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4 years ago

Q # 18 Find the midpoint of. A B

Mathematics

1 answer:

Lady_Fox [76]4 years ago

4 0

Point A lies on the x-axis and distance from point A to the y-axis is 2 units, then the coordinates of A are (-2,0) (-2, because A lies on the left side from the origin and 0 because A lies on x-axis).
The distances from point B to the x-axis and y-axis are 2 and 4, then tha coordinates of point B are (4,2).
To find the middle-point M of segment AB you should use formulas: $x_M= \dfrac{x_A+x_B}{2} \\ y_M= \dfrac{y_A+y_B}{2}$ .
Then $x_M= \dfrac{-2+4}{2}=1 \\ y_M= \dfrac{0+2}{2}=1$ .
Answer: M(1,1), correct choice is C.

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Blizzard [7]

$\begin{cases}a\equiv1\pmod7\\b\equiv2\pmod7\\c\equiv6\pmod7\end{cases}$

$a^{81}\equiv1^{81}\equiv1\pmod7$

$b^{91}\equiv2^{91}\pmod7$

$2^{91}\equiv(2^3)^{30}\times2^1\equiv8^{30}\times2\pmod7$
$8\equiv1\pmod7$
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$\implies2^{91}\equiv1^{30}\times2\equiv2\pmod7$

$c^{27}\equiv6^{27}\pmod7$

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$\implies a^{81}b^{91}c^{27}\equiv1\times2\times6\equiv12\equiv5\pmod7$

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3 years ago

A square with area 4 is inscribed in a square with area 5, with one vertex of the smaller square on each side of the larger squa

Elden [556K]

Answer:

ab = 1/2.

Step-by-step explanation:

The sides of the large square have length √5 while the sides of the small one have sides of length 2.

Each corner has a right triangle with legs of length a and b and hypotenuse 2.

So we have the system

a + b = √5

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Using the identity a^2 + b^2 = (a + b)^2 - 2ab:

4 = (√5)^2 - 2ab

4 = 5 - 2ab

2ab = 5 - 4 = 1

ab = 1/2.

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3 years ago

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Leto [7]

To me it looks like A is your best answer because it is dividing 4 by a half.

hope that helps. ;)

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3 years ago

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Fittoniya [83]

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3 years ago

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grigory [225]

Answer:

There are 80 nickels, 120 dimes and 300 quarters in the piggy bank.

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Step-by-step explanation:

Please consider the complete question:

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