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raketka [301]
3 years ago
10

What is the square root of 64y16

Mathematics
2 answers:
valina [46]3 years ago
8 0
The answer to the square root of 64y16 is 8y8.
erica [24]3 years ago
4 0

Answer:

Step-by-step explanation:

The idea here is to "match" the exponent on the radicands (the number/variables under the radical sign) to the index (the little number that sits in the "arm" of the radical sign).  Your problem looks like this:

\sqrt[2]{64y^{16}}

Our index is a 2.  If we could rewrite both the 64 and the y^16 with bases to the power of 2 (that's why I say to "match" the exponent to the index), we could pull out the base.  For example,

\sqrt[2]{x^2}=x because the power is a 2 and so is the index, so we pull out the base of x.

Our rewrite would look like this:

\sqrt[2]{8^2(y^8)^2} (remember that power to power on a base means you multiply the exponents so 8 * 2 = 16).

The power on the 8 is a 2 which matches our index of 2 so we will pull out the 8; the power on the y^8 is a 2 which also matches our index of 2 so we will pull out the y^8.  The simplification of this is

8y^8

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A line passes through the points (2,-4) and (6,10). What is the equation of the line?
deff fn [24]

Answer:

y = \frac{7}{2} x - 11

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (2, - 4) and (x₂, y₂ ) = (6, 10)

m = \frac{10+4}{6-2} = \frac{14}{4} = \frac{7}{2} , thus

y = \frac{7}{2} x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (2, - 4) , then

- 4 = 7 + c ⇒ c = - 4 - 7 = - 11

y = \frac{7}{2} x - 11 ← equation of line

7 0
3 years ago
..Urgent.. 600 students attend Ridgewood Junior High School. 10% of students bring their lunch to school everyday. How many stud
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Answer:

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Step-by-step explanation:

Given:

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Computation:

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well, the triangle is an isosceles, so it twin sides, and the twin sides make twin angles, as we see by the tickmarks on A and C, meaning AB = BC.

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Step-by-step explanation:

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