2 years ago

What is the perimeter of a quadrilateral with vertices at (3,-6), (8,-6), (3,-4), (8,-4)?

Mathematics

1 answer:

german2 years ago

6 0

Answer:

The perimeter is 14 units.

Step-by-step explanation:

5 + 5 + 2 + 2 = 14

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Find the x-intercept of the parabola with vertex (1,-13) and y-intercept (0,-11).

Advocard [28]

1. find equation

general solutions are:
$y = a x^{2} +bx +c \\ \\ \frac{dy}{dx} = 2ax +b$

for P(0,-11)

$-11 = 0a + 0b +c$ ⇒ $c = -11$

for p(1,-13)
$-13 = 1a + 1b -11 \\ a+b = -2$

and

$0 = 2a + b \\ b = -2a$

solve for a and b:
$a - 2a = -2 \\ a = 2 \\ b = -4$

the total equation is now:

$y = 2 x^{2} -4x -11$

To find the x-intercept set y=0 and solve for x

$0 = 2 x^{2} -4x-11$

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Store a sells 12 juice bottles for 4 and stor b sells 18 bottles for 6 dollars are they equivalent

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