how to use Lcd in this problem? [a-2. -_1_ =_3_]find Lcd [ a+3 1 a-2]. (a+3)(a+2). multiply all neumerator to (LCD) a-2 - 1= 3 ___ _ a/+3. a+/2 (a-6 )(a+6) - 1 (a+2)(a+3)(a+2/)/*) negative a +positive2: distribuet: (a(a+3)++2. = (a+3)

Answers

Answer 1

It's not entirely clear to me what you're trying to solve, but it looks like the initial equation is

[tex]\dfrac{a-2}{a+3} -1 = \dfrac3{a+2}[/tex]

First convert each term into a fraction with the same (i.e. the least common) denominator. The first term needs to be multiplied by a + 2; the second term by (a + 3) (a + 2); and the third term by a + 3 :

[tex]\dfrac{a-2}{a+3}\cdot\dfrac{a+2}{a+2} -1\cdot\dfrac{(a+3)(a+2)}{(a+3)(a+2)} = \dfrac3{a+2}\cdot\dfrac{a+3}{a+3} \\\\ \dfrac{(a-2)(a+2)}{(a+3)(a+2)} - \dfrac{(a+3)(a+2)}{(a+3)(a+2)} = \dfrac{3(a+3)}{(a+3)(a+2)}[/tex]

Now that everything has the same denominator, we can combine the fractions into one. Move every term to one side and join the numerators:

[tex]\dfrac{(a-2)(a+2)-(a+3)(a+2)-3(a+3)}{(a+3)(a+2)} = 0[/tex]

Simplify the numerator:

[tex]\dfrac{(a^2-4)-(a^2+5a+6)-(3a+9)}{(a+3)(a+2)} = 0 \\\\ \dfrac{-8a-19}{(a+3)(a+2)} = 0[/tex]

If neither a = -3 nor a = -2, we can ignore the denominator:

[tex]-8a-19 = 0[/tex]

Solve for a :

[tex]-8a = 19 \\\\ \boxed{a = -\dfrac{19}8}[/tex]

Related Questions

How many vertices can be connected in 351 ways?

Answers

Answer: A spanning tree

Step-by-step explanation:

Given lines are parallel, find the value of x.
Then determine the measure of the angle.

Answers

Answers:

x = 45angle measure = 104 degrees

============================================================

Explanation:

These angles are on alternating sides of the transversal line, and they are exterior of the parallel lines. Therefore, these are alternate exterior angles.

Alternate exterior angles are congruent when we have parallel lines like this.

Set the two expressions equal to each other. Solve for x.

3x-31 = x+59

3x-x = 59+31

2x = 90

x = 90/2

x = 45

Then we can find that:

3x-31 = 3*45-31 = 135-31 = 104x+59 = 45+59 = 104

Both alternate exterior angles are 104 degrees each, which confirms we have the correct x value.

Select the correct answer.
Which of the graphs below represents the equation 3x − 2y = -12?

Graph A Graph B

Graph C Graph D

A.
Graph A
B.
Graph B
C.
Graph C
D.
Graph D

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Answer:

answer is D

Step-by-step explanation:

Answer: D.

Step-by-step explanation:

what is the percentage of 3.5

Answers

Answer:

350%

Step-by-step explanation:

First, there is a whole number in the ones place, so that number will be in the hundreds place of your percent. Then to find the percent of 0.5 you put the decimal part over 10:

5/10 = 1/2 = 50%

Write the equation of the horizontal line that goes through the
point (9,6).

Answers

Answer: y=6

Explanation: If you put the equation y=6 into graph form (as seen in the picture below) you will have a horizontal line that goes through the point (9,6)

(P.S the black dot represents the point (9,6))

Look at the picture and answer but I also need the value for each image

Answers

Answer:

15...your welcome my dude

1/5+1/2+1/4 reduce to lowest terms as indicated

Answers

Answer:

Step-by-step explanation:

LCM of 5 , 2 and 4 = 20

[tex]\dfrac{1}{5}+\dfrac{1}{2}+\dfrac{1}{4}=\dfrac{1*4}{5*4}+\dfrac{1*10}{2*10}+\dfrac{1*5}{4*5}\\\\=\dfrac{4}{20}+\dfrac{10}{20}+\dfrac{5}{20}\\\\=\dfrac{4+10+5}{20}\\\\=\dfrac{19}{20}[/tex]

What is the slope of the line in the xy plane that passes through the points {-5/2 ,1} and {-1/2, 4}?

