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3 years ago

Create a word problem that could be used to describe 8x=48

Mathematics

1 answer:

enyata [817]3 years ago

7 0

Answer:

Alex goes to the shop and buys 4 times a number bananas (X). When he counts how many bananas he has he counts 48. How much is the number x?

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The line represented by the equation y=-3/2x is translated up 3 units.

kati45 [8]

Answer:

(0, 3)

Step-by-step explanation:

In slope intercept form, the y-intercept is the "b" or, in an example:

y = mx + b

- m is the slope

- b is the y-intercept

In our first equation, the b is 0 (y=-3/2x, there is no +/- b, so it is 0). If we add positive 3 (up 3 units) then the y-intercept will be 3. This, in a point, is shown with (0, 3) because the y-intercept is where the line hits the y-axis when x is 0.

Have a nice day!

I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

8 0

2 years ago

Which of the following properties was used in the expression shown here?

ra1l [238]

Distributive property

5 0

3 years ago

Just give me answer

atroni [7]

By applying the equation of dilation, the coordinates of the vertices of the triangle ABC are A'(x, y) = (-12, 0), B'(x, y) = (0, -9) and C'(x, y) = (-12, -9).

<h3>How to find the image of a triangle</h3>

A dilation is a type of rigid transformation. Rigid transformations are transformations applied to geometric loci such that Euclidean distances are conserved.

There is a triangle and its image must be a triangle, the new triangle is found by transforming the three vertices of the prior one following this formula:

A'(x, y) = P(x, y) + k · [A(x, y) - P(x, y)] (1)

Where:

P(x, y) - Center of reflection.
A(x, y) - Original vertex
A'(x, y) - New vertex
k - Dilation factor

If we know that P(x, y) = (0, 0), A(x, y) = (-4, 0), B(x, y) = (0, -3) and C(x, y) = (-4, -3), then the new vertices of the triangle are, respectively:

Point A

A'(x, y) = (0, 0) + 3 · [(-4, 0) - (0, 0)]

A'(x, y) = (-12, 0)

Point B

B'(x, y) = (0, 0) + 3 · [(0, -3) - (0, 0)]

B'(x, y) = (0, -9)

Point C

C'(x, y) = (0, 0) + 3 · [(-4, -3) - (0, 0)]

C'(x, y) = (-12, -9)

Lastly, we draw the two triangles, which are presented in the image attached below.

To learn more on dilations: brainly.com/question/13176891

#SPJ1

6 0

1 year ago

Read 2 more answers

What is the ratio of sharpened pencils to unsharpened pencils

KatRina [158]

If 20 pencils are sharpened, and there was 36 to begin with, the answer would be 4:5

8 0

3 years ago

) a, p and d are n×n matrices. check the true statements below:

BigorU [14]

A. False. Consider the identity matrix, which is diagonalizable (it's already diagonal) but all its eigenvalues are the same (1).

b. True. Suppose $\mathbf P$ is the matrix of the eigenvectors of $\mathbf A$ , and $\mathbf D$ is the diagonal matrix of the eigenvalues of $\mathbf A$ :

$\mathbf P=\begin{bmatrix}\mathbf v_1&\cdots&\mathbf v_n\end{bmatrix}$

$\mathbf D=\begin{bmatrix}\lambda_1&&\\&\ddots&\\&&\lambda_n\end{bmatrix}$

Then

$\mathbf{AP}=\begin{bmatrix}\mathbf{Av}_1&\cdots&\mathbf{Av}_n\end{bmatrix}=\begin{bmatrix}\lambda_1\mathbf v_1&\cdots&\lambda_n\mathbf v_n\end{bmatrix}=\mathbf{PD}$

In other words, the columns of $\mathbf{AP}$ are $\mathbf{Av}_i$ , which are identically $\lambda_i\mathbf v_i$ , and these are the columns of $\mathbf{PD}$ .

c. False. A counterexample is the matrix

$\begin{bmatrix}1&1\\0&1\end{bmatrix}$

which is nonsingular, but it has only one eigenvalue.

d. False. Consider the matrix

$\begin{bmatrix}0&1\\0&0\end{bmatrix}$

with eigenvalue $\lambda=0$ and eigenvector $\begin{bmatrix}k&0\end{bmatrix}^\top$ , where $k\in\mathbb R$ . But the matrix can't be diagonalized.

7 0

3 years ago