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balandron [24]
3 years ago
11

-0.75 7/8 and - 5/8 in order from least to greatest

Mathematics
1 answer:
VMariaS [17]3 years ago
5 0
Hello there!

The answer is:
-5/8
-0.75
7/8
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What is 2 x 2 x 2 as an exponent
dimulka [17.4K]

Answer:

2 to the third power

Step-by-step explanation:

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3 years ago
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ILL GIVE YOU BRAINLIST !!!! What is the slope of this table?
VLD [36.1K]

Answer: Slope is m = 2/3

Step-by-step explanation:

-You have exactly four points on a table:

(3,2) (6,4) (9,6) (12,8)

-Use the slope formula and use any two points from those four points in order to find the slope:

m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}

-The two points I use are  (3, 2)  and (6,4 ) for the equation:

m = \frac{4 - 2}{6-3}

m= \frac{2}{3}

So, the slope of the table is \frac{2}{3}.

8 0
3 years ago
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
3 years ago
What's the square root of 6.909877
Vesna [10]
The answer is square root of 6.909877
I hope you like this answer, please Brainliest me, and have a good day! :D
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585 is correct!

LxWxH is for area

Mark with crown!
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