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2 years ago

Midpoint of (2,4) and (2, -7)

Mathematics

1 answer:

slega [8]2 years ago

6 0

Step-by-step explanation:

soln:

let,

(x1,y1) =(2,4)

(x2,y2)=2,-7)

Now,

By midpoint formula,

×= x1+x2

= 2+2

=4

=2,,

And,

Y=y1+y2

=4-7

= -3

Hence ,

The mispoint between points (2,4) and (2,-7) is (2,-3 )

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What is the conversion factor to convert cups to liters?

Gemiola [76]

Answer:

0.2365882365 L/cup

Step-by-step explanation:

The conversion factor can be found from the size of a cup in relation to a gallon, and the size of a cubic inch in relation to a liter.

$1\,\text{cup}=8\,\text{fl oz}\times\dfrac{231\,in^{3}}{128\,\text{fl oz}}\times\left(\dfrac{0.254\,\text{dm}}{1\,\text{in}}\right)^{3}\times\dfrac{1\,L}{1\,dm^{3}}\\\\=\dfrac{8\cdot 231\cdot 0.254^{3}}{128}\,L=0.2365882365\,L$

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3 years ago

How would I plot this?

____ [38]

Answer:

Step-by-step explanation:

As the center of dilation is A, it does not change.

As A is the origin, B is (12, 4)

So B' will be (12/4, 4/4) = (3, 1)

Or from A move 3 right and 1 up

As A is the origin, C is (8, - 8)

So C' will be (8/4, -8/4) = (2, -2)

Or from A move 2 right and 2 down.

8 0

3 years ago

How do you find a unit vector that is orthogonal to both u = (1, 0, 1) v = (0, 1, 1)?

inna [77]

Answer:

one unit vector is ur=(-1/√3 ,1/√3 ,1/√3 )

Step-by-step explanation:

first we need to find a vector that is ortogonal to u and v . This vector r can be generated through the vectorial product of u and v , u X v : $r=u X v =\left[\begin{array}{ccc}i&j&k\\1&0&1\\0&1&1\end{array}\right] = \left[\begin{array}{ccc}0&1\\1&1\end{array}\right]*i + \left[\begin{array}{ccc}1&0\\1&1\end{array}\right]*j + \left[\begin{array}{ccc}1&0\\0&1\end{array}\right]*k = -1 * i + 1*j + 1*k = (-1,1,1)$

then the unit vector ur can be found through r and its modulus |r| :

ur=r/|r| = 1/[√[(-1)²+(1)²+(1)²]] * (-1,1,1)/√3 =(-1/√3 ,1/√3 ,1/√3 )

ur=(-1/√3 ,1/√3 ,1/√3 )

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4 years ago

In the evening, the temperature is 28 degrees. By midnight it has dropped 31 degrees lower. Between midnight and 4 am it goes do

dalvyx [7]

Answer: 21 degrees

Step-by-step explanation:

In the evening, the temperature is 28 degrees and by midnight it has dropped 31 degrees lower, the temperature by midnight will be:

= 28° - 31°

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= -3° - 6°

= -9°

Then, by 9 am, the temperature goes up 30 degrees, the temperature at 9 am will then be:

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= 21°

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3 years ago

135 + 230+100+100+1000

PIT_PIT [208]

Answer:

its 1565!

Step-by-step explanation:

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3 years ago