1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
andre [41]
3 years ago
14

Use the “complete the square” method to rewrite the equation ax 2 + bx + c = 0 in the form ( x – p ) 2 = q .

Mathematics
2 answers:
Leviafan [203]3 years ago
5 0
X^2 + (b/a)x + c/a = 0
x^2 + (b/a)x + c/a = 0
x^2 + 2(b/a)x + c/a - b/a = 0
x^2 + 2(b/a)x = b/a - c/a
x^2 + 2(b/a)x + (b/a)^2 = b/a - c/a + (b/a)^2
(x + b/a)^2 = b/a - c/a + (b/a)^2
p = -b/a
q = b/a - c/a + (b/a)^2
mel-nik [20]3 years ago
3 0
Ax2<span> + bx + c = 0 = </span>a(x+d)^2<span> + </span>e<span> = 0 </span>
You might be interested in
the diagram shows a rectangle is 13 cm the area of the rectangle is 93.6 cm calculate the width of the rectangle.
Korvikt [17]

Answer:

7.2 cm

Step-by-step explanation

The area of a rectangle is calculated by multiplying the width and the length together. Therefore:

13 multiplied by x = 93.6

x = 93.6 divided by 13

x= 7.2

3 0
3 years ago
Read 2 more answers
What is the solution set of this problem? 9x 4=5 5x?
trasher [3.6K]
Is this 9x+4=5+5x or is it 9x•4=5•5x?
5 0
3 years ago
Can someone help me please
FinnZ [79.3K]

Answer:

1/9, 3, 27

(A / the first option listed)

Step-by-step explanation:

Here, we are given an expression with an "x" in it, and we are to evaluate possible x values, which means we plug them in as the x in the expression

first,

x = -2

3ˣ → 3⁻²

when we raise something to a negative power, we simply find the positive version of that power, and put a 1 over it:

3²  =  3 · 3 =  9

so, 3⁻² =  \frac{1}{9}  (1/9)

next,

x = 1

3ˣ → 3¹

now, here we have something raised to the power of 1, which is always itself, so  3¹ = 3

   (think of ^to the power of  as how many times we multiply that number, so 3² = 3 · 3, 3¹ = 3)

and finally,

x = 3

3ˣ → 3³

here, we can multiply 3 by itself 3 times:

3 · 3 · 3 = 27

so, 3³ = 27

[<em>important note</em><em>: when we raise something to a power, we are </em><u><em>not</em></u><em> multiplying the base number by that number, but this is a common mistake. but the exponent is how many times we are multiplying that number, which is confusing at first}</em>

So, our answers in order are:

1/9, 3, 27 (the first option listed)

hope this helps! let me know if I should clarify anything :)

8 0
2 years ago
HELLPPPPP!! i need help with this taking a test
vivado [14]

Answer:

trapezoid

Hope help

Pls mark brainliest if it is a right answer

3 0
3 years ago
Khianna is trying to help her neighbor Mrs. Johnson design and estimate the cost of a new square patio to be made from 16 inch s
Gnoma [55]

Part I: Scale Drawing

<span>Decide on a scale factor to represent the distance covered by the patio. Then, use the space below to design Mrs. Johnson’s patio to be a square that is at least 8 feet on each side.</span>

 a) Scale Factor: 1 in/ 2 ft 

Use a straightedge and a ruler to draw to scale a design for Mrs. Johnson’s patio

b) see the picture attached

Mrs. Johnson’s patio to be a square that is 10 ft x 10 ft

<span><span>c) What are the dimensions of Mrs. Johnson’s patio? </span>
</span>the dimensions of Mrs. Johnson’s patio are 10 ft x 10 ft

<span><span>d) Calculate the area of Mrs. Johnson’s patio.  Show all work.  
</span> </span>
area of the square=b²
where b is the length side of the square
b=10 ft
so
Area=10²-----> area =100 ft²

<span><span>e) How many pavers will be needed?  Show all work. </span>
</span>
we know that
1 paver is 16 in x 16 in dimensions
convert to ft
1 ft----------->12 in
x ft-----------> 16 in
x=16/12-----> x=4/3 ft
so
1 paver is (4/3) ft x (4/3) ft dimensions

area of one paver=(4/3)²----> 16/9 ft²

if one paver has an area of----------------> 16/9 ft²
x pavers----------------------->  100 ft²
x=100/(16/9)------> x=100*9/16-----> x=56.25 pavers

if one box --------------> 12 pavers
x box---------> 56.25 pavers
x=56.25/12-----> x=4.68 box-------> x=5 boxes
5 boxes of pavers will be needed 

<span><span>f) What will it cost to build the patio?  Show all work. 
 </span> </span>
the cost of one box is--------> $99.99
5 boxes-----------> x
x=5*$99.99------>x=$499.95

the cost to build the patio is $499.95

Part II: Bigger Design

<span>There is a saying that bigger is better, so why not double the dimensions of Mrs. Johnson’s patio to make the side measurement twice as big? Mrs. Johnson and I think that it would better meet her needs.  After seeing the original estimation, she thinks that she could afford to double the size. I explained that making the patio twice as big would mean twice the cost. Mrs. Johnson says, “Let’s do it!”</span>

 

<span>a) What would be the new dimensions of Mrs. Johnson’s patio?
</span>the new  dimensions of Mrs. Johnson’s patio are 20 ft x 20 ft

<span>b) Calculate the new area of Mrs. Johnson’s patio.  Show all work.
</span>area of the square=b²
where b is the length side of the square
b=20 ft
so 
Area=20²-----> area =400 ft²<span>  
</span>
<span><span>c) How many pavers will be needed for the new design?  Show all work.
</span> </span>
1 paver is (4/3) ft x (4/3) ft dimensions

area of one paver=(4/3)²----> 16/9 ft²

if one paver has an area of----------------> 16/9 ft²
x pavers----------------------->  400 ft²
x=400/(16/9)------> x=400*9/16-----> x=225 pavers

if one box --------------> 12 pavers
x box---------> 225 pavers
x=225/12-----> x=18.75 box-------> x=19 boxes
19 boxes of pavers will be needed 

<span>d) What will it cost to build the bigger patio?  Show all work. 
</span>the cost of one box is--------> $99.99
19 boxes-----------> x
x=19*$99.99------>x=$1899.81
the cost to build the bigger patio is $1899.81

<span><span>e) Is Khianna right?  Will doubling the size of the patio, double the cost?</span>
</span>
<span>Khianna is wrong to double the dimensions the cost quadruples</span>

5 0
3 years ago
Other questions:
  • 2x-4=10 reverse order algebra
    9·1 answer
  • Can someone help??plzzz..
    5·1 answer
  • Please help asap! i don’t know what the answer is!
    8·1 answer
  • Identify the following number: -2
    6·2 answers
  • What is the GCF of 10 and 12
    14·2 answers
  • Vertical angles must: check all that apply
    14·1 answer
  • Which function represents exponential decay?f(x)=1/2(2)xf(x)=3/4(-1/5)xf(x)=(7/2)xf(x)=2(2/3)x
    6·2 answers
  • A rectangular box has a square base. if the sum of the height and the perimeter of the square base is 12 in, what is the maximum
    6·1 answer
  • Can someone answer this question please answer it correctly if it’s corect I will mark you brainliest
    15·1 answer
  • Charlie made $198 for 11 hours of work. At the same rate, how many hours would he have to work to make $126? ​
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!