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2 years ago

What is the factorization of the polynomial below? x2 + 11x + 10

Mathematics

1 answer:

Sphinxa [80]2 years ago

5 0

Answer:

(x+1)(x+10)

Step-by-step explanation:

You must find two numbers that multiply to make 10 and add to make 11. In this case those numbers are 1 and 10 (1×10=10, 1+10=11)

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What is -10=k+6 please show work thank you

Tresset [83]

Answer:

k=-16

Step-by-step explanation:

-10=k+6

subtract 6 both both sides to isolate the variable

-16=k

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Now there is a square city of unknown size with a gate at the center of each side. There is a tree 20 b from the north gate. Tha

Brums [2.3K]

Answer:

The length of each side of the city is 250b

Step-by-step explanation:

Given

$a = 20$ --- tree distance from north gate

$b =14$ --- movement from south gate

$c = 1775$ --- movement in west direction from (b)

See attachment for illustration

Required

Find x

To do this, we have:

$\triangle ADE \sim \triangle ACB$ --- similar triangles

So, we have the following equivalent ratios

$AE:DE = AB:CB$

Where:

$AE = 20\\ DE = x/2 \\ AB = 20 + x + 14 \\ CB = 1775$

Substitute these in the above equation

$20:x/2 = 20 + x + 14: 1775$

$20:x/2 = x + 34: 1775$

Express as fraction

$\frac{20}{x/2} = \frac{x + 34}{1775}$

$\frac{40}{x} = \frac{x + 34}{1775}$

Cross multiply

$x *(x + 34) = 1775 * 40$

Open bracket

$x^2 + 34x = 71000$

Rewrite as:

$x^2 + 34x - 71000 = 0$

Expand

$x^2 + 284x -250x - 71000 = 0$

Factorize

$x(x + 284) -250(x + 284)= 0$

Factor out x + 284

$(x - 250)(x + 284)= 0$

Split

$x - 250 = 0 \ or\ x + 284= 0$

Solve for x

$x = 250 \ or\ x =- 284$

x can't be negative;

So:

$x = 250$

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2 years ago

Given right triangle ABC with altitude BD draw to hypotenuse AC. If AD=13 and DC=33,what is the length of BD in simplest radical

denis23 [38]

Answer:

8.06

Step-by-step explanation:

I used my brain and paper. I don't want to have to explain it anymore sorry but yes I think that is the right answer.

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