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3 years ago

List down three angles formed when a transversal intersects the two lines

Mathematics

1 answer:

aleksley [76]3 years ago

8 0

Answer:

The intersections of a transversal with two lines create various types of pairs of angles: consecutive interior angles, consecutive exterior angles, corresponding angles, and alternate angles.

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According to a poll, 80% of California adults (403 out of 506 surveyed) feel that education is one of the top issues facing Cali

fiasKO [112]

f(h(x))= 2x -21

Step-by-step explanation:

f(x)= x^3 - 6

h(x)=\sqrt[3]{2x-15}

WE need to find f(h(x)), use composition of functions

Plug in h(x)

f(h(x))=f(\sqrt[3]{2x-15})

Now we plug in f(x) in f(x)

f(h(x))=f(\sqrt[3]{2x-15})=(\sqrt[3]{2x-15})^3 - 6

cube and cube root will get cancelled

f(h(x))= 2x-15 -6= 2 x-21

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3 years ago

What is the equation of a line that passes through the point(3,-8)and has a slope of 0?

hram777 [196]

Answer: y=-8

Step-by-step explanation:

If the slope is zero that means that the line does not go up (or have any rise) and therefore must be a horizontal line. Since it passes through the point (3,-8), the equation has to be y=-8.

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2 years ago

Ella purchased a game that was on sale for 12% off. The sales tax in her county is 6%. Let y represent the original price of the

egoroff_w [7]

Answer: what was the original price?

Step-by-step explanation:

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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.

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3 years ago

A magazine ad states that 4 out of 7 doctors recommend Flash toothpaste. if 1400 doctors were surveyed, how many doctors recomme

Paladinen [302]

Answer:

The number of doctors recommended flash toothpaste 800.

Step-by-step explanation:

Given:

A magazine ad states that 4 out of 7 doctors recommend Flash toothpaste.

Now, to find the numbers of doctors recommended flash toothpaste if 1400 doctors were surveyed.

Let the number of doctors recommended be $x$ .