Help! Pls I cant solve it help me with explanation also pls.
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].
Can somebody help me please
Answer:
I believe it’s 65
Step-by-step explanation:
Not fully sure
Which expression represents a factorization of 32m + 56mp?
A 8(4m + 7p)
B 8(4 + 7)mp
C 8p(4 + 7m)
D 8m(4 + 7p)
Answer:
D 8m(4 + 7p)
Step-by-step explanation:
The GCF of 32 and 56 is 8.
m and mp have m in common, so you can factor out 8m.
32m + 56mp = 8m(4 + 7p)
Answer: D 8m(4 + 7p)
Answer: D, 8m(4+7p)
Step-by-step explanation:
8m times 4=32m
8m times 7p=56mp
7n +2 –(2n +7) pls help I will give you 15 points
Answer:
5n -5
Step-by-step explanation:
7n +2 –(2n +7)
7n +2 -2n -7
5n -5
In New York, state sales tax rates vary by county. In Allegany County, the sales tax rate is 8 1 2 %. A pair of shoes costs $29.99 and a shirt costs $15.99. Rounded to the nearest cent, how much more is the tax on the shoes than the shirt?
Answer:
$1.19Step-by-step explanation:
The tax is 8 1/2% = 8.5%A pair of shoes = $29.99 A shirt = $15.99The difference in the cost:
$29.99 - $15.99 = $14Tax on the difference:
$14*0.085 = $1.19 F(x) = x + 4
A. F(7)=3
B. F(3)=12
C. F(3)=7
Which one is correct and how do you solve it step by step?
Answer:
C. F(3) = 7
Step-by-step explanation:
You have to to substitute the value of the function into each equation.
So...
A. 7+4 does not equal 7
B. 3+4 does not equal 3
C. 3+4 DOES equal 7
Answer:
C
Step-by-step explanation:
Given Angle 1 = Angle 2, find X.
X =
Answer:x=6
Step-by-step explanation:
Nicholas uses a coordinate system with units of feet to keep track of any items he finds with his metal detector. One day he found a ring at (-2, -6) and a coin at (7, 6). How far apart were the ring and the coin?
Answer: The distance between the ring and the coin = 15 units.
Step-by-step explanation:
Distance between two points (a,b) and (c,d) is given by :-
[tex]D=\sqrt{(c-a)^2+(d-b)^2}[/tex]
Location of rine = (-2,-6)
Location of the coin = (7,6)
Then, the distance between the ring and the coin [tex]=\sqrt{(6-(-6))^2+(7-(-2))^2}[/tex]
[tex]=\sqrt{(12)^2+(9)^2}\\\\=\sqrt{144+81}\\\\=\sqrt{225}=15[/tex]
Hence, the distance between the ring and the coin = 15 units.
Find h is f(h) = 215
please help thank you!!
Answer:
h = 215/f
Step-by-step explanation:
use elimination to solve and please show ur work.
4x + 3y = 6
2x - y = -2
Answer:
Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.
Point Form:
(0,2)
Equation Form:x=0, y=2
Answer:
(0,2)
Step-by-step explanation:
Multiply each equation by the value that makes the coefficients of y opposite.
3*2x-y=3*-2
Simplify
6x-3y=-6
Add the two equations
10x = 0
Divide both by 10 and simplify
x=0
Substitute x into the equations.
4*0+3y=6
3y=6
2
y=2
!!! PLEASE HELP !!! Clare made green paint with 4 cups of yellow paint and 5 cups of blue paint. If Ms.
Kim only has 1 cup of blue paint, how much yellow paint should she use to get the
same color green?
Answer:
1/2 cup blue
blahnik black gg fu lrjrhjrjrek
Answer:
bshdjrjrb
Step-by-step explanation:
abcdefghijklmnop
what is the answer please help me
5. A rectangle with length 8 cm and width 5 cm is dilated by a scale factor of 3. What are the perimeter and area of the image?
Answer:
The area is 120
The perimeter is 78
Step-by-step explanation:
To find area you have to multiply length x width.
(8x5)
To find perimeter you have to find the length of all the sides and add them
together. To find perimeter of a shape you do length x2 + width x2
(8x2 + 5x2)
Then you need to find the scale factor.
