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2 years ago

Number between 61 and 107 that is multiple of 2,6 and 8

Mathematics

2 answers:

Fed [463]2 years ago

4 0

The answer to that is 72 and 96. :)

mariarad [96]2 years ago

3 0

Not saying my answer is 100% correct but I quickly tried to solve this and got 72.
(2x36, 6x12, 8x9)

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Find the product of all real values of r for which 1/2x=r-x/7

Dahasolnce [82]

Answer:

$r = \±\sqrt{14$

$Product = -14$

Step-by-step explanation:

Given

$\frac{1}{2x} = \frac{r - x}{7}$

Required

Find all product of real values that satisfy the equation

$\frac{1}{2x} = \frac{r - x}{7}$

Cross multiply:

$2x(r - x) = 7 * 1$

$2xr - 2x^2 = 7$

Subtract 7 from both sides

$2xr - 2x^2 -7= 7 -7$

$2xr - 2x^2 -7= 0$

Reorder

$- 2x^2+ 2xr -7= 0$

Multiply through by -1

$2x^2 - 2xr +7= 0$

The above represents a quadratic equation and as such could take either of the following conditions.

(1) No real roots:

This possibility does not apply in this case as such, would not be considered.

(2) One real root

This is true if

$b^2 - 4ac = 0$

For a quadratic equation

$ax^2 + bx + c = 0$

By comparison with $2x^2 - 2xr +7= 0$

$a = 2$

$b = -2r$

$c =7$

Substitute these values in $b^2 - 4ac = 0$

$(-2r)^2 - 4 * 2 * 7 = 0$

$4r^2 - 56 = 0$

Add 56 to both sides

$4r^2 - 56 + 56= 0 + 56$

$4r^2 = 56$

Divide through by 4

$r^2 = 14$

Take square roots

$\sqrt{r^2} = \±\sqrt{14$

$r = \±\sqrt{14$

Hence, the possible values of r are:

$\sqrt{14$ or $-\sqrt{14$

and the product is:

$Product = \sqrt{14} * -\sqrt{14}$

$Product = -14$

8 0

2 years ago

What is 0,0.5,1,1.5,2,3,3.5,4,4.5,5,6,6.5,7 in order from least to greatest?

andrew-mc [135]

Lol you have it in order from least to greatest already

6 0

3 years ago

Read 2 more answers

What is halfway between 5.55 and 5.6

Alenkasestr [34]

5.575 because you would need to add half of 0.05 which is 0.075

I think this right : )

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2 years ago

Can somebody help me with this problem

kherson [118]

The 2nd answer

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3 years ago

The sides of an triangle measure six inches eight inches and ten inches the triangle has one 90 degree angle what typ of trangle

MaRussiya [10]

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2 years ago