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STALIN [3.7K]
2 years ago
8

Is anyone able to figure this out, I can't do this

Mathematics
2 answers:
Bond [772]2 years ago
6 0
The answer to your equation is C
katrin [286]2 years ago
5 0

Answer:

C. √2 - 1

Step-by-step explanation:

If we draw a square from the center of the large circle to the center of one of the small circles, we can see that the sides of the square are equal to the radius of the small circle (see attached diagram)

Let r = the radius of the small circle

Using Pythagoras' Theorem a^2+b^2=c^2

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

to find the diagonal of the square:

\implies r^2 + r^2 = c^2

\implies 2r^2 = c^2

\implies c=\sqrt{2r^2}

So the diagonal of the square = \sqrt{2r^2}

We are told that the radius of the large circle is 1:

⇒ Diagonal of square + r = 1

\implies \sqrt{2r^2}+r=1

\implies \sqrt{2r^2}=1-r

\implies 2r^2=(1-r)^2

\implies 2r^2=1-2r+r^2

\implies r^2+2r-1=0

Using the quadratic formula to calculate r:

\implies r=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}

\implies r=\dfrac{-2\pm\sqrt{2^2-4(1)(-1)}}{2(1)}

\implies r=\dfrac{-2\pm\sqrt{8}}{2}

\implies r=-1\pm\sqrt{2}

As distance is positive, r=-1+\sqrt{2}=\sqrt{2}-1  only

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AXYZ is in Quadrant 1. It is rotated 90° counterclockwise around the origin.
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Answer:

Quad 1

Step-by-step explanation:

AXYZ is in the 2nd quad bc of the rotation, then goes back to 1st quad bc of reflection (y axis). After this, the translation doesn't affect the movement of quadrants.  A""X""Y""Z"' lands in quadrant 1.

4 0
2 years ago
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Which set of points represents equivalent ratios and would follow the same pattern on a graph?
Paladinen [302]
(2,4), (4,8), (3,6), (5,10) because they’re all ratios of 1:2
8 0
3 years ago
HELP ASAP PLS AHHHHHH
Arada [10]

Answer:

23 tables were used that day at lunch.

Step-by-step explanation:

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3 0
2 years ago
Another one please help
n200080 [17]
-- The area of the long skinny piece on top is (6 x 33) = 198

-- The length of the dotted line between the top and bottom pieces is (33-21) = 12

-- The area of the bottom  piece is (12 x 15) = 180

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6 0
3 years ago
8. Solve using any method.<br> 3y – 3 = 3x<br> -3x + 3y = -57
Ksivusya [100]

Answer:

No Solutions.

Step-by-step explanation:

I will solve your system by substitution.

3y−3=3x; −3x+3y=−57

Step: Solve 3y−3=3x for y:

3y−3+3=3x+3 (Add 3 to both sides)

3y=3x+3

(3y/3=3x+3)/3

(Divide both sides by 3)

y=x+1

Step: Substitute x+1 for y in −3x+3y=−57:

−3x+3y=−57

−3x+3(x+1)=−57

3=−57 (Simplify both sides of the equation)

3+(−3)=−57+(−3) (Add -3 to both sides)

0=−60

5 0
2 years ago
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