Negative 12 minus 4

Answers

Answer 1

Answer: -12-4
Subtracting negative numbers is like adding the opposite.
s0 -12+-4, that equals. -16

Answer 2

Answer: -12-4 = -12 + -4
-12-4 = -16

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The equation D=13/v shows that the density of a particular substance equals a mass of 13 grams divided by the volume of the substance. What happens to the density as the volume approaches 0?The density approaches infinity.
The density approaches 0.
The density approaches 1.
The density approaches 13.

Answers

D = 13/v

What happens to the density as the volume approaches 0?

The density approaches 13.

Assume : V = 3 ; V = 2 ; V = 1

D = 13/3 = 4.33
D = 13/2 = 6.50
D = 13/1 = 13

Answer:

Option A is correct

The density approaches infinity.

Step-by-step explanation:

Given the equation:

$D = (13)/(v)$ ....[1]

where,

D is density of a particular substance .

v is the volume of the substance.

We have to find What happens to the density as the volume approaches 0.

As the volume approaches to 0

⇒ $v \rightarrow 0$

[1] ⇒

$D \rightarrow \infty$

⇒The density approaches infinity.

Therefore, the density as the volume approaches 0 is, infinity.

A normal window is constructed by adjoining a semicircle to the top of an ordinary rectangular window, (see figure ) The perimeter of the window is 12 feet. what dimensions will produce a window of maximum area? (Round you answers to two decimal places ) what is the width x= what is the length y.?(Question2) write the function in the form f(×) = ×^3- 6×^2- 15×+9, k = -2.
f (×)=?

Answers

Let's find the perimeter of the window.

The bottom side is $x$ . The left and right sides make $2y$ .
The perimeter of a circle is $2\pi r$ , so the perimeter of a semicircle must be $\pi r$ , The radius is $\frac{1}2x$ , so that gives $\frac{1}2\pi x$ for the curve. All of that is equal to 12.

$x+2y+\frac{1}2\pi x=12$

We only want to use one variable to create the area formula, so let's solve for $y$ .

$2y=12-x-\frac{1}2\pi x$

$y=6-\frac{1}2x-\frac{1}4\pi x$

Now that we have a value for $y$ in terms of $x$ , we can find the area in terms of $x$ .

The area of the rectangle is going to be $xy$ , which then becomes

$A_r=x(6-\frac{1}2x-\frac{1}4\pi x$

$A_r=6x-\frac{1}2x^2-\frac{1}4\pi x^2$

The area of the semicircle is going to be $\frac{1}2\pi r^2$ .

Since $r=\frac{1}2x$ , $A_(sc)=\frac{1}2\pi (\frac{1}2x)^2$ .

$A_(sc)=\frac{1}2\pi \frac{1}4x^2$

$A_(sc)=\frac{1}8\pi x^2$

Now let's add the areas of the rectangle and semicircle.

$A=A_r+A_(sc)$

$A=6x-\frac{1}2x^2-\frac{1}4\pi x^2+\frac{1}8\pi x^2$

$A=6x-\frac{1}2x^2-\frac{1}8\pi x^2$

If you wanted to factor out $\frac{1}8$ like you did, this would become

$\boxed{A(x)=\frac{1}8(48x=4x^2-\pi x^2)}$

Now what we want to do is find what $x$ is when $A$ is at its highest point, Once we have the value for $x$ we can also find the value for $y$ , of course.

Let's put our equation in the general form of a quadratic.

$A(x)=(-\frac{1}2-\frac{1}8\pi )x^2+6x$

Now we can use the vertex formula $x=(-b)/(2a)$ .
( $a$ and $b$ refer to $ax^2+bx+c$ .)

$x=\frac{-6}{2(-\frac{1}2-\frac{1}8\pi)}$

$x=\frac{-6}{-\frac{1}4\pi -1}$

$x=(-24)/(-\pi -4)$

$\boxed{x=(24)/(\pi +4)}$

Now let's plug that in for $y=6-\frac{1}2x-\frac{1}4\pi x$ .

Since our final answers are in decimal form and not exact form, we can make our lives a little easier here and just use $x\approx3.36059492$ .

$y\approx6-\frac{1}2(3.36059492)-\frac{1}4\pi(3.36059492)$

$y\approx6-(1.68029746+2.63940507809)$

$\boxed{y\approx1.68029746191}$

Let's take our answers for $x$ and $y$ and round to 2 decimal places.

$\boxed{x\approx 3.36\ ft}$

$\boxed{y\approx 1.68\ ft}$

What is the difference between points a (1,2) and b (9,17)

Answers

Answer:

Step-by-step explanation:

-distance formula: $d = √((x_2 - x_1)^2 + (y_2-y_1)^2)$

(1,2) is ( $x_(1) , y_(1)$ ) respectively

(9,17) is $x_(2) , y_(2)$ respectively

-plug in the values to the formula

$\sqrt (9-1)^(2) +(17-2)^(2) \n\sqrt 8^(2) +15^2\n\sqrt 64 + 225\n\sqrt 289\n\n17$

Find the perimeter of the right triangle. If necessary, round to the nearest tenth

Answers

Answer:

12 yards

Step-by-step explanation:

Your welcome.

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Round 5.91 to nearest whole number

Answers

The nearest whole number would be 6. Because if you round 5.91 you are using the 9 and that will make the 5 a 6. and the rest of the numbers are no longer there or replaced with 0s

Help please. what does x equal.

Answers

The answer would be 53

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