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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Solve the linear system of equations using the linear combination method.<br><br> {8a−4b=205a−8b=62

11Alexandr11 [23.1K]

Sorry I am a little late...

a = -2

b = -9

Here is how to solve the problem.

First thing I did was multiply the first equation by -2 so that we can eliminate the the b. After you multiply it by -2, your new equation is -16a + 8b = -40.

You leave the second equation alone and all you do is combine like terms. So -16a+5a is -11. And you eliminate the b. Then you're going to do -40+62 which is 22. So it's -11a=22 and then you have to solve for a. What I did was I multiplied the whole thing by minus to turn the a positive. So then it's 11a=-22. Pretty easy, the final step is to simplify. -22/11 is -2. ;D

So there you have your first answer.

a = -2

Now we're going to use the first answer to help us find b.

For the second equation, all you're going to do is plug in that a.

5 (-2)-8b=62

-10 - 8b = 62

Now we move the -10 to the other side...

-8b = 62 + 10

-8b = 72

Multiply the whole thing by negative once again to turn the b positive.

Now we have 8b = -72

The final step is to simplify. -72/11 = -9

b = -9

Hope this makes sense! Also I had the same question on my test and I got it right. :)