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liberstina [14]
3 years ago
9

Perform the indicated operation (a+3)^2/a-3 divided by 5/(a^2-9

Mathematics
2 answers:
posledela3 years ago
6 0

Answer:

The correct answer is (a + 3)³/5

Step-by-step explanation:

Points to remember:

1). (a + b)(a - b) = a² - b²

2). If we want to divide two fractions, we need to multiply the reciprocal of  divisor with dividend.

It is given that,

(a + 3)²/a-3  ÷ 5/(a²-9),

<u>To find the division result</u>

(a + 3)²/a-3  ÷ 5/(a² - 9)

Reciprocal of 5/(a² - 9) = (a² - 9)/5

(a + 3)²/a-3  ÷ 5/(a² - 9) = (a + 3)²/(a -3)  * (a² - 9)/5

(a² - 9) = (a + 3)(a - 3)          [ using identity]

(a + 3)²/(a -3)  * (a² - 9)/5 = (a + 3)²/(a -3)  * (a + 3)(a - 3) /5

= (a + 3)²(a + 3)(a - 3)/(a -3)5

=  (a + 3)²(a + 3)/5 =  (a + 3)³/5

Therefore the correct answer is (a + 3)³/5

Softa [21]3 years ago
4 0

Answer: (a+3)^3/5

Solution is in the pic

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Can I get some help on this one and if you could show its done I would appreciate it. Thank you.
Andreyy89
<h3>Answer: 5.5 which is choice B</h3>

Have a look at the diagram I posted below. I marked on your image to add in another angle. This angle is also 20 degrees because of congruent alternate interior angles (horizontal lines are parallel). This angle I add in is the reference angle of the triangle

opposite the reference angle is the vertical side x

adjacent to the reference angle is the horizontal side 15

We'll use the tangent rule. Make sure your calculator is in degree mode.

tan(angle) = opposite/adjacent

tan(20) = x/15

15*tan(20) = x <<-- multiply both sides by 15

x = 15*tan(20)

x = 5.45955 <<--- use calculator; this is approximate

x = 5.5 <<--- round to one decimal place

5 0
3 years ago
The answer to this................
pochemuha
Plot a point at the y-intercept of -2 or y = -2
--------------------------------------------------------------------
From there make a straight horizontal line 
---------------------------------------------------------------
Then Shade the upper-half of that line one color This shaded part stands for
Y > -2
-----------------------------------------------------------------------
Shade the lower half a different color, this stands for y ≤ 6
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That should be it!
3 0
3 years ago
The perimeter of a triangle is 93 ft. Side a of the triangle is twice as long as side b. Side c is 3 ft longer than side a. Find
Sunny_sXe [5.5K]

The length of side a is 36 feet and side b is 18 feet and side c is 39 feet

<em><u>Solution:</u></em>

Given that perimeter of triangle is 93 feet

The three sides of triangle are a, b, and c

<em><u>Given that Side a of the triangle is twice as long as side b</u></em>

side a = 2 times side b

a = 2b

b = \frac{a}{2}  ---- eqn 1

<em><u>Given that Side c is 3 ft longer than side a</u></em>

side c = 3 + side a

c = 3 + a ------ eqn 2

<em><u>The perimeter of triangle is given as:</u></em>

p = a + b + c

Where a, b, c are the length of sides of triangle

Substitute eqn 1 and eqn 2 in above formula

p = a + \frac{a}{2} + 3 + a

Given that perimeter = 93

93 = a + \frac{a}{2} + 3 + a\\\\93 = \frac{2a + a + 6 + 2a}{2}\\\\93 \times 2 = 2a + a + 6 + 2a\\\\186 = 5a + 6\\\\5a = 186 - 6\\\\5a = 180\\\\a = 36

Thus length of side a = 36 feet

<em><u>Length of side b :</u></em>

from eqn 1

b = \frac{36}{2} = 18

b = 18 feet

<em><u>Length of side c:</u></em>

From eqn 2,

c = 3 + 36 = 39

c = 39 feet

Thus length of side a is 36 feet and side b is 18 feet and side c is 39 feet

6 0
3 years ago
The following box whisker plot shows the number of free throws made during basket ball practice. What percent of players made 13
andreev551 [17]

Answer:

80%

Step-by-step explanation:

There are five separate points. One represents students who made more than 13 baskets. The other four represent students who made 13 or less baskets. 4/5 (four-fifths) is equal to 80%.

5 0
2 years ago
Which term is used to describe the opposite of distributing?
OLEGan [10]
Hi

opposite is factoring

8 0
3 years ago
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