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3 years ago

What number should be added to both sides of the equation to complete the square?

Mathematics

2 answers:

omeli [17]3 years ago

4 0

-6. its to make the equation equal

SCORPION-xisa [38]3 years ago

3 0

Answer:

The number that is added both side to make the equation a perfect square is

$\frac{9}{4}$

Step-by-step explanation:

The given equation is : $x^{2} +3x=6$

The equation is of the form $ax^{2} +bx+c=0$

To solve the equation by completing a square we take half of b term and square it .

This is added to both sides.

Comparing the equations we have b=3 .

We take half of 3 and square it that is :

$(\frac{3}{2}) ^{2} =\frac{9}{4}$

So $\frac{9}{4}$ isadded to both side to complete the square .

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A triangle has one acute angle as the complement of the other. find the third angle

Bogdan [553]

Answer: 90 degrees

Step-by-step explanation:

Complementary angles add up to 90 degrees. Since a triangle has 180 degrees total, the other angle is 90 degrees

8 0

2 years ago

Read 2 more answers

Josh went to applebee and enjoyed a delicious steak. He enjoyed his server and wanted to give an extra special tip. Usually josh

Sonbull [250]

Answer:

Josh's total bill is $ 27.825

Step-by-step explanation:

Given:

The subtotal of the Josh Bill = $21.00

Finding the usual amount Josh gave as Tip To his sever:

Usually josh tips 20% to all servers

So Tip = 20% of his subtotal

=> $20\% \times 21$

=> $\frac{20}{100} \times 21$

=> $0.2 \times 21$

=>4.2

So Josh usually tips $4.2 to his server

Finding the amount Josh gave 25% as Tip To his sever:

But now he tips 25% which is

=> 25% of 21

=> $\frac{25}{100} \times 21$

=> $0.25 \times 21$

=> 5.25

Thus the tip amount will be $5.25

So he will be giving (5.25 - 4.2) = $1.05 more than the usual tip

Finding the total bill

The total bill = subtotal+ 7.5% sales tax + 25% tip

=> 21 + 7.5 % of 21 + 25% of 21

=> $21 + \frac{75}{100} \times 21 + \frac{25}{100} \times 21$

=> $21 +0.075 \times 21 + 0.25 \times 21$

=> 21 +1.575 +5.25

=>27.825

3 0

2 years ago

By coincidence, Kimberly's Paint Supplies sold equal quantities of two paint colors yesterday: yellow and blue. All yellow paint

Vlad1618 [11]

Answer:

36 liters

Step-by-step explanation:

We solve this question using the least common multiple method

Find and list multiples of the liter the blue paint comes in the liters the yellow paint comes in. We find the first common multiple is found. This is the least common multiple.

Multiples of 9:

9, 18, 27, 36, 45, 54

Multiples of 12:

12, 24, 36, 48, 60

Therefore,

LCM(9, 12) = 36

Hence, the smallest amount of each paint color the store must have sold is 36 liters

8 0

3 years ago

3x-2x+8=12; x=4 Determine if the value of x is a solution to the equation

VARVARA [1.3K]

Step-by-step explanation:

3x - 2x + 8 = 12; x=4

Now, Evaluate the value of x

3(4) - 2(4) + 8 = 12

12 - 8 + 8 = 12

12 + 0 = 12

12 = 12

4 0

2 years ago

Tennis balls with a diameter of 2.5 inches are sold in cans of three. The can is a cylinder. What is the volume of the space NOT

katrin2010 [14]

We know that
volume of a sphere=(4/3)*pi*r³------> volume of a tennis ball
for r=2.5/2-----> 1.25 in
volume of a sphere=(4/3)*pi*1.25³------> 8.18 in³
volume of 3 tennis ball=3*8.18-----> 24.54 in³

volume of a cylinder=pi*r²*h
r=1.25 in
h=2.5*3-----> 7.5 in
volume of a cylinder=pi*1.25²*7.5-----> 36.82 in³

the volume of the space NOT occupied by the tennis balls=36.82-24.54
the volume of the space NOT occupied by the tennis balls=12.28 in³

the answer is
12.3 in³

8 0

3 years ago