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yuradex [85]
3 years ago
13

Answer in factored form x^2+11x+7

Mathematics
1 answer:
KATRIN_1 [288]3 years ago
7 0
X² <span>+ 11x + 7

because 7 is a prime number, this doesn't factor prettily. you'll want to use the quadratic formula; if you aren't familiar with it, i'd either research it or look it up in your textbook, because it's clunky and not easily understood in this format:

(-b </span>± √((b)² - 4ac))/(2a)

in your equation x² + 11x + 7 ... a = 1, b = 11, and c = 7. what you do is you take the coefficients of every term, then plug it into your equation:
(-11 ± √((11)² - 4(1)(7))/(2(1))

not pretty, i know. but, regardless, you can simplify it:
(-11 ± √((11)² - 4(1)(7))/(2(1))
(-11 ± √(121 - 28))/2
(-11 ± √93)/2

and you can't simplify it further. -11 isn't divisible by 2, and 93 doesn't have a perfect square that you can take out from beneath the radical. the ± plus/minus symbol indicates that you have 2 answers, so you can write them out separately:

(x - (-11 - √93)/2) and (x + (-11 - √93)/2)

they look confusing, but those are your two factors. they can be simplified just slightly by changing the signs in the middle due to the -11:

(x + (11 + √93)/2) (x - (11 - √93)/2)

and how these would read, just in case the formatting is too confusing for you: x plus the fraction 11 + root 93 divided by 2. the 11s and root 93s are your numerator, 2s are your denominator.
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vlada-n [284]

Answer:

100 meters

Step-by-step explanation:

Given the following :

Alex house = F

Alex school = H

Alex bus stop = G

FG = 2x meters

GH = 1000meters

FH = 1200 meters

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FH = FG + GH

1200 = (2x + 1000) meters

1200 = 2x + 1000

1200 - 1000 = 2x

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7 0
3 years ago
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ivann1987 [24]

Answer:

\sqrt{85} = 9.2195 = 9.22

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Step-by-step explanation:

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3 years ago
A number, half of that number, and one fifth of that number are added. The result is 51. What is the original number?
Lera25 [3.4K]
Let the original number be ‘x’
Then half of that number= 1/2x or simply x/2
Similarly one fifth of that number = x/5
According to the question
x+x/2+x/5=51
Taking LCM
10x/10+2x/10+5x/10=51
Multiplying 10 throughout
10x+2x+5x=510
17x=510
x=510/17
Therefore x=30
7 0
3 years ago
Amy needs to order a shade for a triangular-shaped window that has a base of 6 feet and a height of 8 feet. What is the area of
Akimi4 [234]

Answer:

24

Step-by-step explanation:

A triangle is a three sided polygon with three edges and three vertices

There are different types of triangles. They include :

  • Right angled triangle - one of the angles measure 90 degrees
  • equilateral triangle - all three sides of the triangle are equal
  • isosceles triangle - two sides of the triangle are equal

Area of a triangle = 1/2 x ( base x height)

1/2 x (6 x 8) = 24 ft²

8 0
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Answer:

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Step-by-step explanation:

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3 years ago
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