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anzhelika [568]
3 years ago
12

Determine the area of the parallelogram with vertices (4, 6, 2), (4, 7, 2), (9, 7, 2), and (9, 8, 2). Use the square root symbol

'√' where needed to give an exact value for your answer.

Mathematics
1 answer:
astra-53 [7]3 years ago
7 0

Answer:

  5 square units

Step-by-step explanation:

The parallelogram lies entirely in the plane z=2, so we can treat this as a 2-dimensional problem.

In the order given, the vertices do not define a parallelogram. Two of the sides are parallel, but the other two sides cross each other, for a net area of zero.

If we swap the order of the last two vertices, we get a parallelogram that has a base of 1 unit and a height of 5 units. Its area is ...

  A = bh = 1·5 = 5 . . . square units

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Alika [10]
When you add 4 to 25 you get 21 then subtract 11 and get 10 and then add 15 which is equal to 25 and then subtract 13.

the answer is 12
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3 years ago
Find an expression for a cubic function f if f(4) = 96 and f(-4) = f(0) = f(5) = 0. Part 1 of 4 A cubic function generally has t
Bezzdna [24]

Given a polynomial p(x) and a point x_0, we have that

p(x_0) = 0 \iff (x-x_0) \text{\ divides\ } p(x)

We know that our cubic function is zero at -4, 0 and 5, which means that our polynomial is a multiple of

(x+4)(x)(x-5) = x(x+4)(x-5)

Since this is already a cubic polynomial (it's the product of 3 polynomials with degree one), we can only adjust a multiplicative factor: our function must be

f(x) = ax(x+4)(x-5),\quad a \in \mathbb{R}

To fix the correct value for a, we impose f(4)=96:

f(4) = 4a(4+4)(4-5) = -32a = 96

And so we must impose

-32a=96 \iff a = -\dfrac{96}{32} = -3

So, the function we're looking for is

f(x) = -3x(x+4)(x-5)=-3x^3+3x^2+60x

4 0
3 years ago
Which unit has the greatest capacity? Tablespoon, quart, Pint or teaspoon?
Tamiku [17]
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Read 2 more answers
80+90=8+9 add a 0 to the end of your answer
Len [333]

Answer:

The answer is 170

Step-by-step explanation:

Because 8 + 9 = 17, if we multiply all of these values by ten or add a zero to the end of each number, we should get

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Answer:

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Step-by-step explanation:

all steps are in picture

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