A scale factor of 3 is 3x the size of the original shape
Remember to press Thanks
to make pink paint, sylvia mixes 7 cups of white paint to every 3 cups of red paint. which table shows possible values of w, the number of cups of white paint sylvia uses, and r, the number of cups of red paint?
Answer: A
Step-by-step explanation:
For every 3 cups she need 7 cups of white paint.
answer a displays that with 3*2=6 and 7*2=14
Answer:
A
Step-by-step explanation:
I did the math
4n+1=25
Please help with an explanation
Answer:
n = 6
Step-by-step explanation:
To isolate n, subtract 1 from both sides:
4n + 1 = 25
4n = 24
Then divide by 4 on both sides:
4n = 24
n = 6
Hope this helped :)
Answer:
6
Step-by-step explanation:
4n+1= 25
or,4n= 25- 1
or,4n=24
or,n=24/4
so n= 6
An integer k has the properties shown. What is a possible value of K?
Answer:
81
Step-by-step explanation:
sq rt 81 = 8.94
8.94 is between 8 and 9
20-8.94 = 11.06 rounds to 11
Jose has scored 555 points on his math tests so far this semester. To get an A for the semester, he must score at least 660 points. Write and solve an inequality to find the minimum number of points he must score on the remaining tests, n, in order to get an A.
Find the value of each variable.
Answer:
the third option
Step-by-step explanation:
x= 13
[tex] {y}^{2} = {13}^{2} + {13}^{2} \\ {y}^{2} = 338 \\ y = \sqrt{338} = 18.38 = 13 \sqrt{2} [/tex]
PLEASE HELP MEEEEEE I AM SOOOOOOOOOOOO CONFUZED
Calculate the area of the irregular polygon shown below:
24 square inches
44 square inches
54 square inches
84 square inches
Please guys help me. I will give you the brainliest. Answer what you know
Answer:
number 3 is B and number 4 is C
Step-by-step explanation:
7n-1
the 5th term of the sequence 4n+1
For his long distance phone service, Miguel pays a $3 monthly fee plus 11 cents per minute. Last month, Miguel's long distance bill was $14.22 . For how many minutes was Miguel billed?
Answer: B=3+.11m
18.73=3+.11m
-3 -3
15.73=.11m
143=m
Step-by-step explanation:
Identify the correct explanation for why the triangles are similar. Then find OP and MN.
Options:
A. ∠M≅∠N. Since OP¯¯¯¯¯∥MN¯¯¯¯¯¯¯, ∠LOP≅∠LMN by the Alt. Int. ∠s Thm. Therefore, △LOP∼△LMNby AA∼. OP=8 and MN=4.
B. ∠L≅∠L by the Reflex Prop. of ≅. Since OP¯¯¯¯¯∥MN¯¯¯¯¯¯¯, ∠LOP≅∠LMN by the Corr. ∠s Post. Therefore, △LOP∼△LMNby AA∼. OP=2 and MN=6.
C. ∠L≅∠L by the Reflex Prop. of ≅. Since OP¯¯¯¯¯∥MN¯¯¯¯¯¯¯, ∠LOP≅∠LMN by the Corr. ∠s Post. Therefore, △LOP∼△LMNby AA∼. OP=4 and MN=8.
D. ∠M≅∠N. Since OP¯¯¯¯¯∥MN¯¯¯¯¯¯¯, ∠LOP≅∠LMN by the Alt. Int. ∠s Thm. Therefore, △LOP∼△LMNby AA∼. OP=2 and MN=6.
Answer:
The correct explanation is option B;
