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anastassius [24]
3 years ago
8

How to find average rate of change ?

Mathematics
1 answer:
sammy [17]3 years ago
5 0
The average rate of change between two input values is the total change of the function values (output values) divided by the change in the input values.
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In a right-angled triangle, the hypotenuse is 113 and a leg is 112.
melomori [17]

Answer: 15

Step-by-step explanation: Use the formula: a^{2}+b^{2}=c^{2}

Remember c^{2} should always be the hypotenuse or the longest side.

112^{2}+b^{2}=113^{2} ---> evaluate the exponents

12544+b^{2}=12769 ----> subtract 12544 to the other side

b^{2}=225 ---> take the square root of both sides

b=15

7 0
2 years ago
What is the answer in simplest term?
Burka [1]

Answer:

3*sqrt(3x)

--------------

2x

Step-by-step explanation:

To rationalize the denominator, we need to get rid of the square root.  We need to multiply by sqrt(12x)/sqrt(12x)

9              sqrt(12x)

----------  * -----------

sqrt(12x)      sqrt(12x)

9sqrt(12x)

-----------------

12x

We can cancel  3 in the top and bottom

3sqrt(12x)

---------------

4x

We also notice that 12 is made up of 4 and 3

3sqrt(4) sqrt(3x)

---------------

4x

3sqrt(4) sqrt(3x)

----------------------

4x

3*2sqrt(3x)

--------------

4x

We can cancel a 2 in the top and bottom

3*sqrt(3x)

--------------

2x

8 0
3 years ago
Read 2 more answers
8. Find an equation in standard form for the ellipse with the vertical major axis of length 16 and minor axis of length 4
MA_775_DIABLO [31]

Hello,

If center is (0,0)

x²/a²+y²/b²=1 for a half horizontal axis of a, and a half vertical axis of b

Here

a=2 ==> a²=4

b=8 ==> b²=64

\boxed{\dfrac{x^2}{4}+ \dfrac{y^2}{64}=1}\\

3 0
2 years ago
Explain the distance formula. Then use it to calculate the distance between A(1,1) and B (7,-7)
crimeas [40]

The distance formula is given by:

d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2} }

We are given two points A and B as

A(1,1) and

B(7,-7)

so we have ,

x1 = 1 , y1=1

x2= 7 and y2=-7

Plugging these in the formula we have:

d=\sqrt{(7-1)^{2}+(-7-1)^{2} }

d=√(36+64)

d=√100

d=10

Answer: The distance between A(1,1) and B(7,-7) is 10

4 0
3 years ago
Read 2 more answers
What is the constant of proportionality for y=4.7x?
adell [148]

Answer:

4.7

Step-by-step explanation:

Given equation y=4.7x

constants of proportionality = y/x

so, y/x = 4.7

therefore, answer is 4.7

5 0
2 years ago
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