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Tatiana [17]
3 years ago
15

Which equation is y=(x+3)2+(x+4)2 rewritten in vertex form

Mathematics
1 answer:
Julli [10]3 years ago
3 0
Vertex coordinates: (h, k)

Vertex form: y = a(x-h)^2 + k

y = 2(x+3) + 2(x+4)

Use distributive property:

y = 2((x+3)+(x+4))

Simplify:

y = 2(2x+7)

y = 4x+14

This is slope - intercept form, not vertex form. Vertex form is for quadratic equations - this is a linear equation.

Answer (in slope - intercept form):

y = 4x+14
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Which expression has the same meaning as p 11/5?
grandymaker [24]

Answer:

I believe it is either number one or four.

Step-by-step explanation:

7 0
3 years ago
Can you help me with this what is 4z-z
ValentinkaMS [17]

Answer: The answer would be 3z! Good luck!

Step-by-step explanation: Subract z from 4z, basically turn the equation to 4z - 1z, then put the variable (z) to the side and subtract 1 from 4. Once you're

done with that bring your variables back and you have 3z!

3 0
3 years ago
Which value is the solution for this equation<br><br>2/3(6h-9)=6<br>A) -1<br>B) 1<br>C) 3<br>D) 5
faust18 [17]

Answer:

h = 3

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

Step-by-step explanation:

<u>Step 1: Define</u>

2/3(6h - 9) = 6

<u>Step 2: Solve for </u><em><u>h</u></em>

  1. [Division Property of Equality] Divide 2/3 on both sides:                             6h - 9 = 9
  2. [Addition Property of Equality] Add 9 on both sides:                                   6h = 18
  3. [Division Property of Equality] Divide 6 on both sides:                                h = 3
8 0
3 years ago
Melissa has $100 in the bank. She plans to deposit $40 per week until she reaches $500. What is the rate of change? Explain what
Wewaii [24]

Answer:

$40 per week

Step-by-step explanation:

Step one:

Given data

the initial amount is = $100

the total amount= $500

let the number of weeks be x

Step two:

The expression for the scenario is

500= 100+40x-------1

From the expression above, the rate of the change is $40 per week.

this means that in every week the account will be increased by $40

5 0
3 years ago
A rectangular exercise mat has a perimeter of 36 feet. The length of the mat is twice the width. Write and solve an equation to
denpristay [2]

Answer:

Part a) The length of the mat is 12\ ft

Part b) The area of the mat is 72\ ft^{2}

Step-by-step explanation:

step 1

Find the length

Let

L-----> the length of the rectangle

W---> the width of the rectangle

we know that

The perimeter of rectangle is

P=2(L+W)

P=36\ ft

so

36=2(L+W)

18=(L+W) ----> equation A

L=2W -----> equation B

substitute equation B in equation A

18=(2W+W)

solve for W

18=3W

W=18/3=6\ ft

Find the value of L

L=2(6)=12\ ft

step 2

Find the area

The area of rectangle is equal to

A=LW

substitute the values

A=(12)(6)=72\ ft^{2}

3 0
3 years ago
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