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3 years ago

Which statement about dilation and rotation is true?

Mathematics

1 answer:

arlik [135]3 years ago

7 0

Answer:

answer choice c

Step-by-step explanation:

C. Both dilation and rotation preserve angle.

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PLEASE HELP!!!!! What is the value of x in the matrix equation below?

Brums [2.3K]

The given matrix equation is,

$1.5\left[\begin{array}{cc}x&6\\8&4\end{array}\right] +y\left[\begin{array}{cc}1&4\\3&2\end{array}\right] =\left[\begin{array}{cc}z&z\\6z&2\end{array}\right]$ .

Multiplying the matrices with the scalars, the given equation becomes,

$\left[\begin{array}{cc}1.5x&9\\12&6\end{array}\right] +\left[\begin{array}{cc}y&4y\\3y&2y\end{array}\right] =\left[\begin{array}{cc}z&z\\6z&2\end{array}\right] \\$

Adding the matrices,

$\left[\begin{array}{cc}1.5x+y&9+4y\\12+3y&6+2y\end{array}\right] =\left[\begin{array}{cc}z&z\\6z&2\end{array}\right] \\$

Matrix equality gives,

$1.5x+y=z\\ 9+4y=z\\ 12+3y=6z\\ 6+2y=2$

Solving the equations together,

$y=-2\\ 3y-1.5x=9\\ -1.5x=9+6\\ x=-10$

We can see that the equations are not consistent.

There is no solution.

3 0

2 years ago

Y = 5x + 4

Luda [366]

Answer:

Correct (1,9), (2,14)

Incorrect (1,8),(2,13)

Step-by-step explanation:

It is simple.

To find the correct values plug a x value.

For Example;

X=1

y=5(1)+4

y=5+4

y=9

so your X value is 1 and your Y value is 9

To solve for the incorrect values

Find the correct values and subtract 1 form the Y value.

4 0

2 years ago

andy is wrapping gifts for his family. he ties 25 inches of ribbon around each gift. which function gives the relationship betwe

Vaselesa [24]

The total length of the ribbon used is expressed as r and is a product of the number of gifts (g) and the length of ribbon tied in each gift. This relationship may be expressed by the equation,
r = (25) x (g)

8 0

2 years ago

National Income (NI) is the sum of the incomes that all individuals in an economy earn in the forms of wages,

Dennis_Churaev [7]

Answer:

\simeq 14.94 billion dollars

Step-by-step explanation:

During the period 1994 - 2004, the 'National Income' ,(NI) of Australia grew about 5.2% per year (measured in 2003 U. S, dollars). In 1994 , the NI of Australia was $ 4 billion.

Now,

(2020 - 1994) = 26

Assuming this rate of growth continues, the NI of Australia in the year 2020 (in billion dollars) will be,

$4 \times[\frac{(100 + 5.2)}{100}}]^{26}$