B. ∠L ≅ ∠L By Reflexive Prop. ≅.
Since [tex]\overline {OP}[/tex] ║ [tex]\overline {MN}[/tex], ∠LOP ≅ ∠LMN by the Corr. ∠s Post. Therefore, ΔLOP ~ ΔLMN by AA ~. OP = 2 and MN = 6
Step-by-step explanation:
The given parameters are;
[tex]\overline {LP}[/tex] = 5
[tex]\overline {NP}[/tex] = 10
[tex]\overline {LN}[/tex] = [tex]\overline {LP}[/tex] + [tex]\overline {NP}[/tex] = 15
[tex]\overline {OP}[/tex] = x - 3
[tex]\overline {MN}[/tex] = x + 1
A two column proof is presented as follows;
Statement [tex]{}[/tex] Reason
∠L ≅ ∠L [tex]{}[/tex] By Reflexive property of congruency
[tex]\overline {OP}[/tex] ║ [tex]\overline {MN}[/tex] [tex]{}[/tex] Given
∠LOP ≅ ∠LMN [tex]{}[/tex] By the Corresponding angles Postulate
Therefore
ΔLOP ~ ΔLMN [tex]{}[/tex] By AA similarity Postulate
Where we have that ΔLOP and ΔLMN, we get;
[tex]\overline {OP}[/tex]/[tex]\overline {MN}[/tex] = [tex]\overline {LP}[/tex]/[tex]\overline {LN}[/tex] = 5/15 = 1/3
∴ (x - 3)/(x + 1) = 1/3
3·(x - 3) = 1·(x + 1)
3·x - 9 = x + 1
3·x - x = 1 + 9 = 10
2·x = 10
x = 10/2 = 5
x = 5
[tex]\overline {OP}[/tex] = (x - 3) = 5 - 3 = 2
[tex]\overline {OP}[/tex] = 2
[tex]\overline {MN}[/tex] = x + 1 = 5 + 1 = 6
[tex]\overline {MN}[/tex] = 6
Therefore, the correct option is ∠L ≅ ∠L By Reflexive Prop. ≅.
Since [tex]\overline {OP}[/tex] ║ [tex]\overline {MN}[/tex], ∠LOP ≅ ∠LMN by the Corr. ∠s Post. Therefore, ΔLOP ~ ΔLMN by AA ~. OP = 2 and MN = 6.
. The total area of a rectangular mural has been extended by x feet. The expression to represent the area is 5.5(7.5 + x). Rewrite the expression using the Distributive Property.
Answer and Step-by-step explanation: Distributive Property describes how to solve expressions like a(b +c). According to the property, multiplying the sum of two or more numbers by a number will result in the same as multiplying each number and then add the products. For example:
11(2 + 4)
11(6) = 66 22 + 44 = 66
So, for the expression that represents the area:
5.5(7.5 + x) = 41.25 + 5.5x
As the expression has non-numerical terms, the distributive property will be multiply each term and then add the products.
The expressio for area of a rectangular mural is 41.25 + 5.5x.
Creating a password with two letters followed by two one-digit numbers. (Find the total number of outcomes that are possible)
Answer:
67,600 possible outcomes
Step-by-step explanation:
In total, it's a four digit password.
For the first digit, which is a letter, there are 26 possibilities. The same goes for the second digit, so first multiply 26 x 26 (because that's the number of possibilities for the first two digits alone).
! if the letters have to be different then it would be 26 x 25 because there's one less letter for the second digit.
Next, 2 one digit numbers. There are 10 individual digits: 0,1,2,3,4,5,6,7,8,9, so after 26 x 26 x 10 x 10 for the total number of possibilities. If the numbers have to be different (and the letters too) then it'd be 26 x 25 x 10 x 9
so 26 x 26 x 10 x 10 = 67,600
hope this helps!
1. Emily bicycle wheel had a diameter of 18 inches.
If the wheel makes 10 revolutions, approximately how far will the
bicycle have to travel? Round your answer correct to the nearest
whole number.
Which expressions are equivalent to this exponential expression?
Joe earns a 15% commission on all sales. If commission was $1,125, find the amount of his sales
Claire received 3/8 of her allowance on Monday. What decimal shows the part of her allowance that she received?
0.375
0.75
0.83
2.6
Answer:
0.375
Step-by-step explanation:
3/8 = 0.375
There were 220 people who voted at the 6th grade meeting. Sixty percent of the voters are in favor of changing the school mascot. How many people are against changing the mascot? Use numbers and words to explain your answer.
Step-by-step explanation:
First I had to find 60% of 220.
220 × .60 = 132.
132 people are in favor so I have to subtract that number from 220 to find how many people were against.
220-132 = 88
88 people were against changing the mascot.
please help!!!!! i’ve been stuck on this question
Answer:
30
Step-by-step explanation:
The angle for BOF is going to be 180.
So if the angle for COF is 150, then COB is going to be the complement angle.
This means it's 180 - 150 = 30.