Answers

Answer:

m=3/2

Step-by-step explanation:

the line: y=mx+b

This line passes through the points

-> These points (x,y) are on the line

(-5/2,1) : x=-5/2 y=1

1=-5/2m+b

(-1/2,4) : x=-1/2 y=4

4=-1/2m+b

We have a system of equation:

1=-5/2m+b

4=-1/2m+b

After solving this, we have m=3/2 b=19/4

-> The slope is 3/2

What is the sum of the following problem: 5 + 7 + (-11)

Answers

The answer is 1 this is because if you simply it it actually says 12 - 11

Hope this helps

A rectangle is 19 feet long and 3 feet wide. Find its area,
67 square feet
22 square feet
37 square feet
60 square feet

Answers

Answer:

19 times 3 equal 57

Step-by-step explanation:

57 square feet

Prove that for any natural n the value of the expression (4n+5)^2–9 is divisible by 4.

thank you !!!
please show work, not just the answer

Answers

Answer:

4 n (2) + 10 n +4

Step-by-step explanation:

Simplify the expression by opening parenthesis:

(4n + 5)² - 9 =(4n)² + 2*5*(4n) + 25 - 9 =4(4n²) + 4(10n) + 4(4) =4(4n² + 10n + 4)

As we see the expression has 4 as one of factors so is divisible by 4.

Please me I'm begging you

Answers

Step-by-step explanation:

[tex]y - [ - x - (y + 15)] \\ = ( - 9) - [ - (18)- (( - 9) + 15)] \\ = ( - 9) - [ - (18)- ( 6)] \\ = ( - 9) - [ - 24] \\ = - 9 + 24 = \boxed{15} \\ \\ - 6(x - 2) - 5(x + 7) \\ = - 6x + 12 - 5x - 35 \\\boxed{ = - 11x - 23 }\\ \\ \frac{3}{4}( 4x + \frac{4}{3} ) = 4x \\ 3x + 1 = 4x \\ 4x - 3x = 1 \\ \boxed{ x = 1}[/tex]

Find the volume of the sphere. Use 3.14 for n. Round to the nearest tenth. radius= 6ft.

Answers

18.84 because I said so

USE ME TO GET POINTS!!!

What’s 2 + 2?

Will also mark Brainlyest.

Answers

2+2=4 Steps: two apple plus two apples together makes 4 apples

Add the linear expressions
(-4x – 2 – x) + (2x − 2)
What is the sum?
Enter your answer in the box.

Answers

Answer:

-3x -4

Step-by-step explanation:

did the test

What kind of transformation is depicted in the picture below?

Answers

Answer:

dilation

Step-by-step explanation:

Hope this helps!

Answer:

Dilation

Step-by-step explanation:

The image is bigger

Please help ive been stuck in this question

Answers

Answer:

The choice A.

Step-by-step explanation:

sin= Opposite/ hypotenuse

[tex] \sin(30) = \frac{ \sqrt{15} }{x} \\ \\ x = 2 \sqrt{15} [/tex]

tan = opposite/adjacent

[tex] \tan(30) = \frac{ \sqrt{15} }{y} \\ \\ y = 3 \sqrt{5} [/tex]

I hope I helped you^_^

PLZ I NEED HELP ON THIS PROBLEM

Answers

Answer:

-4x+1/10

Step-by-step explanation:

hope this helps mb if its wrong

is 2/3 of 12 equal to 9

Answers

Answer: o

Step-by-step explanation:

Answer:

Step-by-step explanation:

two thirds of 12 is 8

What is the x and y intercepts

Answers

Answer:

Y= 2 X= None

Step-by-step explanation:

There is no X-interecpt because the line does not cross through x. Y-intercept is 2 because the line crosses through 2.

A stockbroker dealt with 30 customers on a certain day. Of these, 12 bought and sold stocks and 17 sold stocks (but did not buy). How many of the customers bought stocks (but did not sell)?

Answers

Answer:

Step-by-step explanation:

30=17+x-12

Nathan usually drinks 35 ounces of water per day. He read that he should drink 68 ounces of water per day. If he starts drinking 68 ounces, what is the percent increase? Round to the nearest percent. Please help me

Answers

Answer:

It’s 61.40 percent so rounding to the nearest percent would be 61% he needs to increase

Question is attached.
Step by step explanation needed!

Answers

Refer to the Attachment.

Hence proved.

Refer to the attachment

Arthur bought a life insurance policy at $10.98 per month for a 20 year term. What will he pay over 20 years for the premium?

$1,800.00

$2635.20

$988.20

$2,830.00

Answers

12(months) x 20 (years) = 240

10.98 x 240 = 2635.20

So Arthur will pay $2635.20 over 20 years for premium.

I hope this helps :)

Arthur will pay $2635.20 for 20 years for premium

Which equation is correct?

8 dot 8 equals 8 Superscript 2 equals 16.
9 dot 9 equals 2 left-parenthesis 9 right-parenthesis equals 18.
10 dot 10 equals 2 left-parenthesis 10 right-parenthesis equals 100.
11 dot 11 equals 11 Superscript 2 equals 121.

Answers

The equation that is correct is 11.11 = 11² = 121. The correct answer is the fourth option: 11 dot 11 equals 11 Superscript 2 equals 121 (11.11 = 11² = 121)

From the question,

We are to determine which of the options is correct.

To determine which of the options is correct, we will evaluate the options one after the other.

