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2 years ago

Could someone answer this please?

Mathematics

2 answers:

Romashka-Z-Leto [24]2 years ago

6 0

Answer:

I think its false

Step-by-step explanation:

cuz it's not a function

Sladkaya [172]2 years ago

4 0

Answer:

I think its false

Step-by-step explanation:

I've tried every strategy there is no way there could be a function

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

katrin [286]

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

5 0

2 years ago

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Angelo earns $2,080 each month. His total deductions are 30% of his pay. How much is deducted from his pay each month

Olenka [21]

624 is how much is deducted from his pay every month

7 0

2 years ago

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What does an open dot on a number line signify?

zmey [24]

It doesn’t include the number it just stops there

7 0

3 years ago

The first decision is a choice between

pantera1 [17]

Answer:

min-mid-max-mid-min

-cosine

Step-by-step explanation:

This is the correct answer, further proof in the file attached.

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3 years ago

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Which expressions are equivalent?

White raven [17]

Answer:

option A and E

Step-by-step explanation:

Option A is equivalent because of the commutative law of addition;

(A + B) + C = A + (B + C)

option E is also correct because multiplication rule of inside the brackets.

A - ( - B - C) = A + B + C

7 0

3 years ago