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3 years ago

What is the value of the expression?

Mathematics

1 answer:

melisa1 [442]3 years ago

3 0

Answer:

2/0 or infinity

Step-by-step explanation:

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Complete the Square: 5x^2+16x-40=8 (please show your steps)

Sav [38]

Answer:

Step-by-step explanation:

divide through by the coefficient of $x^{2}$

$\frac{5x^{2} }{5}$ + $\frac{16x}{5} + \frac{-40}{5} = \frac{8}{5}$

$x^{2} +\frac{16}{5}x -8 =\frac{8}{5}$

$x^{2} +\frac{16}{5} x = \frac{8}{5} +8$

$x^{2} + \frac{16}{5} x =\frac{48}{5}$

Add half of the square of the coefficient of x to both sides $(\frac{1}{2} X \frac{16}{5} ) ^{2}$

$x^{2} + \frac{16}{5}x + (\frac{1}{2} X \frac{16}{5} )^{2} =$ $\frac{48}{5} +(\frac{1}{2} X \frac{16}{5} )^{2}$

$x^{2} +\frac{16}{5} x +(\frac{16}{10}) ^{2} =\frac{48}{5} +\frac{64}{25}$

$(x +\frac{16}{10})^{2} =\frac{304}{25}$

$x +\frac{16}{10} =$ ± $\sqrt{\frac{304}{25} }$

$x = -\frac{16}{10}$ ± $\sqrt{\frac{304}{25} }$

$x=-\frac{16}{10} + \sqrt{\frac{304}{25} }$ or $-\frac{16}{10} - \sqrt{\frac{304}{25} }$

$x = 1.89$ or -5.09

5 0

3 years ago

A farmer has 48 feet of fence with which to make a corral. If he arranges it into a rectangle that is twice as

likoan [24]

Answer:

The shorter side is 8 feet

the longer side is 16 feet

Step-by-step explanation:

lets call the shorter side x.

let's call the longer side 2x (because it's twice as long as the shorter side)

you know that the perimeter is 48 feet.

the perimeter would be 2(short side) + 2(long side)

using this, you can make the following equation:

2(x) + 2(2x) = 48

open the parenthesis.

2x + 4x = 48

6x = 48

x = 8

2x = 16

8 0

3 years ago

What is the product of eight factors of 10?

Shkiper50 [21]

Answer:

2 and 5 are factors of 10

4 0

3 years ago

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Michael wanted to see what kitchen cleaner worked best for cleaning her counters. He used Lysol, Clorox, Pinesol, and just water

wariber [46]

Answer:

whichever paper towel observer's the most juice is the best brand

5 0

3 years ago

PLEASE HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE when x=21, y=5. find x when y=25

Anit [1.1K]

This is a simple ratio. x : y. So x = 21 when y = 5.

21 : 5.

x : 25

So you are timesing each side by 5

So 21 x 5 = 105.

x = 105

7 0

4 years ago

Read 2 more answers