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alukav5142 [94]
2 years ago
9

Select the expression that is equivalent to (m2-16)

Mathematics
1 answer:
Katen [24]2 years ago
4 0
B because we’re looking at factoring perfect squares and the the square root of m^2 or 1^2 is 1 and that of 16 is 4
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3 years ago
What is the equation for the translation of x2 + y2 = 16 seven units to the right and five units up?
asambeis [7]

Answer:

  • (x − 7)2 + (y − 5)2 = 16

Step-by-step explanation:

The given circle has equation

\sf \: x^2+y^2=16x

The equation of a circle with center (h,k) and radius r units is

\sf(x-h)^2+(y-k)^2=r^2(x−h)

\sf(x-7)^2+(y-5)^2=4^2(x−7)

\sf(x-7)^2+(y-5)^2=16(x−7)

<h2>❖ Tip❖ :- </h2>

This is the equation that has its center at the origin with radius 4 units.

When this circle is translated seven units to the right and five units up, then the center of the circle will now be at (7,5).

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Step-by-step explanation:

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3 years ago
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An investment of $900 earns 6% annual interest and is compounded semi-annually. Write an equation
nalin [4]

Answer:

A=900(1+\frac{0.06}{2})^{2(t)}

Step-by-step explanation:

Lets use the compound interest formula provided to solve this:

A=P(1+\frac{r}{n} )^{nt}

<em>P = initial balance</em>

<em>r = interest rate (decimal)</em>

<em>n = number of times compounded annually</em>

<em>t = time</em>

First, change 6% into a decimal:

6% -> \frac{6}{100} -> 0.06

Since the interest is compounded semi-annually, we will use 2 for n. Lets plug in the values now and your equation will be:

A=900(1+\frac{0.06}{2})^{2(t)}

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2 years ago
An expression is shown below
Leno4ka [110]

Answer:

B) It is irrational and equal to = 4\sqrt{2}

Step-by-step explanation:

The expression, \sqrt{18} + \sqrt{2} , is an irrational expression because it contains two irrational numbers, \sqrt{18} and \sqrt{2} . Both number are not perfect square. there is no whole number that would be squared that will give you 18 nor 2.

The expression can be equals the following:

\sqrt{18} + \sqrt{2}

= \sqrt{9*2} + \sqrt{2}

= \sqrt{9}*\sqrt{2} + \sqrt{2}

= 3\sqrt{2} + \sqrt{2}

= 4\sqrt{2}

4 0
3 years ago
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