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
Stels [109]
3 years ago
11

The Area of a square at right is 72 square units Find the value of X, Did I do this right?

Mathematics
1 answer:
Assoli18 [71]3 years ago
5 0
Yes, your work is correct.

The diagram does illustrate x²+6x+9=72.  This is also represented by

(x+3)² = 72

We can take the square root of both sides:
\sqrt{(x+3)^2}=\sqrt{72}
\\
\\x+3=\pm 6 \sqrt2
\\
\\x+3-3=\pm 6 \sqrt{2} -3
\\
\\x=-3\pm 6\sqrt{2}

When we evaluate this, the answers are x = -11.5 or x = 5.5.
You might be interested in
Question 3
BigorU [14]

Answer:

  30 mph

Step-by-step explanation:

time = distance/speed

If x represents Jane's speed along the summit then her total exploration time is ...

  12/x + 40/(x -5) = 2 . . . . . hours

Multiplying by (x)(x -5), we get ...

  12(x -5) +40(x) = 2(x)(x -5)

Dividing by 2 and subtracting the left side gives ...

  x^2 -31x +30 = 0

  (x -30)(x -1) = 0 . . . . . factor

Solutions are x = 30 and x = 1, values of x that make the factors zero. A speed of 1 mph makes no sense in this problem, so ...

Jane's speed along the summit was 30 mph.

3 0
3 years ago
Read 2 more answers
You rode a bicyde for 2 hours and travelled 43 km, calculate your average<br>speed.​
cupoosta [38]

Answer:

22.5km per hour

Step-by-step explanation:

5 0
3 years ago
Sistemas de ecuaciones
kolezko [41]

Answer:

El Dr. Potter aplicó 32 vacunas de polio y 28 de sarampión.

Step-by-step explanation:

- First, the data must be taken into account to create the equations:

  •  X + Y = 60;    (Equation 1)

- Where:

 X = Number of polio vaccines and Y = Number of measles vaccines.

  •  4X + 2Y = 184;     (Equation 2)

Where for each polio vaccine there are 4 doses and for each measles vaccine there are 2 doses.

- We clear the variable that we want to find in each equation:

  • Y = 60 - X;     (And we call it equation 3)
  • Y = (184-4X) / 2;     (And we call it equation 4)

- Now both equations are equalized in terms of the same variable:

  • 60 - X = (184 - 4X) / 2

- Then X is cleared to find its value:

  • 120 - 2X = 184 - 4X
  • 4X - 2X = 184 - 120
  • 2X = 64
  • X = 32

- Now we demonstrate the value of X obtained in equation 1 or 2 to give the values ​​of Y

  • (32) + Y = 60
  • Y = 60 - 32
  • Y = 28

- Finally, both values ​​are used to see if equation 2 gives us the correct data:

  • 4 (32) + 2 (28) = 184
  • 128 + 56 = 184

- The answer is given:

Dr. Potter gave 32 polio and 28 measles vaccines.

6 0
3 years ago
Choose the equation that represents the graph below:
ehidna [41]
Y=x+3 because when x=0 y=3
5 0
3 years ago
Please help me out!​
gavmur [86]

Answer:

B is correct because it value become 15^9

Step-by-step explanation:

5 0
2 years ago
Other questions:
  • 19-(3-5b)<br>....,.......​
    13·1 answer
  • After he completed his graduate work, he became a professor at
    9·1 answer
  • Evaluate 4.8 divided by 0.08
    7·2 answers
  • How do i factor 54a + 24b
    6·2 answers
  • In this triangle, =
    13·1 answer
  • Is 104.12 greater than 104.002
    15·1 answer
  • The Satya Vansh become an important dynasty in the world of ​
    15·1 answer
  • What is a question that could be used to collect categorical data??
    5·1 answer
  • A tank is in the shape of a cylinder 7 feet tall and 10 feet and radius find the exact surface area of the tank
    6·1 answer
  • What is the measure of angle y in this figure?<br><br> Enter your answer in the box.<br><br> y=__°
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!