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3 years ago

What is 1/2 + 2 1/4?

Mathematics

2 answers:

Bumek [7]3 years ago

4 0

Answer:

2.75 in decimal form

2 3/4 mixed number form

Step-by-step explanation:

ICE Princess25 [194]3 years ago

4 0

Answer:

2 3/4

Step-by-step explanation:

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V 144 belongs to the set of integers. O True O False

strojnjashka [21]

Answer:

True

Step-by-step explanation:

$\sqrt{144}$

is a rational number.

It is also a perfect square which means it is an integer.

<h3>Hope this Helps!</h3>

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3 years ago

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What is x/4+10=16 Please answer

lana [24]

X=2..............................

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3 years ago

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How did I get a 2 here (simplifying ratios)

PilotLPTM [1.2K]

Answer:

$\frac{2x {}^{2} + 14x + 24 }{4 {x}^{2} + 4x - 48 } = \frac{x + 4}{2(x - 2)}$

Step-by-step explanation:

Please see attached picture for full solution.

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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

The solution to 13x = 78 is x = ___. (Only input whole number)

andrew11 [14]

X=6 because 6x13 =78

3 0

3 years ago

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