All categories

3 years ago

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>

Cross multiply: 22.5 = 6h
Divide both sides by 6: 3.75 = h
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