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
Cerrena [4.2K]
3 years ago
11

3. The difference of the squares of two positive consecutive odd integers is 32. Find the

Mathematics
1 answer:
abruzzese [7]3 years ago
4 0

Answer:

7,9

Step-by-step explanation:

Let two consecutive odd integer=X and (X+1)

The difference of the squares of two positive consecutive odd integers is 32.

So(X+2)^2-x^2=32

(x^2+4+4x)-x^2=32

x^2+4+4x-x^2=32

4x=32-4

4x=28

X=28/4

X=7

So first integer=7

Second integer=7+2

=9.

You might be interested in
The population of Arlington in 2000 was 12,475. In 2010 the population had grown to 17,926. What was the percent increase in the
melisa1 [442]

The formula for percent of increase/decrease:

difference in original and new/original x 100

17926-12475/12475=

5451/12475=

.4369

x 100=

43.7% increase


3 0
3 years ago
The two-way table shows the number of students that would rather be a member of the band or chorus if they could only choose one
sergey [27]

Answer:

There are 18 students in Grade 7, 10 are in band, so 10/18 = 0.56 are in band.

There are 12 students in Grade 8, 10 are in band, so 10/12 = 0.83 are in band.

Students in Grade 8 are more likely to be members of the band.There are 18 students in Grade 7, 10 are in band, so 10/18 = 0.56 are in band.

There are 12 students in Grade 8, 10 are in band, so 10/12 = 0.83 are in band.

Students in Grade 8 are more likely to be members of the band.

4 0
3 years ago
2.5/6 = h/9 h=? What does this mean
omeli [17]

Answer:

h = 3.75

Step-by-step explanation:

Step 1: Write equation

2.5/6 = h/9

Step 2: Solve for <em>h</em>

  1. Cross multiply: 22.5 = 6h
  2. Divide both sides by 6: 3.75 = h
  3. Rewrite: h = 3.75

Step 3: Check

<em>Plug in h to verify it's a solution.</em>

2.5/6 = 3.75/9

0.416667 = 0.416667

5 0
3 years ago
Read 2 more answers
a recipe calls for 5 tablespoons of orange juice a can of orange juice is 11 fluid ounces how many tablespoons of juice are in a
BartSMP [9]

Answer: 66 teaspoons

Step-by-step explanation: To get the answer all you have to do is multiply it by 6. 11 oz x 6 teaspoons = 66 teaspoons

6 0
3 years ago
The rate of change of the function f(x) = 8 sec(x) + 8 cos(x) is given by the expression 8 sec(x) tan(x) − 8 sin(x). Show that t
liq [111]

Answer:

Shown - See explanation

Step-by-step explanation:

Solution:-

- The given form for rate of change is:

                              8 sec(x) tan(x) − 8 sin(x).

- The form we need to show:

                              8 sin(x) tan2(x)

- We will first use reciprocal identities:

                              8\frac{sin(x)}{cos^2(x)} - 8sin(x)

- Now take LCM:

                            8\frac{sin(x)- sin(x)*cos^2(x)}{cos^2(x)}

- Using pythagorean identity , sin^2(x) + cos^2(x) = 1:

                            8*sin(x)*\frac{1- cos^2(x)}{cos^2(x)} = 8*sin(x)*\frac{sin^2(x)}{cos^2(x)}

- Again use pythagorean identity tan(x) = sin(x) / cos(x):

                            8*sin(x)*tan^2(x)

8 0
3 years ago
Read 2 more answers
Other questions:
  • Using the data provided in the tutorial below,which country won the most golden medals in the 1994 Winter Olympics?
    13·1 answer
  • A 6-sided number cube is rolled. What is the probability that it will land on a number greater than 2?
    13·1 answer
  • Is anyone else Edge not working?
    12·2 answers
  • If y= -12 when x= 9<br> find y when x= -4
    12·1 answer
  • Ms.Ferris owns a barn 12 yards long ,9 yards high, and 11 yards wide. If Ms.Ferris’s barn is rectangular,what is the volume of h
    14·1 answer
  • Need helpp fastt plss will give brainliest too who is correct plss helpp
    13·1 answer
  • Find the lateral area of the cylinder to the nearest tenth.
    7·2 answers
  • Solve the simultaneous equations<br>2x + 5y + 11 = 0<br>3x - y-8= 0​
    9·1 answer
  • Find the mean of the data in the bar chart below.
    5·2 answers
  • A, B &amp; C form a triangle where ∠ BAC = 90°. AB = 4.3 mm and CA = 3.1 mm. Find the length of BC give your ANSWR rounded to 1
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!