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4 years ago

6

Find the area. Round to the nearest tenth if necessary. Thanks

1 answer:

Alona [7]4 years ago

3 0

Answer:

Area of the triangle = 32in^2

Area of rectangle = 144in^2

Area of rectangle without triangle = 112in^2

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Which of the equations below could be the equation of this parabola?

nirvana33 [79]

Answer:

$y=-4x^2$ is the equation of this parabola.

Step-by-step explanation:

Let us consider the equation

$y=-4x^2$

$\mathrm{Domain\:of\:}\:-4x^2\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:$

$\mathrm{Range\:of\:}-4x^2:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\le \:0\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:0]\end{bmatrix}$

$\mathrm{Axis\:interception\:points\:of}\:-4x^2:\quad \mathrm{X\:Intercepts}:\:\left(0,\:0\right),\:\mathrm{Y\:Intercepts}:\:\left(0,\:0\right)$

As

$\mathrm{The\:vertex\:of\:an\:up-down\:facing\:parabola\:of\:the\:form}\:y=a\left(x-m\right)\left(x-n\right)$

$\mathrm{is\:the\:average\:of\:the\:zeros}\:x_v=\frac{m+n}{2}$

$y=-4x^2$

$\mathrm{The\:parabola\:params\:are:}$

$a=-4,\:m=0,\:n=0$

$x_v=\frac{m+n}{2}$

$x_v=\frac{0+0}{2}$

$x_v=0$

$\mathrm{Plug\:in}\:\:x_v=0\:\mathrm{to\:find\:the}\:y_v\:\mathrm{value}$

$y_v=-4\cdot \:0^2$

$y_v=0$

Therefore, the parabola vertex is

$\left(0,\:0\right)$

$\mathrm{If}\:a$

$\mathrm{If}\:a>0,\:\mathrm{then\:the\:vertex\:is\:a\:minimum\:value}$

$a=-4$

$\mathrm{Maximum}\space\left(0,\:0\right)$

so,

$\mathrm{Vertex\:of}\:-4x^2:\quad \mathrm{Maximum}\space\left(0,\:0\right)$

Therefore, $y=-4x^2$ is the equation of this parabola. The graph is also attached.

7 0

3 years ago

If x^2 -8x=48 and x<0, what is the value of x+10?

dsp73

Answer:

6

Step-by-step explanation:

To calculate <em>x+10</em>, we first need to find <em>x</em>. To do this, we can use the first equation.

We are given the equation:

$x^2-8x=48$

To solve for <em>x</em>, turn one side of the equation into 0 and solve. Therefore:

$x^2-8x=48\\x^2-8x-48=0\\(x-12)(x+4)=0\\x=-4, 12$

So, the possible values for <em>x</em> are -4 and 12.

However, we are also told that <em>x<0</em>. In other words, <em>x</em> must be negative. Thus, we can remove 12. That leaves us with: <em>x=-4. </em>

So:

$x+10\\(-4)+10\\=6$

4 0

3 years ago

Read 2 more answers

the value 3 is an upper bound for the zeros of the function shown below. f(x)=-3x^3+20x^2-36x+16 True or Flase

Stels [109]

The answer to this question is false

8 0

4 years ago

Read 2 more answers

What is six less than seven times a number is equal to -20

IgorLugansk [536]

This equation in word form would be 7x -6 = -20, and the solution to that equation is x = -2

3 0

3 years ago

The diagram below shows a circular pizza with a diameter of 12 inches. The pizza is in a square box with side lengths of 14 inch

saw5 [17]

Answer:

Step-by-step explanation:

Area of box = 14^2 = 196 in^2

Radius r of pizza = 12/2 = 6

Area of pizza = πr² = 36π ≈ 113.04 in^2

5 0

3 years ago

Read 2 more answers