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alukav5142 [94]
2 years ago
13

Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.

Mathematics
2 answers:
kobusy [5.1K]2 years ago
8 0

Answer:

k² − 4k + 4

Step-by-step explanation:

recall the following property of perfect square quadratics

(a-b)² = a²- 2ab + b²  --------------( eq1)

We are given:

k² − 4k + ? --------------(eq 2)

and we are asked to determine ? for which the expression above is a perfect square.

Manipulating the given equation:

k² − 4k + ?  (factor out 2 from the 2nd term), we get:

k² −(2)(k)(2) + ?

now we compare this with the right side of  (eq1)

a²- 2 a b + b²

we can clearly see that a = k and b = 2,

substituting this back into eq 2,

k² − 4k + 2²

= k² − 4k + 4

Mrac [35]2 years ago
4 0

Answer:

4.

Step-by-step explanation:

Hope this helps!

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If there are twice as many bicycles as scooters and there are 945 vehicles in total. How many bicycles and scooters are there in
alexandr402 [8]

Answer:

Bicycles = 315

Scooters = 630, basic mathematics. The most effective method for these questions is substitution. But I might have intermingled them so double check

3 0
3 years ago
(-3c+6) + (-c+8) simplify with a step by step please
mel-nik [20]

Step-by-step explanation:

= ( - 3c + 6) + ( - c + 8)

=  - 3c + 6 - c + 8

=  - 3c - c + 6 + 8

= -4c + 14

hence -4c + 14 is the answer ...

hope it helped !!

6 0
1 year ago
-9y - 2 (2 - 7y) + 4
poizon [28]

Answer:

-9y-2(2-7y)+4 expand the brackets using-2

Step-by-step explanation:

-9y-4+14y+4

arrange the like terms

-9y+14y-4+4

=5y becoz -4+4=0

ans=5y

7 0
2 years ago
Read 2 more answers
Can you help me?
jarptica [38.1K]

Answer:

f(x) = x + 3 and g(x)=x^{2} - 2 ( f - g )(7t)

I'm not sure, I just tried ma best :) !

4 0
2 years ago
A rectangle has a length that is 7 inches less that twice it's width. The area of the rectangle is 72 square inches. Write an eq
Nitella [24]

Answer: 2x^2-7x=72 , where  x= width of the rectangle ( in inches).

Step-by-step explanation:

Let x= width of the rectangle ( in inches).

Then its length =  2x-7 ( in inches).

Area of rectangle = Length × width

= (2x-7) × (x)

= 2x × x -7 ×x

= 2x²-7x

The area of the rectangle is 72 square inches.

\Rightarrow\ 2x^2-7x=72

Hence, the equation that represents the given situation :

2x^2-7x=72

7 0
3 years ago
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