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3 years ago

What is the answer to 5n²/2n³×5n³

Mathematics

1 answer:

DanielleElmas [232]3 years ago

4 0

5n(n^2+n+7)-3n(n^2+2n)

5n^3+5n^2+35n-3n^3-6n^2 

2n^3-n^2+35n 

n(2n^2-n+35)

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3 years ago

The width of a triangle is six more than twice the height. The area of the triangle is 88in2. Find the height and base of the tr

malfutka [58]

For this case we have that by definition, the area of a triangle is given by:

$A = \frac {b * h} {2}$

Where:

b: It is the base of the triangle

h: It is the height of the triangle

According to the statement data we have:

$b = 6 + 2h$

Substituting we have:

$88 = \frac {(6 + 2h) * h} {2}\\176 = 6h + 2h ^ 2\\2h ^ 2 + 6h-176 = 0$

We divide between 2 on both sides:

$h ^ 2 + 3h-88 = 0$

We factor by looking for two numbers that, when multiplied, are obtained -88 and when added together, +3 is obtained.

These numbers are +11 and -8.

$(h + 11) (h-8) = 0$

We have two roots:

$h = -11\\h = 8$

We choose the positive value.

Thus, the base of the triangle is: $b = 6 + 2 (8) = 22$

Answer:

The base of the triangle is 22 units.

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3 years ago

Read 2 more answers

Two functions are given below: f(x) and h(x). State the axis of symmetry for each function and explain how to find it.

andrew-mc [135]

Answer:

f(x):

$x = - 4$

g(x)

$x = 1$

Step-by-step explanation:

When a function is of the form:

$f(x) = a {(x - h)}^{2} + k$

The equation of the axis of symmetry is

$x = h$

The given function is

$f(x) = 3 {(x + 4)}^{2} + 1$

We can see that h=-4

Hence the equation of axis of symmetry is

$x = - 4$

From the graph, the axis of symmetry of h(x) is the vertical line that divides the parabola into two congruent halves.

This line is

$x = 1$

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3 years ago

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3 years ago

Find the area bounded by the graphs of the indicated equations over the given interval.

NeX [460]

Answer:

Step-by-step explanation:

$y = 0$

is basically the horizontal axis.

First, find the integral of x^2-25.

Remember that

integral of a constant is that constant times x.

Also that

to take the integral of a power function, add 1 to the degree and divide by that same degree.

$y = {x}^{2} - 25$

We then get

$\frac{ {x}^{3} }{3} - 25x$

Evaluate at -3

$\frac{ - 3 {}^{3} }{3} - 25( - 3)$

$- 27 + 75 = 48$

Then we evaluate at 0

$\frac{0 {}^{3} }{3} - 25(0) = 0$

Next, we subtract the the answer then we get

$48 - 0 = 48$

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