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Softa [21]
2 years ago
9

Find the slope of the line through each pair of points (11, 18) (20, 12)

Mathematics
1 answer:
JulijaS [17]2 years ago
3 0

Answer:

2/3

Step-by-step explanation:

We can find the slope by using the slope formula

m = ( y2-y1)/(x2-x1)

   = ( 12-18)/(20 -11)

   = -6/-9

 = 2/3

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Find an equation for the line below.
tekilochka [14]

Answer:

y=3/4x-2.5

Step-by-step explanation:

This is a straight line, so it would follow the equation y=mx+b. You can find the b value by looking at the y-intercept of the equation (where x=0), which in this case would be -2.5. Then, you can find the m value by comparing the two given points' locations. Slope is rise over run, so first you can find the rise. The y value moves from y=-4 to y=2, which is a value of 6 units upward. The points move from x=-2 to x=6, which is a distance of 8 units. Finally, put it into the rise over run pattern, giving you 6/8, which simplified is 3/4. This is your m value. Finally, plug in your two variable values into y=mx+b and you'll get y=3/4x-2.5.

7 0
3 years ago
Explain how the Quotient of Powers was used to simplify this expression. 2 to the fifth power, over 8 = 22 By finding the quotie
astraxan [27]

Answer:

 we can do it by simplifying 8 to 2^3 to make both powers base two, and subtracting the exponents.

Step-by-step explanation:

We have been given the expression  \frac{2^5}{8}=2^2

8 can be rewritten as 2^3

Hence, the given expression becomes

\frac{2^5}{2^3}=2^2

After subtracting the exponents on left hand side of the equation we get:

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we can do it by simplifying 8 to 2^3 to make both powers base two, and subtracting the exponents.

6 0
3 years ago
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7 0
3 years ago
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Answer:

\large\boxed{12\sqrt2}

Step-by-step explanation:

<em>a</em> - side of  square

The formula of a perimeter of a square:

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12=a\to a=12

You can use the Pythagorean theorem, and calculate the length of a diagonal or use the formula of a diagonal of a square:

d=a\sqrt2

Substitute:

d=12\sqrt2

7 0
3 years ago
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