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3 years ago

TEN POINTS !!!!1 simplify the expression 64^1/3

Mathematics

2 answers:

ozzi3 years ago

4 0

Answer:

Step-by-step explanation:

4x4x4=64

64^1/3 = (4 x 4 x 4)^1/3 = 4

ikadub [295]3 years ago

3 0

Answer:

Step-by-step explanation:

64^1/3

Rewrite 64 as 4^3

4^3 ^ 1/3

We know that a^b^c = a^(b*c)

4 ^(3*1/3)

4 ^1

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The graph shows two polygons ABCD and A′B′C′D′.

stellarik [79]

Answer:

Translate ABCD down 1, then reflect it over the y-axis

and

Reflect ABCD over the y-axis, then translate down 1

Step-by-step explanation:

First of all, the two steps are the same, just in a different order

Second, if you look at the instructions you can see what would happen to the quadrilateral. Reflecting over the y-axis would make the shape flip horizontally (left to right), as shown in the image. This means the points on the left move to the right, and the points on the right move to the left. Top and bottom points stay the same. And the "translation" just means to slide. In both the answers, it says "translate 1 unit down", which just means "move 1 unit down", which is exactly what happens in the image

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3 years ago

Read 2 more answers

What is the equation of the quadratic graph with a focus of (3, 1) and a directrix of y = 5?

telo118 [61]

Answer:

$f(x)=-\frac{1}{8}(x-3)^2+3$

Step-by-step explanation:

We want to find the equation of the parabola with a focus of $(3,1)$ and directrix $y=5$ .

Considering the directrix, the quadratic graph must open downwards.

The equation of this parabola is given by the formula,

$(x-h)^2=4p(y-k)$ , where $(h,k)$ is the vertex of the parabola.

The axis of this parabola meets the directrix at $(3,5)$ .

Since the vertex is the midpoint of the focus and the point of intersection of the axis of the parabola and the directrix,

$h=\frac{3+3}{2}=3$ and $k=\frac{5+1}{2}=3$ .

The equation of the parabola now becomes,

$(x-3)^2=4p(y-3)$ .

Also $|p|$ is the distance between the vertex and the directrix.

$|p|=2$

This implies that $p=-2\:or\:2$ .

Since the parabola turns downwards,

$p=-2$ .

Our equation now becomes,

$(x-3)^2=4(-2)(y-3)$ .

$(x-3)^2=-8(y-3)$ .

We make y the subject to get,

$y=-\frac{1}{8}(x-3)^2+3)$ .

This is the same as

$f(x)=-\frac{1}{8}(x-3)^2+3)$ .

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2 years ago

Last basketball season John made 62% of the free throws he attempted. In the first game this season, John went to the free-throw

Step2247 [10]

Answer:

62 x 10 =620

Step-by-step explanation:

multiply

5 0

2 years ago

Two sides of an obtuse triangle measure 12 inches and 14 inches. The longest side measures 14 inches

katen-ka-za [31]

Answer:

Step-by-step explanation:

If you add the lengths of two sides, 12 and 14, you will get 28. Using the above theorem, the third side cannot be greater than or equal to 28. Therefore, the greatest possible whole-number length of the unknown side is 27.

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2 years ago

I need help with Multiplication Properties of Exponents desperately!! I've tried to solve both problems repeatedly and I cannot

Yuliya22 [10]

Answer:

1) x= -36.

2) x = 0.

Step-by-step explanation:

1) Taking the 3rd power to both sides and using the following exponent law:

$\left(a^b\right)^c = a^{bc}$