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4 years ago

5

Arianna correctly simplified an expression. When she substituted x=2into the simplified expression, the value was –4. Which coul

d be Arianna’s original expression?

2 answers:

Nata [24]4 years ago

7 0

$x - 6$
$= - 4$

liberstina [14]4 years ago

6 0

Answer:

$\frac{1}{6}(-10x-4)$

Step-by-step explanation:

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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

3 years ago

Read 2 more answers

Are carnivores consumers

jasenka [17]

Answer:

Yes, herbivores, carnivores, and omnivores are consumers.

Hope this helps :)

6 0

3 years ago

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Given the points A(3, 1), B(6, y) and C(12, -2) find the value(s) of y if…

Musya8 [376]

Answer:

B. The lines AB and BC are perpendicular.

Step-by-step explanation:

If all the points are doubled on the x-axis, they are perpendicular.

hope this helps.

8 0

3 years ago

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What inequality does the number line graph<br> represent?

Andrew [12]

Answer:

-4

-4 and so on

4 0

3 years ago

How do I solve −6 + 9(8 − 2b) using distributive property or combining like terms.

Levart [38]

Answer:

66-18b

Step-by-step explanation:

-6+72-18b

66-18b

solving for b

b=3.66 or 3 and 2/3

7 0

3 years ago