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dimulka [17.4K]
3 years ago
13

Complete the square to find the vertex of this parabola.PLEASE HELP!!

Mathematics
1 answer:
Paladinen [302]3 years ago
4 0

Answer:

(1, 5 )

Step-by-step explanation:

Given

x² - 2x + y - 4 = 0 ( add 4 to both sides )

x² - 2x + y = 4

Complete the square on x² - 2x

add ( half the coefficient of the x term )² to both sides

x² + 2(- 1)x + 1 + y = 4 + 1, that is

(x - 1)² + y = 5

Subtract (x - 1)² from both sides

y = - (x - 1)² + 5

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

y = - (x - 1)² + 5 ← is in vertex form

with vertex = (1, 5 )

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What is the solution to 3|–3x + 9| = –18?
Natasha_Volkova [10]

3|–3x + 9| = –18

divide both sides by 3

|–3x + 9| = –6

<span>absolute value cannot be a negative number</span>

<span>Answer: No solutions</span>


4 0
3 years ago
Find the area and perimeter <br> please help me :)
Katarina [22]

Answer:

Perimeter: 44

Area: 96

Step-by-step explanation:

Perimeter - Just add all the sides together, 4 + 10 + 12 +7 + 8 + 3.

(The 8 and the 3 are apart of the sides that are not labeled. Since 12 - 4 = 8, and 10 - 7 = 3, That's where these numbers come from.)

Area - 4 * 10 = 40,

 +        8 * 7 =  56,

--------------------------------

                   = 96

I hope this helps :)

8 0
3 years ago
Read 2 more answers
What is the median set data for 4,2,7,5,4,12,8
iogann1982 [59]

Answer:

the median is 5 the data i dunno

Step-by-step explanation:

5 0
4 years ago
Translate and solve: Three more than the difference of 6s and 5s is equal to the difference of 1/12 and 1/6
PilotLPTM [1.2K]

Answer:

a. (6s-5s)+3=\frac{1}{12}-\frac{1}{6}

b. s=-\frac{37}{12}

Step-by-step explanation:

You need to remember that:

1. The word "more" indicates Addition.

2. The "Difference" is the result of a Subtraction.

a. Then, knowing this information, you know that:

- "The difference of 6s and 5s" must be expressed as:

6s-5s

- Then, "Three more than the difference of 6s and 5s " is:

(6s-5s)+3

- "The difference of  \frac{1}{12} and \frac{1}{6} " can be expressed in this form:

\frac{1}{12}-\frac{1}{6}

Therefore, "Three more than the difference of 6s and 5s is equal to the difference of  \frac{1}{12} and \frac{1}{6} " is:

(6s-5s)+3=\frac{1}{12}-\frac{1}{6}

b. Solve for "s" in order to find its value:

s+3=-\frac{1}{12}\\\\12(s+3)=-1\\\\12s+36=-1\\\\12s=-1-36\\\\s=-\frac{37}{12}

8 0
3 years ago
Ok so i have to write something
kap26 [50]

(11/3-7/4)/[3.4-(1/2+2/3*3/2)]

First I converted fractions to mixed numbers.

11/3-7/4 / 3.4-3/2

Then, I solve the inside of the parentheses.

23/12 / 3.4-3/2

Continue to simplify

Convert to decimals

1.91667/1.9

Hope this helps

6 0
3 years ago
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