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nordsb [41]
3 years ago
14

The first three steps for completing the square to solve a quadratic equation are shown. What number goes in the boxes to comple

te the third step?

Mathematics
2 answers:
Korolek [52]3 years ago
7 0

9514 1404 393

Answer:

  C.  16

Step-by-step explanation:

The x-coefficient is -8. Half that is -4. The number that goes in the boxes is the square of -4: (-4)² = 16.

_____

It can help to keep in mind what the square of a binomial looks like:

  (x -a)² = x² -2ax +a²

The coefficient of x is -2a. The constant is the square of half that (-2a/2)² = a².

Blababa [14]3 years ago
4 0

Answer:

16

Step-by-step explanation:

The x-coefficient is -8. Half of -8 is -4. The number that goes in the boxes is the square of -4: (-4)² = 16.

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The ratio of butter:flour:sugar in a recipe is 1:9:6. When using 8 cups of sugar in this recipe, how many total cups of ingredie
olga nikolaevna [1]

Answer:

21 and a third cups bxisjsbdn

7 0
2 years ago
Let x and y represent the tens digit and ones digit of a two digit number, respectively. The sum of the digirs of a two digit nu
gayaneshka [121]

Answer:

The Original Number is 36

Step-by-step explanation:

Given:

y is the number in units place

x is the number in tens place

Original Number = 10x+y

x+y=9 is equation 1

Now after interchanging the digits

New number = 10y+x

New Number = 27 + Original Number

Substituting Valus in above equation we get.

10y+x=27+10x+y\\10y-y+x-10x=27\\9y-9x=27\\9(y-x)=27\\y-x=\frac{27}{9}\\

y-x=3 let this be equation 2

Adding equation 1 and 2 we get

(x+y=9)+(y-x=3)\\2y=12\\y=\frac{12}{2}\\y= 6\\

Substituting value of y in equation 1 we get

x+y=9\\x+6=9\\x=9-6\\x=3

x=3 and y=6

Original Number = 10x+y=10\times3+6=30+6=36

4 0
3 years ago
Given: X= 0.234523452345..... Is X rational or irrational? a If X is rational, rewrite it in a fraction.
Evgesh-ka [11]

Answer:

0.234523452345 as a fraction equals 234523452345/1000000000000

Step-by-step explanation:

To write 0.234523452345 as a fraction you have to write 0.234523452345 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

0.234523452345 = 0.234523452345/1 = 2.34523452345/10 = 23.4523452345/100 = 234.523452345/1000 = 2345.23452345/10000 = 23452.3452345/100000 = 234523.452345/1000000 = 2345234.52345/10000000 = 23452345.2345/100000000 = 234523452.345/1000000000 = 2345234523.45/10000000000 = 23452345234.5/100000000000 = 234523452345/1000000000000

7 0
3 years ago
Which statements about the graph of the function f(x) = -2- 4x + 2 are true? Select three options
soldi70 [24.7K]

Answer:Its B,C, and E man

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
The length of a rectangle is 3 times the width. The perimeter is 44 cm. What are the dimensions of the rectangle? Write and solv
ser-zykov [4K]
Here are your equations:
x and 3x
How to set up:
2(x)+ 2(3x) = 44
Simplify:
8x = 44
Divide:
x = 5.5
Plug back in to find values:
Width = 5.5
Length = 16.5

Hope this helps!! :)
5 0
3 years ago
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