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lesya [120]
3 years ago
10

12 equals x times the square root of 2

Mathematics
1 answer:
garik1379 [7]3 years ago
4 0

Answer:

  x = 6√2

Step-by-step explanation:

Divide by the coefficient of x, then rationalize the denominator.

  12=x\sqrt{2} \qquad\text{given}\\\\\dfrac{12}{\sqrt{2}}=x \qquad\text{divide by $\sqrt{2}$}\\\\\dfrac{12}{\sqrt{2}}\cdot\dfrac{\sqrt{2}}{\sqrt{2}}=x \qquad\text{rationalize the denominator}\\\\\boxed{x=6\sqrt{2}} \qquad\text{simplify}

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SOMEONE HELPPP PLEASE!! Complete the table to represent the number of seashells in the collection after the first four summers
Mice21 [21]

Answer:

6 number of seashells for 1 Summer. 21 number of seashells for two summers. 36 number of seashells for three summers. 51 number of seashells for 4 summers.

Step-by-step explanation:

15 substituted in for f and x is the the number of summers.

4 0
3 years ago
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poizon [28]
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Write the equation of the circle with the given graph.
lara [203]

By identifying the radius and the center, we concluded that the equation is something like:

(x - 2)^2 + (y - 1.5)^2 = 1.8^2

<h3></h3><h3>How to write the equation of the circle?</h3>

For a circle centered on the point (a, b) with a radius R, the equation is:

(x - a)^2 + (y - b)^2 = R^2

So first we need to identify the center, we can see that it is: (2, 1.5)

And the radius is the distance between the center and the edge.

R  = 1.8 (measured with a ruler, respecting the notation of the graph).

Then the equation of the circle is something like:

(x - 2)^2 + (y - 1.5)^2 = 1.8^2

If you want to learn more about circles:

brainly.com/question/1559324

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7 0
2 years ago
Can someone solve and explain this question plz​
oee [108]

firstly let's convert the mixed fraction to improper fraction, then hmmm let's see we have two denominators, 5 and 3, and their LCD will simply be 15, so we'll multiply both sides by that LCD to do away with the denominators, let's proceed,

\bf \stackrel{mixed}{2\frac{1}{3}}\implies \cfrac{2\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{7}{3}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{z}{5}-4=\cfrac{7}{3}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{15}}{15\left( \cfrac{z}{5}-4 \right)=15\left( \cfrac{7}{3} \right)}\implies 3z-60=35 \\\\\\ 3z=95\implies z=\cfrac{95}{3}\implies z = 31\frac{2}{3}

4 0
3 years ago
I'm confused on this help ??
nika2105 [10]
(2^8 x 3^-5 x 6^0) x [(3^-2/2^3) x 2^28] = x
(256 x .004 x 1) x [(.111/8) x 268,435,456] = x
(1.024 x 1) x .(0138 x 268,435,456) = x
1.024 x (.0138 x 268,435,456) = x
1.024 x 3,704,409.2928 = x
3,793,315.1158272 = x
Correct me if I am wrong. :)
7 0
3 years ago
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