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3 years ago

На клетчатой бумаге с размером клетки 2 x V2 изображена трапеция. Найди её площадь

Mathematics

1 answer:

yawa3891 [41]3 years ago

6 0

Answer:

what does this mean what!

Step-by-step explanation:

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Please help!!! Square root of -100= + i

kykrilka [37]

Answer:

NaN

Step-by-step explanation:

idk if this helps i just googled it

8 0

3 years ago

10 sqrt 45 please show how you did it

bulgar [2K]

$10\sqrt{45}=10\sqrt{9\cdot5}=10\sqrt{3^2\cdot5}=\\\\=10\cdot3\sqrt5=\boxed{30\sqrt5}$

6 0

3 years ago

Let $A = (4,-1)$, $B = (6,2)$, and $C = (-1,2)$. There exists a point $X$ and a constant $k$ such that for any point $P$,

goldfiish [28.3K]

Answer:

k=32

Step-by-step explanation:

Given the points:

$A = (4,-1)$, $B = (6,2)$, and $C = (-1,2)$.$

The first step is to find the Centroid of the triangle.

Centroid, X

$=\left(\dfrac{x_1+x_2+x_3}{3} ,\dfrac{y_1+y_2+y_3}{3} \right)\\=\left(\dfrac{4+6+(-1)}{3} ,\dfrac{-1+2+2}{3} \right)\\=\left(\dfrac{9}{3} ,\dfrac{3}{3} \right)=(3,1)$

Next, let P be a point (x,y)

Using the distance formula, $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$PA^2=(x-4)^2+(y-(-1))^2\\PB^2=(x-6)^2+(y-2)^2\\PC^2=(x-(-1))^2+(y-2)^2\\PX^2=(x-3)^2+(y-1)^2\\$

On Substitution into: $PA^2 + PB^2 + PC^2 = 3PX^2 + k$

$(x-4)^2+(y-(-1))^2+(x-6)^2+(y-2)^2+(x-(-1))^2+(y-2)^2=3[(x-3)^2+(y-1)^2]+k$

Let us simplify the LHS first

$\\LHS: x^2-8x+16+y^2+2y+1+x^2-12x+36+y^2\\-4y+4+x^2+2x+1+y^2-4y+4\\=3x^2-18x+3y^2-6y+62$

Also, the Right Hand Side

$RHS:3[(x-3)^2+(y-1)^2]+k\\=3[x^2-6x+9+y^2-2y+1]+k\\=3x^2-18x+27+3y^2-6y+3+k\\=3x^2+3y^2-18x-6y+30+k$

Therefore:

$3x^2-18x+3y^2-6y+62=3x^2+3y^2-18x-6y+30+k\\k=3x^2-18x+3y^2-6y+62-3x^2-3y^2+18x+6y-30\\k=3x^2-3x^2+3y^2-3y^2-18x+18x+62-30\\k=32$

7 0

3 years ago

A collection of nickels and quarters is worth $2.85. There are three more nickels and quarters. How many nickels and quarters ar

sweet-ann [11.9K]

The collection would have twelve nickels and nine quarters.

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3 years ago

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Which is the same as moving the decimal point 3 places to the left in a decimal number

Gekata [30.6K]

The answer would be B: Dividing the number by 1000

Every time you move the decimal, add a zero. Since the decimal is moved three times, there are three zeroes. When you move left, the number is getting smaller so it is division.

4 0

3 years ago

Read 2 more answers