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4 years ago

What number should be added to both sides of the equation to complete the square? x2 – 6x = 5

Mathematics

1 answer:

choli [55]4 years ago

3 0

Answer: Add 9 to both sides to complete the square

Step-by-step explanation:

The formula for the number you need to add to complete the square is (b/2)^2. In this case, b = -6, so:

(b/2)^2 = (-6/2)^2 = (-3)^2 = 9.

(After adding 9 to both sides, you will get x^2 - 6x + 9 = 14 which can be factored to (x - 3)^2 = 14)

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Solve the equation 8x+10-2x=12+6x-2

eduard

Answer:

collect like terms

8x-2x-6x=12-2-10

8x-8x=12-12

Answer is = 0

3 0

3 years ago

Make a tree diagram and find each probability.

Dafna11 [192]

Answer: a) probability that the game will be canceled= 45%

b) probability there will be a light drizzle and the game will not be canceled=20%

Step-by-step explanation:

Since we have given that

Probability of heavy fog is given by

$P(F)=0.70$

Probability of a light drizzle is given by

$P(D)=0.30$

Probability of getting canceled a softball game due to light drizzle is given by

$P(C\mid D)=0.80$

Probability of getting canceled a softball game due to heavy fog is given by

$P(C\mid F)=0.30$

a. Find the probability that the game will be canceled.

Probability of getting the game be cancelled is given by

$P(C)=P(F)\times P(C\mid F)+P(D)\times P(C\mid D)\\\\P(C)=0.70\times 0.30+0.30\times 0.80\\\\P(C)=0.45\\\\P(C)=45\%$

b. Find the probability there will be a light drizzle and the game will not be canceled.

Probability that there will be a light drizzle and the game will not be canceled is given by

$P(C'\mid D)=1-P(C\mid D)\\\\P(C'\mid D)=1-0.80\\\\P(C'\mid D)=0.20\\\\P(C'\mid D)=20\%$

Hence, a) probability that the game will be canceled= 45%

b) probability there will be a light drizzle and the game will not be canceled=20%

8 0

3 years ago

A human hair was measured to have a diameter of 3.15 times 10 Superscript negative 3 inches. The width of a piece of paper was m

wolverine [178]

Answer:

43.21

Step-by-step explanation:

54 + 16

4 0

3 years ago

Answer choices: <br> a. 111 <br> b. 69<br> c. 86 <br> d. 71

dybincka [34]

Answer:

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ 1 is an exterior angle of the triangle , then

∠ 1 = 30° + 39° = 69°

4 0

3 years ago

Read 2 more answers

at davidson's bike rentals it cost $48 to rent a bike for 9 hours. how many hours of bike use does a customer get per dollar?

EastWind [94]

Answer:

About $5.33

Step-by-step explanation:

If u want to find out How many dollars per hour u do 48 divided by 9

Hope this helps

8 0

3 years ago