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3 years ago

For which values of x is the function y = 5 / (x-4)(x+5) not defined? Select all that apply.

1 answer:

5 0

$f(x)=\dfrac{5}{(x-4)(x+5)}\\\\(x-4)(x+5)\neq0\iff x-4\neq0\ and\ x+5=0\\\\x\neq4\ and\ x\neq-5\\\\Answer:\boxed{-5\ and\ 4}$

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The length and breadth of a rectangular field are 312m and 186m respectively; correct to the nearest metres. Between what limits

lisabon 2012 [21]

Answer:

$P \geq 1000 \; meters$

Step-by-step explanation:

<u>Given the following data;</u>

Length = 312 meters

Breadth = 186 meters

To find the perimeter of the rectangle;

Mathematically, the perimeter of a rectangle is given by the formula;

Perimeter = 2(L + W)

Perimeter = 2(312 + 186)

Perimeter = 2(498)

Perimeter = 996 meters

To the nearest meters, we have;

Perimeter = 996 ≈ 1000 meters

Let P represent the perimeter of a rectangular field.

900 < P > 1000

Therefore, $P \geq 1000 \; meters$

8 0

3 years ago

Are the triangles similar? How do you know? A. yes, by SAS B. yes, by SSS C. yes, by AA D. no

WARRIOR [948]

No, because 30.4+84.6+66=181
the sum of a triangle=180
so they are not similar.

4 0

4 years ago

Read 2 more answers

What degree of rotation is represented on this matrix

Korvikt [17]

Answer:

Option B is correct

the degree of rotation is, $-90^{\circ}$

Step-by-step explanation:

A rotation matrix is a matrix that is used to perform a rotation in Euclidean space.

To find the degree of rotation using a standard rotation matrix i.e,

$R = \begin{bmatrix}\cos \theta & -\sin \theta \\ \sin \theta & \cos \theta \end{bmatrix}$

Given the matrix: $\begin{bmatrix}0 & 1 \\ -1 & 0\end{bmatrix}$

Now, equate the given matrix with standard matrix we have;

$\begin{bmatrix}\cos \theta & -\sin \theta \\ \sin \theta & \cos \theta \end{bmatrix}$ = $\begin{bmatrix}0 & 1 \\ -1 & 0\end{bmatrix}$

On comparing we get;

$\cos \theta = 0$ and $-\sin \theta =1$

As,we know:

$\cos \theta = \cos(-\theta)$

$\sin(-\theta) = -\sin \theta$

$\cos \theta = \cos(90^{\circ}) = \cos( -90^{\circ})$

we get;

$\theta = -90^{\circ}$

and

$\sin \theta =- \sin (90^{\circ}) = \sin ( -90^{\circ})$

we get;

$\theta = -90^{\circ}$

Therefore, the degree of rotation is, $-90^{\circ}$

7 0

3 years ago

Find the product (-2)(3)

Umnica [9.8K]

Answer:

Multiply -2 with 3

Step-by-step explanation:

5 0

3 years ago

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A bottle of laundry detergent costs $4.95 per bottle. If you have a coupon for $2.00 off and your total is $7.90, how many bottl

RoseWind [281]

You bought 2 because if you add $7.90 and $2.00 the coupon you would get $9.90 so then you multiply $4.95 by 2 and you get $9.90 the exact amount we had before

8 0

3 years ago