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3 years ago

Which of the 4 is correct

Mathematics

1 answer:

Afina-wow [57]3 years ago

7 0

Answer:

x^3(4x+1)(4x-1),Option 4

Step-by-step explanation:

16x^5-x^3

x^3(16x^2-1)

x^3(4x+1)(4x-1)

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Find the length of the altitude drawn to the hypotenuse.the triangle is not drawn to scale

Marrrta [24]

Answer:

4√5

Step-by-step explanation:

Let's call it x

According to Euclidean theorem x^2 = 5×16

x^2= 80 and

x = 4√5

6 0

2 years ago

Find the greatest solution for x+y when x^2+y^2 = 7, x^3+y^3=10

damaskus [11]

Answer:

Step-by-step explanation:

set

$f(x,y)=x+y\\$

constrain:

$g(x,y)=x^2+y^2 = 7\\h(x,y)=x^3+y^3=10$

Partial derivatives:

$f_{x}=1\\f_{y} =1 \\g_{x}=2x \\g_{y}=2y\\h_{x}=3x^2 \\h_{y}=3y^2$

Lagrange multiplier:

$grad(f)=a*grad(g)+b*grad(h)\\$

$\left[\begin{array}{ccc}1\\1\end{array}\right]=a\left[\begin{array}{ccc}2x\\2y\end{array}\right]+b\left[\begin{array}{ccc}3x^2\\3y^2\end{array}\right]$

4 equations:

$1=2ax+3bx^2\\1=2ay+3by^2\\x^2+y^2=7\\x^3+y^3=10$

By solving:

$a=4/9\\b=-2/27\\x+y=4$

Second mathod:

Solve for x^2+y^2 = 7, x^3+y^3=10 first:

$x=\frac{1}{2} -\frac{\sqrt{13}}{2} \ or \ y=\frac{1}{2} +\frac{\sqrt{13}}{2} \\x=\frac{1}{2} +\frac{\sqrt{13}}{2} \ or \ y=\frac{1}{2} -\frac{\sqrt{13}}{2} \\x+y=-5\ or\ 1 \or\ 4$

The maximum is 4

6 0

2 years ago

........................answer

Nataly [62]

Answer:

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Jeremiah can run 5 miles in 37 minutes. At that rate, how long does it take him to run 1 mile?

VashaNatasha [74]

So what you would do is divide 37 minutes by 5 to get 7.4 minutes

answer: 7.4 minutes

3 0

2 years ago

A map is drawn to scale such that 1/8 inch represents 65 feet. if the shortest route from the dorm to the grocery store measures

enot [183]

The answer is miles. I'll use decimals in my explanation.
23.25 divided by 0.2 equals 116.25
116.25 multiplied by 65 equals 7556.25
7556.25 divided by 5280 equals 1.43110795455
Rounded to the nearest tenth that's 1.4
Hope it helped.

4 0

2 years ago