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Lilit [14]
1 year ago
7

If a line has slope a, what is the slope of its reflection across the line y=x?Question content area bottomPart 1The slope of it

s reflection across the line y=x will be
Mathematics
1 answer:
Goshia [24]1 year ago
8 0

By definition, let m be the slope a line, then m can be calculated by the following equation:

m=\frac{y_2-y_1}{x_2-x_1}^{}

Given that (x1, y1) and (x2, y2) are known points of the line. By reflecting all the points of the line across the line y = x

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The table shows the amount of sugar needed to make lemonade. Are the quantities proportional? Explain which method you used and
Klio2033 [76]

Answer: Yes

Step-by-step explanation:

For the first sugar and servings part, 4 for sugar, 2 for servings.

The ratio for this example above it for sugars to servings it 2:1. So every 2 sugars is every 1 serving and this applies to every other of the sugars and servings in the table.

7 0
2 years ago
Read 2 more answers
a rectangular block is such that the sides of its base are of the length x cm and 3x cm. The sum of all the lengths of all its e
Xelga [282]

Answer:

15x^2 - 12x^3

Step-by-step explanation:

A rectangular block has 3 parts that play into its volume.  length, width and height.  The question gives us length and width in the form of x and 3x, so height is what's missing.

It gives us a bit more information saying the sum of its edges is 20.  We also have to ask how many lengths, widths and heights are there.  That may be a bit hard to understand, but  is you are looking at a block I could ask how many edges are vertical, just going up and down.  These would be the heights.  There are 4 total, and this goes the same for length and width, so 4*length + 4*width and 4*height = 20.  

Taking that and plugging in x for length and 3x for width (or you could do it the other way around, it doesn't matter, you get:

4*x + 4*3x + 4*height = 20

4x + 12x + 4h = 20

16x + 4h = 20

4h = 20 - 16x

h = 5 - 4x

Now we have h in terms of x, which lets us easily find the volume just knowing x.  To find the volume of a rectangular block you just multiply the length, width and height.

x*3x*(5-4x)

3x^2(5-4x)

15x^2 - 12x^3

Question doesn't give a specific value for x at all so you should be done there.  Any number you plug in for x should get you the right answer

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2 years ago
3 to the 4th power + 2.5
Marina CMI [18]

Answer:

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Step-by-step explanation:

3^4+2.5\\81+2.5\\83.5\\

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Step-by-step explanation:

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Step-by-step explanation:

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