Graph the line with the equation y=
- 1/5x + 4

Given:

The expression is

[tex]\dfrac{2}{a-2}-\dfrac{8}{a^2-4}[/tex]

To find:

The simplified form of the given expression.

Solution:

We have,

[tex]\dfrac{2}{a-2}-\dfrac{8}{a^2-4}[/tex]

It can be written as

[tex]=\dfrac{2}{a-2}-\dfrac{8}{a^2-2^2}[/tex]

[tex]=\dfrac{2}{a-2}-\dfrac{8}{(a-2)(a+2)}[/tex]            [tex][\because a^2-b^2=(a-b)(a+b)][/tex]

Taking LCM, we get

[tex]=\dfrac{2(a+2)-8}{(a-2)(a+2)}[/tex]

[tex]=\dfrac{2a+4-8}{(a-2)(a+2)}[/tex]

[tex]=\dfrac{2a-4}{(a-2)(a+2)}[/tex]

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

Cancel out the common factors.

[tex]=\dfrac{2}{a+2}[/tex]

Therefore, the simplified form of the given expression is [tex]\dfrac{2}{a+2}[/tex].

Answer:

y=3,000(0.92)^x

Step-by-step explanation:

your computer is worth $2, 336.04

[tex]\sqrt{5}[/tex] is in between 2 and 3

[tex]\sqrt{105}[/tex] is in between 10 and 11

[tex]\sqrt{99}[/tex] is in between 9 and 10

[tex]\sqrt{27}[/tex] is in between 5 and 6

[tex]\sqrt{2}[/tex] is in between 1 and 2

[tex]\sqrt{67}[/tex] is in between 8 and 9

[tex]\sqrt{133}[/tex] is in between 11 and 12

[tex]\sqrt{90}[/tex] is in between 9 and 10

Answer:

[tex] \sqrt{5} = 2.24[/tex]

[tex] \sqrt{105} = 10.24[/tex]

[tex] \sqrt{99 } = 9.95[/tex]

[tex] \sqrt{27} = 5.2[/tex]

[tex] \sqrt{2} = 1.4[/tex]

[tex] \sqrt{133} = 11.53[/tex]

[tex] \sqrt{90} = 9.49[/tex]

[tex] \sqrt{67} = 8.16[/tex]

without being able to read the question at the top, I can not tell you what you should do, but these are the square roots of each number.

Answer:

Sexual reproduction promotes variable gene combinations in a population leading to genetic variation. Examples of genetic variation include eye color, blood type, camouflage in animals, and leaf modification in plants

Step-by-step explanation:

Answer:

$600,000

Step-by-step explanation:

interest = 3/100 × 40,000 = $1200

4 months = 1/3 years

[tex]p = \frac{100 \times i}{rt} = \frac{100 \times 1200}{3 \times \frac{1}{3} } = 120000[/tex]

$120,000 in 1 year

5years, 120,000×5 = $600,000

Answer:

here u go

Step-by-step explanation:

$600,000

Step-by-step explanation:

interest = 3/100 × 40,000 = $1200

Answer:

305

Step-by-step explanation:

sorry if im not right

Answer:

105

Step-by-step explanation: because when you look at North main Street and East 1st Street the angle is obtuse and 105 is the only obtuse angle.

Answer:

y = 3x

Step-by-step explanation:

y = 3 and x = 3 doesn't touch 0, 0

Answer:

$6727.50

Step-by-step explanation:

35/1000*6500

= 35*6.5

=227.50

6500+217.50

6727.50

Answer:

Step-by-step explanation:

Answer:

0.485 in decimals

Answer:

temp after 13 minutes is 330 degrees

Step-by-step explanation:

70+(20/13)=260+70=330

Answer:

330 Degrees

Step-by-step explanation:

First, you will want to multiply 20 timesthe time 13. You would get 260, but don't forget about the initial temperaure of 70 so add that, and you will get 330 degrees. I hope this helps :)

Answer:

bad quality man im sorry

Step-by-step explanation:

Answer:

Hong Wu means...

Step-by-step explanation:

The last one

Answer:

Its D

Step-by-step explanation:

Answer:

I am pretty sure its g(x) = 3x + 11

Answer:

id say A

because its an opened circle, and when its opened its usually not with the little dash and there's no negative number (that i know of)

Answer:

5

Step-by-step explanation:

square root q = 6 meaning that q is 36, when q/p = 4 you can plug in36 for q and divide by 4 getting 9 and now you have q = 36 and p = 9, and p+9=45 and 45/5=9 meaning that s is 5.

Answer:

The measures of the three interior angles of the triangle are {40,55,85}.

Step-by-step explanation:

Let a = the measure of the first angle of the triangle.

Let b = the measure of the second angle of the triangle.

Let c = the measure of the third angle of the triangle.

The problem statement tells us that

(1) a = a

(2) b = a + 15 and

(3) c = a + 45

Now we (should) know that the sum of the three angles of a triangle is 180 degrees. Then we get

(4) a + b + c = 180 or by substitution we get

(5) a + (a + 15) + (a + 45) = 180 or

(6) a + a + 15 + a + 45 = 180 or

(7) 3*a + 60 = 180 or

(8) 3*a = 180 - 60 or

(9) 3*a = 120

Now divide both sides of (9) by 3 to get

(10) 3*a/3 = 120/3 or

(11) a = 40

Using (2) and (3) we get

(12) b = 40 + 15 or

(13) b = 55 and

(14) c = 40 + 45 or

(15) c = 55

Always check the answer. Use (4)

Is (40 + 55 + 85 = 180)?

Is (95 + 85 = 180)?

Is (180 = 180)? Yes

The measures of the three interior angles would be as follows:

40°,55°,85°

If we assume the first angle(∠1) to be [tex]x[/tex],

so, the second angle(∠2) [tex]= x + 15[/tex]

while the third angle(∠3) [tex]= x + 45[/tex]

Through the Angle Sum Property, we know:

∠1 + ∠2 + ∠3 = 180°

By applying the above expressions, we get

[tex]x + (x + 15) + (x + 45) = 180[/tex]°

⇒ [tex]3x + 60 = 180[/tex]

⇒ [tex]3x = 180 - 60[/tex]

⇒ [tex]x = 120/3[/tex]

∵ [tex]x = 40[/tex]°

Therefore,

∠1 = 40°

∠2 = 40° + 15°

= 55°

∠3 = 40° + 45°

= 85°

Thus, the measures of the angles are 40°,55°, and 85°

Learn more about "Angles" here:

brainly.com/question/11990585

Answer:

perimeter equals 66

sides: 23,23,10 10

Answer:

a looks congruent to 95° so it's maybe around 95°

Step-by-step explanation:

i'm not sure sorry, but i think it's close to 95°

Answer:

even  :D

Step-by-step explanation: :D

Answer:

He will have $5.50 left to spend.

Step-by-step explanation:

Answer:

i think is 2 but i am not sure

Answer:

1/2

Step-by-step explanation:

This is tough because you don’t know the numbers on the side graph, but i’m assuming it’s 1 each.

Find where the line is on a point. Since slope is Rise over run. Go up 1 and sideways 2.

Answer:

86.7

Step-by-step explanation:

the circumference = 2 x pi x radius

13.8x2.3.14=86.7

Answer:

87

Step-by-step explanation:

there you go

Answer:

Step-by-step explanation:

Answer:

15x - 70 = 500

Step-by-step explanation: