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Sphinxa [80]
3 years ago
9

What is the complete factorization of x^2 - 6x + 9

Mathematics
1 answer:
Finger [1]3 years ago
4 0

Answer:

(x-3)^{2}

Step-by-step explanation:

Factor using the perfect square rule.

:)

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Which ordered pair is a solution to the equation y+1=3(x-4)
Talja [164]

Answer:

(0,-13),(1,-10),(2,-7)

Step-by-step explanation:

Hope this helps! Please mark as brainliest.

Thanks!

7 0
3 years ago
A group of employees is stranded on top of a 120 feet building because a fire occurred. Your goal is to throw a rope from a 60 f
Paul [167]

Step-by-step explanation:

-16t² + 64t + 60 = 120

this is a quadratic equation, and its points of f(t) = 0 can be calculated. there are usual 2 such solutions for a quadratic equation.

so, we need to bring it to a form that ends in "= 0".

-16t² + 64t - 60 = 0

that is also the same as

-4t² + 16t - 15 = 0

the formula for the solutions of such a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

a = -4

b = 16

c = -15

so,

t = (-16 ± sqrt(256 - 4×-4×-15))/(2×-4) =

= (-16 ± sqrt(256 - 240))/-8 =

= (-16 ± sqrt(16))/-8 = (-16 ± 4)/-8

t1 = (-16 + 4)/-8 = -12/-8 = 3/2

t2 = (-16 - 4)/-8 = -20/-8 = 5/2

so, it depends on what the unit of time t is. let's assume seconds.

therefore, the rope will reach the top of the building while going up after 3/2 = 1 1/2 = 1.5 seconds.

and then, as the shot rope makes a curve and comes back down again (that is why we have 2 solutions : the rope will reach the height of 120ft during its flight path twice : once while still going up, and once when coming back down again) it will be at the height of the top of the building after 5/2 = 2 1/2 = 2.5 seconds.

so, it depends if the people there can grab it at the first chance, and if the path of the rope would allow them to grab it also again on its way back down. this we don't know.

I therefore guess, that your teacher is aiming for the first solution.

4 0
3 years ago
Is -2.22 a rational or real or integers
mezya [45]
All because -2.22 is a real number, it’s a rational number because it can stop and a integer because it’s negative
3 0
3 years ago
Read 2 more answers
8x-5y=21 simultaneous linear equation<br>2x+9y=-5
olya-2409 [2.1K]

Answer:

x=2 and y=-1

Step-by-step explanation:

If two equations are given, we can solve one of the equation in terms of single variable and put it in the other equation which will further give the value of x and y.

For the given equations:

8x-5y=21              Equation:1

2x+9y=-5             Equation:2

Solving equation multiply equation 2 with 4 on both the sides

8x+36y=-20        Equation 3

Subtracting Equation:3 from Equation:1

8x-5y-(8x+36y)=21-(-20)\\8x-5y-8x-36y=21+20\\-41y=41\\y=-1

Putting value of 'y' in Equation:2 which will give the value of x

2x+9y=-5\\2x+9(-1)=-5\\2x-9=-5\\2x=4\\x=2

8 0
3 years ago
How do I study for a big math test? any tips on how to study I'm a visual learner.
Nastasia [14]

Honestly? Just review your notes and try to work out the problems yourself before taking a look at the answer. You can also google specific topics that the test will cover and try the practice problems.

3 0
3 years ago
Read 2 more answers
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