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3 years ago

What common denominator goes to 16

Mathematics

1 answer:

Fed [463]3 years ago

4 0

$\left[\begin{array}{ccc}Your\;answer\;is\;48\end{array}\right]$

<u>Explanation</u>

Find the Least Common Multiple of the denominators (which is called the Least Common Denominator).

Change each fraction (using equivalent fractions) to make their denominators the same as the least common denominator.

Then add (or subtract) the fractions, as we wish!

<u>Credit to mathisfun.com!</u>

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Simple answers please

charle [14.2K]

Answer:

A'(4, -4)
B'(0, -3)
C'(2, -1)
D'(3, -2)

Step-by-step explanation:

The coordinate transformation for a 270° clockwise rotation is the same as for a 90° counterclockwise rotation:

(x, y) ⇒ (-y, x)

The rotated points are ...

A(-4, -4) ⇒ A'(4, -4)

B(-3, 0) ⇒ B'(0, -3)

C(-1, -2) ⇒ C'(2, -1)

D(-2, -3) ⇒ D'(3, -2)

_____

<em>Additional comment</em>

To derive and/or remember these transformations, it might be useful to consider where a point came from when it ends up on the x- or y-axis.

A point must have come from the -y axis if rotating it 270° CW makes it end up on the +x-axis. A point must have come from the x-axis if rotating it 270° makes it end up on the +y axis. That is why we write ...

(x, y) ⇒ (-y, x) . . . . . . the new x came from -y; the new y came from x

4 0

2 years ago

Find an nth-degree polynomial function<br> n= 3;<br> - 2 and 6 + 2 i are zeros;<br> f(-1)= 53

Bas_tet [7]

Answer:

Find an nth-degree polynomial function.

Step-by-step explanation:

n= 3;

- 2 and 6 + 2 i are zeros;

f(-1)= 53

8 0

3 years ago

Given f (x) = 2x² +1evaluate f (-1).

soldi70 [24.7K]

Answer:

Step-by-step explanation:

f(x) = 2x^2 + 1

f(-1) means that wherever you see an x on the right hand side, you substitute -1.

f(-1) = 2(-1)^2 + 1 = 2 + 1 = 3

8 0

2 years ago

Read 2 more answers

during a softball game kay hit a fly ball the function f(x) = -16t^2 + 64t + 4 describes the height of the softball in feet. mak

STatiana [176]

<h2>Hello!</h2>

The graph is attached.

To graph a parabola we need to know the following:

- If the parabola is open upwards or downwards

- They axis intercepts (if they exist)

- The vertex position (point)

We are given the function:

$f(t)=-16t^{2}+64t+4$

Where,

$a=-16\\b=64\\c=4$

For this case, the coefficient of the quadratic term (a) is negative, it means that the parabola opens downwards.

Finding the axis interception points:

Making the function equal to 0, we can find the x-axis (t) intercepts, but since the equation is a function of the time, we will only consider the positive values, so:

$f(t)=-16t^{2}+64t+4\\0=-16t^{2}+64t+4\\-16t^{2}+64t+4=0$

Using the quadratic equation:

$\frac{-b+-\sqrt{b^{2}-4ac } }{2a}=\frac{-64+-\sqrt{64^{2}-4*-16*4} }{2*-16}\\\\\frac{-64+-\sqrt{64^{2}-4*-16*4} }{2*-16}=\frac{-64+-\sqrt{4096+256} }{-32}\\\\\frac{-64+-\sqrt{4096+256} }{-32}=\frac{-64+-(65.96) }{-32}\\\\t1=\frac{-64+(65.96) }{-32}=-0.06\\\\t2=\frac{-64-(65.96) }{-32}=4.0615$

So, at t=4.0615 the height of the softball will be 0.

Since we will work only with positive values of "x", since we are working with a function of time:

Let's start from "t" equals to 0 to "t" equals to 4.0615.

So, evaluating we have:

$f(0)=-16(0)^{2}+64(0)+4=4\\\\f(1)=-16(1)^{2}+64(1)+4=52\\\\f(2)=-16(2)^{2}+64(2)+4=68\\\\f(3)=-16(3)^{2}+64(3)+4=52\\\\f(4.061)=-16(4.0615)^{2}+64(4.0615)+4=0.0034=0$

Finally, we can conclude that:

- The softball reach its maximum height at t equals to 2. (68 feet)

- The softball hits the ground at t equals to 4.0615 (0 feet)

- At t equals to 0, the height of the softball is equal to 4 feet.

See the attached image for the graphic.

Have a nice day!

3 0

3 years ago

What two decimals are equivalent to 3.300

LenKa [72]

Answer:

3,3 and 3,30

Step-by-step explanation:

No matter how many zeros you wax on or wane off, you will still have equivalent values.

I am joyous to assist you anytime.

6 0

3 years ago