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].
18,54,162,... what is the 8th term.
Answer: 39,366
Step-by-step explanation:
a(n)= 3*a(n-1)
Therefore a(8)=3(a7)
Answer:
39366
Step-by-step explanation:
Hope this can help you.But if it's wrong,im so sorry
Have a great day
i need help! i’ll give brainliest
Answer:
>
Step-by-step explanation:
Answer:
You would use >
Step-by-step explanation:
-1/4 is greater. When you divide -1/4 you get -0.25. In negatives, the number that's the CLOSEST to 0 is greater. Since -0.25 is closer to 0 than -0.42, the answer is that -1/4 is GREATER than -0.42.
Hope this helps!
3x+25=2(4x-10)
Can somebody plz explain to me how to solve this
Write down the exact value of:
a) cos 90
b) sin 90
c) tan 0
Answer:
The exact value of
cos90 is 0
sin90 is 1
tan90 is indeterminate.
Answer:
[tex] \cos(90) = 0 \\ \sin(90) = 1 \\ \tan(0) = 0[/tex]
A rectangle has length of 80cm and a width 50cm. And a scale factor of 3.5 what is the area in square cm of the dilated rectangle
Answer:
49,000 square cm
Step-by-step explanation:
To get the area of the dilated rectangle, we need the dilated dimensions
We simply multiply the scale factor by the dimensions
we have this as;
3.5 * 50 = 175 cm
and
3.5 * 80 = 280 cm
The area of the dilated rectangle is thus;
280 * 175 = 49,000 cm^2
Solve.
952448 / 112 =
Answer:
10
Step-by-step explanation:
yup that's all have sorry
cual es la raiz cuadrada de 100
Answer:
10
Step-by-step explanation:
which of the following represents a function of protein within a organism ?
A.storing genetic information
B.storing energy
C.generating heat
D.fighting infection
Answer:
A
Step-by-step explanation: ITS RIGHTTTTTTTTTTTTTTTTT
Decrease 20g by 90% I don’t get this
Answer:
Step-by-step explanation:
If you wanna decrease the number 10 by 90%, It's just 9. You simply need to multiply a/100 at the number you try to decrease by a%.
Answer:
Decrease 20g by 90%: final value 2 gm
Step-by-step explanation:
decrease 90%: decrease 20 * 0.9 = 18
new value after decrease: 20 - 18 = 2
How many terms are in this expression? d + 8c + 7
Answer:
2
Step-by-step explanation:
Solve the following equation for h. 4 = hn
Answer:
[tex]h = \frac{4}{n}[/tex]
Step-by-step explanation:
Isolate the variable by dividing each side by factors that do not contain the variable.
Hence, you get the following answer:
[tex]h = \frac{4}{n}[/tex]
s=2πcx+3πc^2 solve for x
Answer:
x = (s - 3πc^2) / 2πc.
Step-by-step explanation:
s = 2πcx + 3πc^2
2πcx = s - 3πc^2
x = (s - 3πc^2) / 2πc.
Im not smart, can someone pls help me?
Answer:
13- No because the size of the triangle can be different, meaning bigger side length
in 14 he is forgetting the lines at the angles. The little circular ones that say the angles are congruent.
Step-by-step explanation:
7 cost? 5 cost $7.50
Answer:
10.5
Step-by-step explanation:
7.5/5=1.5
1.5x7=10.5
Answer:10.5
Step-by-step explanation
7.50 divided by 5 = 1.5
1.5 times 7 = 10.5
You have $350 dollars in your savings account the account pays an interest rate of 2.25% how much will you earn in interest this year?
Answer:tttaergfzgsfbvzfsbzfzbfs
The amount of interest that you earn after a year will be $7.875.
What is compound interest?A loan or deposit's interest is computed using the starting principle and the interest payments from the ago decade as compound interest.
