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2 years ago

Solve the following quadratic by completing the square. y = x2 - 6x +2

Mathematics

1 answer:

Nana76 [90]2 years ago

4 0

Answer: $3 \pm \sqrt{7}$

Step-by-step explanation:

$1) \text{ } x^{2}-6x+2=0\\\\2) \text{ } x^{2}-6x=-2\\\\3) \text{ } x^{2}-6x+\left(\frac{-6}{2} \right)^{2}=-2+\left(\frac{-6}{2} \right)^{2}=7\\\\4) \text{ } (x-3)^{2}=7\\\\5) \text{ } x-3 =\pm \sqrt{7} \longrightarrow \boxed{3 \pm \sqrt{7}}$

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(ANSWER FOR FREE BRAINPOINTS!) (FIRST TO ANSWER GETS BAINLIEST) The local park has a rectangular swimming pool that measures 40

iren [92.7K]

Answer:

9 yards

Step-by-step explanation:

Since both pools are similar, therefore the ratio of their length and width would be equal. That is:

Length of the current swimming pool : length of the new swimming pool = width of the current swimming pool : width of the new swimming pool

Thus, we can set up a proportion as shown below:

Let the width of the new swimming pool be x.

40 : 24 = 15 : x

$\frac{40}{24} = \frac{15}{x}$

Cross multiply

$40*x = 15*24$

$40x = 360$

Divide both sides by 40

$x = \frac{360}{40}$

$x = 9$

The width of the new swimming that is smaller would be 9 yards.

4 0

3 years ago

Draw a 6 × 6 grid. Colour 1

attashe74 [19]

Answer:

Step-by-step explanation:

there are 36 squares

red takes 1 of 4 so red has 9

blue takes 1 of 3 so blue has 12

5 of 12 of the grid is yellow

3 0

3 years ago

a worker's earring E are a function of the number of hour, H at a rate of 12/hr. write a function tule for the solution. How man

Romashka [77]

Answer:

$E=12(H)$

A person should work 32 hours to earn $384

Step-by-step explanation:

A worker's earring E are a function of the number of hour, H at a rate of 12/hr.

We need to write the function.

The function will be:

Earning is represented by E and Hour is represented by H

$E=12(H)$

Now, How many hours would a person have to work to earn 384

We are given E=384, we need to find H

Putting values in above function and finding hours H

$E=12(H)\\384=12(H)\\H=\frac{384}{12}\\H= 32$

So, A person should work 32 hours to earn $384

8 0

3 years ago

4x + 3y = 16 7x+6y=31 O A. (1,3) B. (1.4) C. (4,0) OD. (4,3) SUBMIT

klasskru [66]

Answer:

Step-by-step explanation:

Given the 2 equations

4x + 3y = 16 → (1)

7x + 6y = 31 → (2)

Multiplying (1) by - 2 and adding to (2) will eliminate the term in y

- 8x - 6y = - 32 → (3)

Add (2) and (3) term by term

- x = - 1 ( multiply both sides by - 1 )

x = 1

Substitute x = 1 in either of the 2 equations and solve for y

Substituting in (1)

4(1) + 3y = 16

4 + 3y = 16 ( subtract 4 from both sides )

3y = 12 ( divide both sides by 3 )

y = 4

Solution is (1, 4 ) → B

4 0

3 years ago

Needa get this math home work done pls help :’)

Finger [1]

1.99g+19.99
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4 0

3 years ago

Read 2 more answers