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Furkat [3]
3 years ago
6

Four sizes of scaled text are shown. What is the unknown scale size?

Mathematics
2 answers:
Nesterboy [21]3 years ago
6 0
The answer is 1.067. Hope it's not too late.
Nikitich [7]3 years ago
4 0

Answer:

font size of top line will be 1.067

Step-by-step explanation:

Scale factor between 4th line text size to the 3rd line text will be

= \frac{0.937}{0.878}=1.067

Scale factor between 3rd line and second line will be = \frac{1}{0.937}=1.067

Therefore, scale factor between 2nd and 1st text size will be = \frac{x}{1}=1.067

x = 1.067

It reveals that the font size of top line will be 1.067

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If T: (x, y) → (x + 6, y + 4), then T-1: (x,y) → _____.
alexgriva [62]

T is a linear transformation from R²→R² with basis {(1,0),(0,1)}
T: (x,y)→(x+6,y+4)

A function from one vector space to another that preserves the underlying (linear) structure of each vector space is called a linear transformation.

Then the vector (1,0) goes to (1+6,4)=(7,4)=7(1,0)+4(0,1)

and the vector (0,1) goes to (6,1+4)=(6,5)=6(1,0)+5(0,1)

So, the matrix of the transformation is

\left[\begin{array}{ccc}7&6\\4&5\end{array}\right]

The inverse of the matrix is

\left[\begin{array}{ccc}\frac{5}{11}&\frac{-6}{11}\\ \\\frac{-4}{11}&\frac{7}{11}\end{array}\right]

So, the Inverse Transformation is given by

T^{-1}(x,y)=\left[\begin{array}{ccc}\frac{5}{11}&\frac{-6}{11}\\ \\\frac{-4}{11}&\frac{7}{11}\end{array}\right]\left[\begin{array}{ccc}x\\y\end{array}\right] =(\frac{5x-6y}{11}, \frac{-4x+7y}{11})

So, no option is correct. And the answer is

T^{-1}(x,y)=(\frac{5x-6y}{11}, \frac{-4x+7y}{11})

Learn more about linear transformations here-

brainly.com/question/13005179

#SPJ10

5 0
2 years ago
Anyone help please I need it
andreev551 [17]

Answer:

-10+i\sqrt{2}

Step-by-step explanation:

One is given the following expression:

\sqrt{4}-\sqrt{-98}-\sqrt{144}+\sqrt{-128}

In order to simplify and solve this problem, one must keep the following points in mind: the square root function (\sqrt{}) is a way of requesting one to find what number times itself equals the number underneath the radical sign. One must also remember the function of taking the square root of a negative number. Remember the following property: (\sqrt{-1}=i). Simplify the given equation. Factor each of the terms and rewrite the equation. Use the square root property to simplify the radicals and perform operations between them.

\sqrt{4}-\sqrt{-98}-\sqrt{144}+\sqrt{-128}

\sqrt{2*2}-\sqrt{-1*2*7*7}-\sqrt{12*12}+\sqrt{-1*2*8*8}

Take factors from out of under the radical:

\sqrt{2*2}-\sqrt{-1*2*7*7}-\sqrt{12*12}+\sqrt{-1*2*8*8}

2-7i\sqrt{2}-12+8i\sqrt{2}

Simplify,

-10+i\sqrt{2}

8 0
2 years ago
You charge $5 plus $0.75 per dog you walk at a dog shelter. You earn $14 total working on a Saturday. How many dogs did you walk
san4es73 [151]

Answer: You walked 12 dogs

Step-by-step explanation:

If you charge 0.75 per dog then we can represent that by the expression 0.75x where x is the number of dogs. If you charge $5 for the initial amount, then the whole expression will be 0.75x +5  and that has to equal the amount that you earned working on Saturday.So the equation will be

0.75x + 5 = 14   Now solve for x by first subtracting 5 from both sides

          -5     -5

0.75x = 9      Divide both sides by 0.75

 x = 12  

8 0
3 years ago
Happy Monday Everybody<br><br><br> Free 100 points no joke
alina1380 [7]

Answer:

Happy Monday to you too

Step-by-step explanation:

thx for the point

6 0
3 years ago
Read 2 more answers
What is the constant of proportionality between y and x in the graph? (WILL MARK BRAINLIST IF RIGHT!)
sweet [91]

Answer:

2

Step-by-step explanation:

4 can be divided by 2 & 2 can be divided by 2

5 0
2 years ago
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