We know that the compound interest is given as
[tex]\rm A = P \left (1 + \dfrac{r}{n} \right ) ^{nt}[/tex]
Where A is the amount, P is the initial amount, r is the rate of interest, and t is the number of years.
You have $350 in your savings account, which has a 2.25% interest rate.
Then the amount of interest that you earn after a year will be given as,
I = A - P
I = $350(1 + 0.0225) - $350
I = $350 (1.0225) - $350
I = $357.875 - $350
I = $7.875
The amount of interest that you earn after a year will be $7.875.
More about the compound interest link is given below.
https://brainly.com/question/25857212
#SPJ5
highschool math pls help
Answer:
-7
Step-by-step explanation:
Find the simple interest paid and the amount paid for the loan.
$4800 at 9.9% for 4 years
Answer:
$1900.80
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 9.9%/100 = 0.099 per year,
then, solving our equation
I = 4800 × 0.099 × 4 = 1900.8
I = $ 1,900.80
The simple interest accumulated
on a principal of $ 4,800.00
at a rate of 9.9% per year
for 4 years is $ 1,900.80.
The probability that Jamil will be late for work is 0.2.
Work out the probability that Jamil will not be late for work.
Given:
The probability that Jamil will be late for work is 0.2.
To find:
The probability that Jamil will not be late for work.
Solution:
We have,
P(Jamil will be late) = 0.2
We know that,
P(Jamil will not be late) = 1 - P(Jamil will be late)
= 1 - 0.2
= 0.8
Therefore, the probability that Jamil will not be late for work is 0.8.
Find the degree of the monomial.
9xy3z7
A business named Beyond Boxes is considering adding a box in the shape of a triangular prism as shown.
5 cm
4 cm
8 cm
3 cm
How much cardboard will be needed to make this design?
A. 108 cm2
B. 96 cm
C. 76 cm?
D. 102 cm
Answer:
creo que es 4cm y la otra B no se por que esta en ingles ok
Leandro wants to estimate the proportion of light bulbs that arrive broken upon shipment to his store. He
takes a random sample of 500 bulbs and finds that 25 arrived broken. He's willing to assume independence
between bulbs in the sample.
Answer:0.05+1.645v0.05(0.95)/500
Step-by-step explanation:
a certain bacteria populations doubles in size everyday. Suppose a sample starts with 500 bacteria. write an expression that models the number of bacteria in the same sample after x days. Evaluate the expression for x=0,2,and 5
Answer:
16,000
Step-by-step explanation:
16,000 - answer
SMART PPL PLEASE HELP ,Explain how you know the expression represents the area of shaded part of the rectangle.
Answer:
6(m-2)
Step-by-step explanation:
Alright. Let's start by finding the length of this shaded area. The full length of the rectangle is 'm', and the part that is not shaded has a length of '2', so if we subtract the full length and the non-shaded length, we will get the shaded part's length. This is 'm-2'. The width/height we already know...it is 6, so-
Answer is: 6(m-2)
Answer:
6(m-2)
Step-by-step explanation:
it is 6(m-2) because you would do the whole length of m minus 2.
Hiro painted his room at a rate of 8 square meters per hour. After 3 hours of painting, he had 28 square meters left to paint. Let A(t) denote the area to paint A (measured in square meters) as a function of time t (measured in hours). What is the Functions formula? A(t)=?
Answer:
cgnnjfcjifchhgsiwjcjcbanxjdhw
Solving Systems using tables
Mikayla put $212 in a savings account at the beginning of the year. At the end of each month, she withdrew $12 from her account. Mathew put $30 in his savings account at the beginning of the year. At the end of each month, he deposited $14 in his account. Let x represent the number of months which have passed and y represent the amount in each savings account.
