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DIA [1.3K]
2 years ago
14

Pog i will give u a pog if u get it correct

Mathematics
2 answers:
Eva8 [605]2 years ago
4 0

Answer:

WHOS YOUR FAV MCYT

Step-by-step explanation: WILBUR SOOT TOMMYINNIT  WILBUR SOOT TOMMYINNIT WILBUR SOOT TOMMYINNIT WILBUR SOOT TOMMYINNIT WILBUR SOOT TOMMYINNIT WILBUR SOOT TOMMYINNIT WILBUR SOOT TOMMYINNIT WILBUR SOOT TOMMYINNIT WILBUR SOOT TOMMYINNIT WILBUR SOOT TOMMYINNIT WILBUR SOOT TOMMYINNIT WILBUR SOOT TOMMYINNIT WILBUR SOOT TOMMYINNIT WILBUR SOOT TOMMYINNIT WILBUR SOOT TOMMYINNIT WILBUR SOOT TOMMYINNIT WILBUR SOOT TOMMYINNIT WILBUR SOOT TOMMYINNIT WILBUR SOOT TOMMYINNIT WILBUR SOOT TOMMYINNIT WILBUR SOOT TOMMYINNIT WILBUR SOOT TOMMYINNIT WILBUR SOOT TOMMYINNIT WILBUR SOOT TOMMYINNIT WILBUR SOOT TOMMYINNIT WILBUR SOOT TOMMYINNIT WILBUR SOOT TOMMYINNIT WILBUR SOOT TOMMYINNIT WILBUR SOOT TOMMYINNIT WILBUR SOOT TOMMYINNIT WILBUR SOOT TOMMYINNIT WILBUR SOOT TOMMYINNIT WILBUR SOOT TOMMYINNIT WILBUR SOOT TOMMYINNIT WILBUR SOOT TOMMYINNIT WILBUR SOOT TOMMYINNIT WILBUR SOOT TOMMYINNIT WILBUR SOOT TOMMYINNIT WILBUR SOOT TOMMYINNIT

Rina8888 [55]2 years ago
3 0

Answer:

32.4

Step-by-step explanation:

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Verify that the points are the vertices of a parallelogram and find its area. (2,-1,1), (5, 1,4), (0,1,1), (3,3,4)
Gelneren [198K]

Answer:

Area = 13.15 square units

Step-by-step explanation:

Let the given vertices be represented as follows:

A(2, -1, 1) = 2i - j + k

B(5, 1, 4) = 5i + j + 4k

C(0, 1, 1) = 0i + j + k

D(3, 3, 4) = 3i + 3j + 4k

(i) Let's calculate the vectors of all the sides:

\\AB = B - A =  (5i + j + 4k) - (2i - j + k)

AB = 5i + j + 4k - 2i + j - k                 [Collect like terms]

AB = 3i + 2j + 3k

BC = C - B =  (0i + j + k) - (5i + j + 4k)

BC = 0i + j + k - 5i - j - 4k                 [Collect like terms]

BC = -5i + 0j - 3k

CD = D - C =  (3i + 3j + 4k) - (0i + j + k)

CD = 3i + 3j + 4k - 0i - j - k                [Collect like terms]

CD = 3i + 2j + 3k

DA = A - D =  (2i - j + k) - (3i + 3j + 4k)

DA = 2i - j + k - 3i - 3j - 4k                [Collect like terms]

DA = -i - 4j - 3k

AC = C - A =  (0i + j + k) - (2i - j + k)

AC = 0i + j + k - 2i + j - k                [Collect like terms]

AC = -2i + 2j

BD = D - B = (3i + 3j + 4k) - (5i + j + 4k)

BD = 3i + 3j + 4k - 5i - j - 4k                [Collect like terms]

BD = -2i + 2j

(ii) From the results in (i) above, we can deduce that;

AB = CD This implies that AB || CD  [AB is parallel to CD]

AC = BD This implies that AC || BD  [AC is parallel to BD]

(iii) Therefore, ABDC is a parallelogram since opposite sides (AB and CD) are parallel. Hence, the points are vertices of a parallelogram

<u>Now let's calculate the area</u>

To find the area of the parallelogram, we find the magnitude of the cross product of any two adjacent sides.

In this case, we'll choose AB and AC

Area = |AB X AC|

Where;

AB X AC = \left[\begin{array}{ccc}i&j&k\\3&2&3\\-2&2&0\end{array}\right]

<u></u>

AB X AC = i(0 - 6) - j(0 + 6) + k(6 + 4)

AB X AC = - 6i - 6j + 10k

|AB X AC| = \sqrt{(-6)^2 + (-6)^2 + (10)^2}

|AB X AC| = \sqrt{172}

|AB X AC| = 13.15

Area = 13.15 square units.

<u></u>

<u></u>

<u>PS: </u> ACBD is also a parallelogram. The diagram has also been attached to this response.

6 0
2 years ago
Help please...I'll do anything...
Sveta_85 [38]

Answer:

Step-by-step explanation:

Here is a formula that can help:

4 0
2 years ago
Determine the equation of the polynomial, p(x),in both factored and standard form.
melamori03 [73]

We can see that the graph touches x=-1 without crossing the x-axis (i.e. it is a double solution), and then there's another zero at x=2 (this time it's a crossing zero, so a single solution).

This leads, up to multiple, to the polynomial

p(x)=a(x+1)^2(x-2)

If we impose the passing through (0,4) we have

p(0)=4=a(1)(-2) \iff -2a=4 \iff a=-2

So, the polynomial is

p(x)=-2(x+1)^2(x-2)=-2 x^3 + 6 x + 4

Finally, to solve p(x), simply look at the graph, searching for the points, where the graph is below the x-axis. You can see that this happens only if x>2, so that's the solution to your question.

4 0
3 years ago
Which equations have a unit rate of change of 4.5 ? select 2 answers
Maurinko [17]

Answer:

Options A and C

Step-by-step explanation:

<u>To have a unit rate of change of 4.5 means to have the slope at 4.5</u>

A.  y = 62 + 4.5x  GOOD

B.  c = 4.5 + 3h - 1  WRONG

C.  c = 12 + 4.5h - 4.5  GOOD

D.  y = 3.5x + 1  WRONG

E.  y = 4.5  + 20x WRONG

Answer:  Options A and C

3 0
3 years ago
(7+4)6 =<br> Step by step is 42+24=66
ddd [48]

Answer:

66

Step-by-step explanation:

Add what is in the parenthesis, in this case 7+4:

(7+4)

=11

Multiply 11 by 6:

(11)6

=66

hope this helps :)

5 0
3 years ago
Read 2 more answers
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