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sergiy2304 [10]
3 years ago
14

Determine the next step for solving the quadratic equation by completing the square.

Mathematics
2 answers:
Nataly_w [17]3 years ago
8 0

Answer:

A) StartFraction negative 7 Over 2 EndFraction = –2(x – StartFraction 1 Over 2 EndFraction)2

Step-by-step explanation:

–3 + = –2(x² – x + )

-3 + -2(½)² = -2(x² - 2(x)(½) + (½)²)

-3 - ½ = -2(x - ½)²

-7/2 = -2(x - ½)²

Lady_Fox [76]3 years ago
6 0

Answer:

-7/2 = -2(x-1/2)^2

Step-by-step explanation:

0 = –2x^2 + 2x + 3

Subtract 3 from each side

-3 = –2x^2 + 2x

Factor out the -2

-3 =- 2(x^2 -x)

Take the coefficient of x and divide by 2 and square it

-1 /2 = -1/2 ^2 = 1/4

Add it to each side  Remember the -2 on the outside so we need to multiply it by -2  

-2 *1/4 =  -1/2

-3 -1/2= -2(x^2 -x +1/4)

-7/2 = -2(x^2 -x +1/4)

-7/2 = -2(x-1/2)^2

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Find the slope of the line containing the points (2,-5) and (-4,9)
eimsori [14]

Answer:

The slope would be -2  1/3 or -2.3 repeating

Step-by-step explanation:

The first point would be (-4, 9). The next point is (2, -5). We can tell that the slope will be negative, because the x values increased by 6, but the y values decreased by 4.

The slope would be -2  1/3 or -2.3 repeating

I Hope That This Helps! :)

5 0
2 years ago
Standard automobile license plates in a country display 2 digits, followed by 2 letters, followed by 3 digits. How many differen
fomenos

Answer:

There are 1,892,800,000 different standard plates that are possible in this system

Step-by-step explanation:

The plates follow the following format:

D - D - L - L - L - D - D - D

For each digit there are 10 possible outcomes, and for each letter there are 26 possible outcomes.

So, there are

10*10*26*26*28*10*10*10 = 1,892,800,000

different standard plates that are possible in this system

3 0
3 years ago
1. what is 20 percent of 12.37
Igoryamba

Answer:

1. 2.474

2. 2.694

3. 2.334

4. 2.638

Step-by-step explanation:

1 = .20 x 12.37 = 2.474

2 = .20 x 13.47 = 2.694

3 = .20 x 11.67 = 2.334

4 = .20 x 13.19 = 2.638

6 0
3 years ago
How many of the students correctly applied only the associative property to rewrite the expression?
-BARSIC- [3]
You need to be more clear. 
8 0
3 years ago
Could someone just explain how to solve this for the two sides? We learned 30 60 90 triangles not 29 61 90 triangles
natta225 [31]

Step-by-step explanation:

Use SOH-CAH-TOA.

Sine = Opposite / Hypotenuse

Cosine = Adjacent / Hypotenuse

Tangent = Opposite / Adjacent

Side a is adjacent to the 29° angle, and 14 is opposite of the 29° angle.  So use tangent:

tan 29° = 14 / a

a = 14 / tan 29°

a ≈ 25.3

Side c is the hypotenuse, and 14 is opposite of the 29° angle.  So use sine:

sin 29° = 14 / c

c = 14 / sin 29°

c ≈ 28.9

5 0
3 years ago
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