A. Write an equation to represent the amount in Mikayla’s savings account.
B. Write an equation to represent the amount in Matthew’s savings account.
C. Below make an input-output tables that show the amount in each account for the first 8 months
D. When will Mikayla and Matthew have the same amount in their accounts?
Mikayla Matthew
X Y X Y
0 0
1 1
2 2
3 3
4 4
5 5
6 6
7 7
8 8
Answer:
i hope this helps
Step-by-step explanation:
3% is the interest rate. Using the formula I=PRT, you can simply derive the rate by putting the given numbers in.
I = 450P = 3,000R = ?T = 5 Years
The equation now goes,450 = 3,000 * R * 5450 = 15,000 * R450/15,000 = R0.03 = R
multiply it by 100,
R = 3%
If m_1=37º, what is m_4?
Answer: 148
Step-by-step explanation: so you will do 37 times 4
Please help.. Answer number 34 and 35. For number 34 find the measures of the numbered angles in each isosceles trapezoid. For number 35 find the measures of the numbered angles in each kite.
Answer:
33. m∠1 = 135°, ∠3 = 45°, ∠2 = 135°
34. m∠1 = 80°, m∠2 = 100°, m∠3 = 100°
35. m∠1 = 90°, m∠2 = 25°
Step-by-step explanation:
33. The given parameters of the isosceles trapezoid are;
The measure of one of the base angles = 45°
For an isosceles trapezoid, the base angles are equal, therefore, we have;
The measure of the other base angle = m∠3 = 45°
Similarly, m∠1 = m∠2
Also, we have;
The sum of the interior angles in a trapezoid = The sum of the interior angles in a quadrilateral = 360°
∴ 45° + m∠3 + m∠1 + m∠2 = 360°
By substituting the known values, we have;
45° + 45° + m∠1 + m∠2 = 360°
From m∠1 = m∠2, we have;
45° + 45° + m∠1 + m∠1 = 90° + 2·m∠1 = 360°
2·m∠1 = 360° - 90° = 270°
∴ m∠1 = 270°/2 = 135°
m∠1 = 135° = m∠2
Therefore, we have;
∠3 = 45°, ∠1 = 135°, ∠2 = 135°
34. The measure of the base angles = 80°
∴ The measure of the other base angle = m∠1 = 80°
m∠2 = m∠3
80° + m∠1 + m∠2 + m∠3 = 360°
∴ 80° + 80° + 2·m∠2 = 360°
m∠2 = (360° - (80° + 80°))/2 = 100°
m∠2 = 100° = m∠3
35. The kite comprises of two half isosceles triangles
The base angles of the right half isosceles triangle = 65°
The angle formed by the diagonals of the kite = 90° (Perpendicular diagonals theorem)
Therefore, m∠1 = 90°
The diagonals bisect the angles at the vertices (Kite theorem)
Therefore, we have;
65° + 90° + m∠2 = 180°
m∠2 = 180° - (65° + 90°) = 25°
m∠2 = 25°.
John wants to gain weight for his wrestling team so he can compete in a different weight class. He currently weighs 187 pounds, and is gaining weight at a rate of 1.5 pounds per week. Which equation below models this situation * number of weeks y = total weight (pounds )
Answer:
The equation would be 1.5w + 187 = y.
Step-by-step explanation:
1.5 lbs per week
already 187
The variable would be 'w'
so 1.5w +187 = y
Is this a right triangle?
Answer:
Yes
Step-by-step explanation:
The equation to find it is Squareroot(a^2 +b^2)
Squareroot(6.4^2 + 12^2) = 13.6
so it is not
Mandy buys 36 pens, 36 pencils, 36 rulers and 36 pencil cases.
Price list
pens
pencils
rulers
pencil cases
4 for 75p
12 for 42p
6 for £1.10
54p each
What is the total amount of money spent by Mandy?
I
Answer:
£34.05
Step-by-step explanation:
36/4=9
36/12=3
36/6=6
9x0.75=6.75
3x0.42=1.26
6x1.10=6.6
36x0.54=18.44
6.75+1.26+6.6+19.44= £34.05