For the first option

8 dot 8 equals 8 Superscript 2 equals 16

That is,

8.8 = 8² = 16

Evaluating properly

8.8 = 8² = 8 × 8 = 64

Then, 8.8 = 8² ≠ 16

∴ This is NOT correct

For the second option

9 dot 9 equals 2 left-parenthesis 9 right-parenthesis equals 18

That is,

9.9 = 2(9) = 18

Evaluating properly

9.9 = 9 × 9 = 9² = 81

Then, 9.9 ≠ 2(9) = 18

∴ This is NOT correct

For the third option

10 dot 10 equals 2 left-parenthesis 10 right-parenthesis equals 100

That is,

10.10 = 2(10) = 100

Evaluating properly

10.10 = 10 × 10 = 10² = 100

Then, 10.10 ≠ 2(10) ≠ 100

∴This is NOT correct

For the fourth option

11 dot 11 equals 11 Superscript 2 equals 121

That is,

11.11 = 11² = 121

Evaluating properly

11.11 = 11² = 11 × 11 = 121

Then, 11.11 = 11² = 121

This is correct.

Hence, the equation that is correct is 11.11 = 11² = 121. The correct answer is the fourth option: 11 dot 11 equals 11 Superscript 2 equals 121 (11.11 = 11² = 121)

Learn more here: https://brainly.com/question/12872403

solve pls brainliest

Answers

The answer is 10 :)))

What is this number written in word form? 2,080,000,000 no links
A. Two hundred eighty million
B. Two billion, eighty million
C. Two thousand eight hundred million
D. Two million, eighty thousand

Answers

B!!!!!!!!!!!!!!!!!!!!

Answer: B. Two billion, eighty million :)

A field is a rectangle with a perimeter of 1200 feet. The length is 200 feet more than the width. Find the width and length of the rectangle field

Answers

the length is 400 and the width is 200!!

Answer:

Step-by-step explanation:

let the width be w

p=l*w

1200= 200*w

1200= 200w

1200 = 200w

6 feet = w

width is 6 feet

let the length be a

p = l* w

1200 = a* 6

1200 = 6a

200 feet = a

length is 200 feet

HELLPPPPPPP

The graph below plots a function f(x):

If x represents time, the average rate of change of the function f(x) in the first two seconds is
(1 point)

Answers

The answer is 50! Rate of change= y1-y2/x1-x2

There are 24 student in kyle’s kindergarten class. How many ways can he choose eight to atten his birthday party

Answers

Answer: 735,471

This is one number

======================================================

Work Shown:

[tex]_{n} C _{r} = \frac{n!}{r!*(n-r)!}\\\\_{24} C _{8} = \frac{24!}{8!*(24-8)!}\\\\_{24} C _{8} = \frac{24!}{8!*16!}\\\\_{24} C _{8} = \frac{24*23*22*21*20*19*18*17*16!}{8!*16!}\\\\_{24} C _{8} = \frac{24*23*22*21*20*19*18*17}{8!}\\\\_{24} C _{8} = \frac{24*23*22*21*20*19*18*17}{8*7*6*5*4*3*2*1}\\\\_{24} C _{8} = \frac{29,654,190,720}{40,320}\\\\_{24} C _{8} = 735,471\\\\[/tex]

We use the nCr combination formula because order doesn't matter.

The number of ways Kyle’s choose eight to attend his birthday party is 43263.

What is a combination?

Combinations are selections made by taking some or all of a number of objects, irrespective of their arrangements. The number of combinations of n different things taken r at a time, denoted by nCr and it is given by, ⁿCr=n!/r!(n−r)!,where 0 ≤ r ≤ n.

Given that, there are 24 student in Kyle’s kindergarten class.

He choose eight to attend his birthday party

Now, number of ways is

²⁴C₈= 24!/8!(24-8)!

= 24×23×22×21×20×19×18×17×16!/8! 16!

= 24×23×22×21×20×19×18×17/8×7×6×5×4×3×2×1

= 3×23×11×3×4×19×3×17/4×3

= 3×23×11×3×19

= 43263

Therefore, the number of ways Kyle’s choose eight to attend his birthday party is 43263.

To learn more about the permutation and combination visit:

https://brainly.com/question/28065038.

#SPJ2

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how to use Lcd in this problem? [a-2. -_1_ =_3_]find Lcd [ a+3 1 a-2]. (a+3)(a+2). multiply all neumerator to (LCD) a-2 - 1= 3 ___ _ a/+3. a+/2 (a-6 )(a+6) - 1 (a+2)(a+3)(a+2/)/*) negative a +positive2: distribuet: (a(a+3)++2. = (a+3)​

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how to use Lcd in this problem? [a-2. -_1_ =_3_]find Lcd [ a+3 1 a-2]. (a+3)(a+2). multiply all neumerator to (LCD) a-2 - 1= 3 ___ _ a/+3. a+/2 (a-6 )(a+6) - 1 (a+2)(a+3)(a+2/)/*) negative a +positive2: distribuet: (a(a+3)++2. = (a+3)