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Nesterboy [21]
3 years ago
5

NIGEL is looking to buy a TV. The space that NIGEL has available for a TV is 60 inches wide and 50 inches tall. A TV's size is a

dvertised by its diagonal length.
To the nearest whole inch, what is the maximum TV size that NIGEL can buy?
Mathematics
1 answer:
Fed [463]3 years ago
3 0

Answer:

78 inches

Step-by-step explanation:

Well if we are assuming that the 60 inches and 50 inches are straight then we can use the Pythagorean theorem to do a^2 + b^2 = c^2, so  so a=60 and b=50. so we do that we get 6100, and if we find the square root of that it will be about 78.1024, and that rounded is 78.

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Can someone please explain?
AlladinOne [14]
<h2>Hello!</h2>

The answer is:

The correct option is the first option:  

y=-4x+64

<h2>Why?</h2>

To write the equation of the line in slope-interception  form we need to extract all the information that we need from the graphic.

We must remember that the slope-interception form of the lines is:

y=mx+b

Where,

y, is the function

m, is the slope of the line

x, is the variable

b, is the y-axis intercept

We can find the slope using the following formula:

m=\frac{ChangeInY}{ChangeInX}

Which is for this case:

m=\frac{64}{16}=4

As we can see from the graphic, the line is decresing, so the sign of the slope "m" will be negative, so:

m=-4

We can find the value of "b" seeing where the line intercepts the y-axis.

As we can see it intercept the y-axis at:  y=64

Then, now that we already know the value of "m" and "b", we can write the equation of the line:

y=mx+b=-4x+64\\y=-4x+64

So, the correct option is the first option:

y=-4x+64

Have a nice day!

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