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enyata [817]
3 years ago
10

Find the inverse for me please

Mathematics
1 answer:
Mrac [35]3 years ago
4 0

Answer:

<em>(C). </em>f^{-1}<em> = ( x + 4 )² ; x ≥ 0</em>

Step-by-step explanation:

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Geometry help! Please prove the following is a square with full explanation, I'm really lost.
Hoochie [10]

We have to show that this is a square, meaning all the sides are perpendicular and the same distance.  

A(3,4), B(2,-2), C(-4,-1), D(-3,5)

For each side we calculate the squared distance and the slope.  We don't have to bother to take the square root.  We'll subtract the points first because that difference, called the direction vector, goes into both the calculation of the slope and of the distance.

AB=B-A=(2 - 3, -2 - 4) = (-1, -6).   slope=-6/-1=6  AB²=(-1)²+(-6)²=37

BC=C-B=(-6, 1).  slope=1/-6=-1/6.   BC²=(-6)²+1²

CD=D-C=(1, 6).   slope=6/1=6    CD²=1²+6²=37

DA=A-D=(6,-1)   slope=-1/6     DA²=37

We see the negative reciprocal slopes, alternating between 6 and -1/6, indicating perpendicular sides.  We see they all have squared distance 37.  Equal perpendicular sides proves its a square.

If we do these problems enough we learn:  There's no point taking the square root.  In fact, there's really no point computing the slopes and the squared distances; we can see it's a square from the pattern of the direction vectors of the sides:  (-1, -6) (-6, 1) (1, 6) (6,-1)

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4 years ago
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See attached picture:

6 0
3 years ago
Select the polynomial that is a perfect square trinomial.
Alina [70]

Answer:

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Step-by-step explanation:

The square of a binomial expands as ...

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So, you need to look for a trinomial with first and last terms that are perfect squares and a middle term that is double the product of the roots of those terms.

This pattern matches ...

  16x^2 -8x +1 = (4x -1)^2

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Elenna [48]
Graph 2, Option 4 would be your answer because:
If you substitute 1 into the equation (x), you would get about 212
If you substitute 2, you would get approximately 225
If you substitute 10, you would get approximately 364.
Looking at the graph, your answer would be going up and to the right, the population is getting bigger while the years are increasing as well.
If we substitute 15 into x in the equation, we would get approximately 492.
3 0
3 years ago
If x = 3(y − 2z), find the value of x when y = 5 and z = 2. (i need this fast pls)
lesantik [10]

3 ( 5-2(2) 5-4 =1 1×3 =3 ! it's confusing in this format bit the awnser should be 3

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3 years ago
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