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3 years ago

Approximate the value of the square root of 110 to the nearest hundredth

Mathematics

1 answer:

DaniilM [7]3 years ago

3 0

Answer:

10.4900

Step-by-step explanation:

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Solve square root of x + square root of x+2 = 2

andrew-mc [135]

The value of x is $\frac{1}{4}$

Step-by-step explanation:

Given:

$\sqrt{x} + \sqrt{x + 2} = 2$

Rearranging the radical on left side,

$\sqrt{x + 2} = 2 - \sqrt{x}$

Power on both sides,

$(\sqrt{x + 2})^{2} = (2 - \sqrt{x})^{2}$

Simplifying the left,

$x + 2 = (2 - \sqrt{x} )^{2}$

For the RHS equation, use the property of (a-b)² = (a²-2ab+b²),

$= > x + 2 = {2}^{2} - (2 \times 2 \sqrt{x}) + ( \sqrt{x})^{2}$

Now calculating its powers,

$= > x + 2 = 4 - 4\sqrt{x} + x$

Now sending -4√x to the LHS (left side), its sign becomes plus (+),

$= > 4 \sqrt{x} = 4 + x - x - 2$

Now the +x and -x will be cancelled,

$= > 4 \sqrt{x} = 4 - 2$

$= > 4 \sqrt{x} = 2$

Bringing 4 to the right side, it becomes the denominator,

$= > \sqrt{x} = \frac{2}{4}$

$= > \sqrt{x} = \frac{1}{4}$

Now powering both sides,

$= > ( \sqrt{x})^{2} = ( \frac{1}{2})^{2}$

$= > x = \frac{1}{4}$

4 0

3 years ago

When a measurement in inches is converted to centimeters, will the number of centimeters be grater or less than the number of in

gladu [14]

Answer:

A centimeter is smaller than an inch, so a given length will have more centimeters than inches. This alone shows you that the NUMBER of cm units will always be greater than the number of inches, for a given measurement.

4 0

3 years ago

F(x)=-2x²+x-5 Find f(-6)

FinnZ [79.3K]

Answer:

-83

Step-by-step explanation:

To find f(-6), simply substitute -6 for x in -2x²+x-5:

$\displaystyle-2x^2+x-5\vert_{x=-6}\\\implies-2(36)-6-5=\boxed{-83}$

7 0

2 years ago

Whst is the remainder when f(x)=x^3+3x^2-10x-4 is diveded by x-3

Vesnalui [34]

The polynomial remainder theorem allows us to calculate the remainder when a polynomial is divided by a linear polynomial:
The remainder of f(x) divided by (x-k) equals f(k).

Thus
f(x)=x^3+3x^2-10x-4 divided by x-3
gives a remainder of
f(3)=27+3(9)-10(3)-4=27+27-30-4=20
Therefore the remainder required is 20.

6 0

3 years ago

The point (3, 18) is on the parabola y =

liberstina [14]

Answer:

$y = {ax}^{2} \\ 18 = (a \times {3}^{2} ) \\ 18 = 9a \\ a = 2$

8 0

3 years ago