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
frozen [14]
2 years ago
15

Solve the following quadratic equations by extracting square roots.Answer the questions that follow.

Mathematics
2 answers:
Delicious77 [7]2 years ago
8 0

Answer:

1.+4,-4\\2. +9,-9\\3. +10,-10\\4. +12, -12\\5. +5, -5

Step-by-step explanation:

IN order to solve the quadratic equations you just have to solve the square root of the numeric part of the equation:

x^{2} =16\\x=\sqrt{16}\\ x= +4, -4

t^{2} =16\\t=\sqrt{81}\\ x= +9, -9

r^{2} =100\\r=\sqrt{100}\\ x= +10, -10

x^{2} -144=0\\x=\sqrt{144}\\ x= +12, -12

2s^{2}=50\\s^{2}=\frac{50}{2} \\s=\sqrt{25}\\ s= +5, -5

Just remember that the solution for any square root will always be a negative and a positive number.

Vikentia [17]2 years ago
4 0

Answer:

1.  x=±4

2. t=±9

3. r=±10

4. x=±12

5. s=±5

Step-by-step explanation:

1. x^2 = 16

Taking square root on both sides

\sqrt{x^2}=\sqrt{16}\\\sqrt{x^2}=\sqrt{(4)^2}\\

x=±4

2. t^2=81

Taking square root on both sides

\sqrt{t^2}=\sqrt{81}\\\sqrt{t^2}=\sqrt{(9)^2}

t=±9

3. r^2-100=0

r^{2}-100=0\\r^2 =100\\Taking\ Square\ root\ on\ both\ sides\\\sqrt{r^2}=\sqrt{100}\\\sqrt{r^2}=\sqrt{(10)^2}

r=±10

4. x²-144=0

x²=144

Taking square root on both sides

\sqrt{x^2}=\sqrt{144}\\\sqrt{x^2}=\sqrt{(12)^2}

x=±12

5. 2s²=50

\frac{2s^2}{2} =\frac{50}{2}\\s^2=25\\Taking\ Square\ root\ on\ both\ sides\\\sqrt{s^2}=\sqrt{25}\\\sqrt{s^2}=\sqrt{(5)^2}

s=±5 ..

You might be interested in
You are trapped in a dark cave with three indistinguishable exists on the walls. One of the exits takes you 3 hours to travel an
bija089 [108]

Answer:

6 HOURS

Step-by-step explanation:

5 0
3 years ago
According to​ psychologists, IQs are normally​ distributed, with a mean of 100 and a standard deviation of 15 . a. What percenta
Angelina_Jolie [31]
Answer: 34%.

By definition of normal distribution, ≈68% of the data is within 1 standard deviation of the mean. Therefore 68% of IQs are between 85 and 115, and half of that is on the lower end, 85 to 100.
3 0
2 years ago
3. Find the values of the variables and the lengths of the sides of this kite.
Kazeer [188]

Answer:

So, the correct option is A. x = 9, y = 14 , Sides are 11 and 20

Step-by-step explanation:

P.S - the exact question is -

As given in the question ,

Side AB = Side AD

⇒y - 3 = x + 2

⇒y - x = 2 + 3 = 5

⇒y - x = 5                        .........(1)

Also, given

Side BC = Side CD

⇒2x + 2 = x + 11

⇒2x - x = 11 - 2

⇒x = 9

∴ equation (1) becomes

y - 9 = 5

⇒y = 5 + 9 = 14

⇒y = 14

∴ we get

x = 9, y = 14

Now,

as given ,

Side AB = y - 3

⇒ AB = 14 - 3 = 11

Side BC = 2x + 2

⇒ BC = 2(9) + 2 = 18 + 2 = 20

Side CD = x + 11

⇒ CD = 9 + 11 = 20

Side DA = x + 2

⇒DA = 9 + 2 = 11

∴ we get

The sides are 11 and 20

So,

The correct option is A. x = 9, y = 14 , Sides are 11 and 20

8 0
2 years ago
Using the formula c=2r, find the circumference with diameter of 28inches. Round your answer to the nearest inch.
Furkat [3]

Radius is equal to 1/2 the diameter. The radius is 14 (28/2=14)

With your formula:

c=2*14

c=28

HOWEVER I believe you meant

c=2(pi)r

In which

c=2(pi)14

c=28(pi)

In this instance for pi we can use 3.14 since we will be rounding anyway, so

c=28*3.14

c=87.92

Rounded to be

c=88

Note:

If we didn’t round pi out to 3.14 we would have gotten 87.964594...

5 0
3 years ago
A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n indepe
asambeis [7]

Answer:

The binomial mean, or the expected number of successes in n trials, is E(X) = np. The standard deviation is Sqrt(npq), where q = 1-p. The standard deviation is a measure of spread and it increases with n and decreases as p approaches 0 or 1.

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • Which of the following is most likely the next step in the series?
    14·2 answers
  • Johnson middle school had 240 students last year. This year. There are 192 students. Find the percent of change. State whether t
    12·1 answer
  • The area of a rectangle is 72cm2 the Length of the rectangle is 6cm longer than the width
    5·2 answers
  • In this exercise, we estimate the rate at which the total personal income is rising in the Richmond-Petersburg, Virginia, metrop
    11·1 answer
  • Which statement is true about this argument? Premises: If a triangle has an angle that measures 150°, then it is an obtuse trian
    7·1 answer
  • The National Research Council recommends keeping 3:1 cooper to zinc ration in a horse’s diet.if the horse is getting 420mg of zi
    11·2 answers
  • a straight line has a equation 4x + 3y = 12 . find the gradient of the line and the coordinates of the point where this line cro
    7·1 answer
  • 100 to 150. What is the percent of change?
    14·2 answers
  • Q12.
    6·1 answer
  • What equation can relate to this sentence 11 is the quotient of a number y and 6 ?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!