, this is parallelogram

so, opposite sides are equal

We will find value of sides

Calculation of AB:

we are given point A=(-2,3)

point B=(4,0)

we can use distance formula

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

now, we can plug values

AB=\sqrt{(4+2)^2+(3-0)^2}

AB=3\sqrt{5}

Since, this is parallelogram

so, opposite sides are equal

so,

CD=AB=3\sqrt{5}

Calculation of AD:

point A =(-2,3)

point D=(-5,2)

we can use distance formula

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

now, we can plug values

AD=\sqrt{(-5+2)^2+(2-3)^2}

AD=\sqrt{10}

Since, this is parallelogram

so, opposite sides are equal

so,

BC=AD=\sqrt{10}

Calculation of AE:

point A=(-2,3)

point E=(-3,1)

we can use distance formula

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

now, we can plug values

AE=\sqrt{(-3+2)^2+(1-3)^2}

AE=\sqrt{5}

(a)

we know that

perimeter of a parallelogram is sum of all sides

so,

perimeter is

=AB+BC+CD+DA

now, we can plug values

=3\sqrt{5}+\sqrt{10}+3\sqrt{5}+\sqrt{10}

=6\sqrt{5}+2\sqrt{10}...........Answer

(b)

we can use area of parallelogram formula

A=AE\times CD

we can plug values

A=\sqrt{5}\times 3\sqrt{5}

A=15............Answer


4 0
3 years ago
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