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lyudmila [28]
3 years ago
6

To solve the equation for x by completing the square what equation is equivalent to x^2-x-2=0

Mathematics
1 answer:
GuDViN [60]3 years ago
3 0
So to complete the square in
ax^2+bx+c=d form

make sure a=1
subtract c from both sides
take 1/2 of b and square it
add that to both sides
factor perfect square

1x^2-1x-2=0
a=1
move c to other side
add 2 to oth sides
x^2-1x=2
take 1/2 of b and square it
1/2 of -1=-1/2
squaer it
1/4
add that to both sides
x^2-1x+1/4=2+1/4
factor left side
(x-1/2)=2+1/4

first blank is 1/2

2+1/4=8/4+1/4=9/4

blanks are
1/2 and 9/4
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Answer:

216 cm^3

Step-by-step explanation:

I am assuming this is a right triangular prism

V = area of the base * height

We need to find the area of the triangular base

A triangle = 1/2 b*h

                = 1/2 (12)4

                = 24

Substituting this into the volume equation

V = 24 * 9

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8 0
3 years ago
Parisian sewer #1 contains 9 fewer gigantic rats—rats as big as cats, some might say—than parisian sewer #2. parisian sewer #2 c
Leya [2.2K]

There are different kinds of math problem. There will be 11 rats in sewer #1.

<h3>What are word problem?</h3>

The term  word problems is known to be problems that are associated with a story, math, etc. They are known to often vary in terms of technicality.

Lets take

sewer #1 = a

sewer #2 = b

sewer #3 = c

Note that   A=B-9

So then you would have:

A=B-9

B=C- 5

A+B+C=56

Then you have to do a substitution so as to find C:

(B- 9) + (C-5) + C = 56

{ (C- 5)-9} + (C-5) + C = 56

3C - 19 = 56

3C = 75

B = C- 5

B = 25 - 5

Therefore, B = 20

A = B - 9

= 25 - 9

=11

Therefore, there are are 11 rats in sewer #1

Learn more about  Word Problems from

brainly.com/question/21405634

8 0
2 years ago
Brandon buys a radio for $45.09 in a state where the sales tax is 7%. How much does he pay in taxes? If necessary round to the n
dusya [7]

Answer:

Step-by-step explanation:

tax = 7% of $45.09 = 0.07×$45.09 ≅ $3.16

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5 0
3 years ago
Graph this on a coordinate plane f(x)=2x^2-1
rodikova [14]

Answer:

Step-by-step explanation:

7 0
2 years ago
Marcelina uses a blend of white corn and yellow corn to make tortilla chips at her restaurant. She needs to buy 50kg of corn in
zlopas [31]

Answer:

Option D. Marcelina spends less that the intended amount of money and buy less than enough corn

Step-by-step explanation:

Let

x---->  is the amount of white corn she buys

y ---> is the amount of yellow corn she buys

we know that

She needs to buy 50 kg of corn in total

so

x+y=50 ----> equation A

She wants to spend $12 dollars total

so

0.30x+0.15y=12 ----> equation B

The solution of the system of equations is the intersection point both graphs

The solution is the point (30,20)

That means

Marcelina needs to buy 30 kg of white corn and 20 kg of yellow corn

we have the ordered pair F(15.15)

That means

15 kg of white corn and 15 kg of yellow corn

therefore

Total kg of corn bought is

15+15=30\ kg

30\ kg < 50\ kg

Total spend is

0.30(15)+0.15(15)=\$6.75

\$6.75

therefore

Marcelina spends less that the intended amount of money and buy less than enough corn

6 0
3 years ago
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