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san4es73 [151]
2 years ago
12

25(3x-4y)^2-40(9x^2-16y^2)+16(3x+4y)^2

Mathematics
1 answer:
Rama09 [41]2 years ago
6 0
Work shown above! Answer above as well

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If f(x)=4(3x-5), find f^-1(x)
Margaret [11]

Answer:

f^-1(x) = (x+20) / 12

Step-by-step explanation:

f(x) = 4(3x-5)

Let y be the image of f.

y = 4(3x-5)

y = 12x-20

y+20 = 12x

x = (y+20) / 12

f^-1(y) = (y+20) / 12, so

f^-1(x) = (x+20) / 12

3 0
2 years ago
Help please ASAP thank you
jonny [76]

<u>Question 1</u>

If we let FE=x, then DE=x-5.

Also, as \overline{DF} bisects \overline{BC}, this means BE=EC=6.

Thus, by the intersecting chords theorem,

6(6)=x(x-5)\\\\36=x^2 - 5x\\\\x^2 - 5x-36=0\\\\(x-9)(x+4)=0\\\\x=-4, 9

However, as distance must be positive, we only consider the positive case, meaning FE=9

<u>Question 2</u>

If we let CE=x, then because AB bisects CD, CE=ED=x.

We also know that since FB=17, the radius of the circle is 17. So, this means that the diameter is 34, and as AE=2, thus means EB=32.

By the intersecting chords theorem,

2(32)=x^2\\\\64=x^2\\\\x=-8, 8

However, as distance must be positive, we only consider the positive case, meaning CE=8

4 0
2 years ago
2
melisa1 [442]

Answer:

\boxed{\sf 10}

Step-by-step explanation:

The additive number of any number is the number when added to the number gives a result of zero.

So, if we add 10 to -10 we get a result of zero.

=> -10+10

=> Zero

5 0
2 years ago
The standard deviation of a probability distribution is a: A. measure of variability of the distribution B. measure of skewness
GuDViN [60]

Answer:

The standard deviation of a probability distribution is a measure of variability of the distribution.

Step-by-step explanation:

We have been given an incomplete statement. We are asked to complete the given statement.

We know that standard deviation is measure of variability or dispersion of a set of data values.

It tells up how much a data point is spread out from the average or mean of the data set.

Therefore, option A is the correct choice.

4 0
3 years ago
16. Find the point that partitions AB in the ratio 1:3 from A to B if A(-4,-7) and B (12,5).
Feliz [49]

Answer:

Step-by-step explanation:

8 0
2 years ago
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