All categories

3 years ago

Complete the square to find the vertex of this parabola. x2-16y-4x-12=0

Mathematics

1 answer:

lana [24]3 years ago

6 0

Answer:

Step-by-step explanation:

x^2-16y-4x-12=0

Transpose and separate x and y

16y = x^2-4x-12

16y = (x^2-4x+4) -16

16y = (x-2)^2 -16

y = (1/16)(x-2)^2 -1

This means that the vertex is at

(x-2)=0 or x=2

y = -1

=> vertex (2,-1)

You might be interested in

HURRY NEED HELP ASAP

poizon [28]

I=p*r*t
The answer is 1131.20

5 0

3 years ago

Read 2 more answers

What is 0.29 of 200 rounded to the nearest hundred

jekas [21]

Answer:

$100$

Step-by-step explanation:

Step 1: Make an expression

$200 * 0.29 = x$

$58 = x$

Step 2: Round

$58$

$100$

Answer: $100$

3 0

3 years ago

Independent Practice

mariarad [96]

Answer:

B. (1, 0)

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Solve using Quadratic Formula x^2 + 3x - 3 = 0

katrin [286]

Answer:

a= 1 , b= 3 , c= –3

$x = \frac{ - b \frac{ + }{} \sqrt{ {b}^{2} - 4ac} }{2a} \\ x = \frac{ - 3 \frac{ + }{} {} \sqrt{ {3}^{2} - 4(1)( - 3)} }{2(1)} \\ = \frac{ - 3 \frac{ + }{} \sqrt{9 + 12} }{2} = \frac{ - 3 \frac{ + }{} \sqrt{21} }{2} \\ \\ x = \frac{ - 3 \frac{ + }{} \sqrt{21} }{2} \\ \\ x = 0.79 \\ x = - 3.79$

I hope I helped you^_^

4 0

3 years ago

LeBron flips a coin 3 times. What is the probability of LeBron getting tails AT LEAST twice in a row? (Note: If he gets tails mo

madam [21]

Answer:

3 / 8

Step-by-step explanation:

From the tree diagram provided :

Required outcome = atleast two consecutive tails :

(HTT) ; (TTH) ; (TTT) = 3

TOTAL POSSIBLE OUTCOMES = 8

PROBABILITY = REQUIRED OUTCOME / TOTAL POSSIBLE OUTCOMES

HENCE ;

P(ATLEAST TWO TAILS IN A ROW) = 3 / 8

7 0

3 years ago