Answers
Answer:
[tex] \red{ \bold{\frac{2x(x - 1) + 3(2x - 3)}{(2x + 3)(2x - 3)(x - 1)} }}[/tex]
Step-by-step explanation:
[tex] \frac{2x}{4 {x}^{2} - 9 } + \frac{3}{2 {x}^{2} + x - 3} \\ \\ = \frac{2x}{(2 {x})^{2} - {(3)}^{2} } + \frac{3}{2 {x}^{2} - 2x + 3x - 3} \\ \\ = \frac{2x}{(2x + 3)(2x - 3)} + \frac{3}{2 {x}(x - 1) + 3(x - 1)} \\ \\ = \frac{2x}{(2x + 3)(2x - 3)} + \frac{3}{(x - 1) (2x + 3)} \\ \\ = \frac{2x(x - 1)}{(2x + 3)(2x - 3)(x - 1)} + \frac{3(2x - 3)}{(x - 1) (2x + 3)(2x - 3)} \\ \\ \purple{ \bold{ = \frac{2x(x - 1) + 3(2x - 3)}{(2x + 3)(2x - 3)(x - 1)} }}[/tex]
Related Questions
Find the surface area of the cylinder.
Answers
Answer:
[tex]A=227.84\ inch^2[/tex]
Step-by-step explanation:
Given that,
The diameter of the cylinder, d = 5 inch
Hight, h = 12 m
Radius, r = d/2 = 2.5 m
We need to find the surface area of the cylinder. The formula for the surface area of the cylinder is given by :
[tex]A=2\pi rh+2\pi r^2\\\\A=2\times \dfrac{22}{7} \times 2.5\times 12+2\pi \times 2.5^2\\\\A=227.84\ inch^2[/tex]
So, the lateral surface area of the cylinder is equal to [tex]227.84\ inch^2[/tex].
What is the value of the expression 13/4 (8)? *
Answers
Answer: 26
(13/4) (8/1) =(13) (8)/ (4) (1) = 104/4 = 26
Step-by-step explanation:
C = 172.7 cm
Use the formula, c = ad, and x = 3.14, to find the diameter of this circle whose circumference equals 172.7 cm.
A. 55 cm
B. 27.5 cm
O c. 542.278 cm
D. 5.5 cm
O E. 86.35 cm
Answers
Answer:
B
Step-by-step explanation:
The question: " match each drawing with a triangle congruence postulate that can be used to prove the triangles are congruent, if any."
Possible answers
Side angle side (SAS)
Angel side angle (ASA)
Hypotenuse leg (HL)
Not possible
Answers
Answer:
1 : Hypotenuse leg (HL)
2: Angle side angle (ASA)
3: Side angle side (SAS)
Step-by-step explanation:
Given
See attachment for triangles
Required
Determine the congruence postulate
Figure (1):
From the attachment;
[tex]AC = BD[/tex] --- The hypotenuse
[tex]CB = CB[/tex] --- One other leg
Since the hypotenuse and one other leg of both triangles are congruent, then the postulate is: HL
Figure (2):
From the attachment, we have:
[tex]150^\circ = 150^\circ[/tex] --- Angle
[tex]15^\circ = 15^\circ[/tex] ---- Angle
The horizontal line that divides both triangles show that they have a congruent side.
Hence, the postulate is: ASA
Figure (3):
From the attachment, we have:
A pair of single marks (Side)
A pair of double marks (Side)
A pair of equal angles
Hence, the postulate is: SAS
Find the distance between the points (3,7) and (3,2)
Answers
Answer:
5 units.
Step-by-step explanation:
Since the distance is straight up.
You have two options:
Graph those two points and count the spaces separating them
or
Since they have the same x, you would only need to subtract 7-2.
Airlines monitor the causes of flights arriving late. A total of 75% of flights are late because of weather, while 35% of flights are late because of ground operations. A full 10% of flights are late because of weather and ground operations. What is the joint probability that a flight arrives late because of weather and ground operations
Answers
Answer:
36% is the joint probability that a flight arrives late because of weather and ground operations
Step-by-step explanation:
Given
% of flight late because of weather = 0.75
% of flight late because of ground operation = 0.35
% of flight late because of both weather and ground operation = 0.10
The probability of joint probability that a flight arrives late because of weather and ground operations is equal to
p (A and B) + {P(A) * P(B)}
0.10 + (0.75 * 0.35)
0.36
or 36%
Answer:36%
Step-by-step explanation:0.10 + (0.75 * 0.35)=0.36 then turn it to a percent which is 36%.
7
11 X
Find the exact value of x.
X=
Do the side lengths form a Pythagorean triple?
o yes
O no
Answers
Answer:
[tex] \sqrt{49 + 121} = \sqrt{170} [/tex]
No , The side lengths of the triangle does not form a Pythagorean triple
The value of x = 13.038 = √170
What is a Triangle?
A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Given data ,
Let the triangle be ΔABC
Now , the base of the triangle BC = 11
The height of the triangle AB = 7
The hypotenuse of the triangle AC = x
Now , the length of AC can be calculated from the Pythagoras Theorem
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
And , AC² = AB² + BC²
Substituting the values in the equation , we get
AC² = 11² + 7²
AC² = 121 + 49
AC² = 170
Taking square roots on both sides of the equation , we get
The value of AC = √170
The value of AC = 13.038
Therefore , the value of x = 13.038
Hence ,
No , The side lengths of the triangle does not form a Pythagorean triple
The value of x = 13.038 = √170
To learn more about triangles click :
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On test 7, Josue's score dropped back from 98 to 85. What is the percent decrease?
Answers
Answer:
13 %
I hope it's correct.
Step-by-step explanation:
initial marks (o) = 98
final marks (m) = 85
rate (r) = ?
Now,
r =
[tex] \frac{o - m}{o} \times 100percent[/tex]
= ((98-85)/98)x100%
=13.26%
Your weekly allowance is $15. You spent 30% How much did you spend?
Answers
Answer:
You would have spent $4.50
Step-by-step explanation: Divide 100 by 30 and multiply to 15. So it will look like: 30/100*15= $4.50. I hope this helps
4×10^3 times what number is equal to 16×10^5?
Really stuck on this question on my virtual Exam.Could use a little help.
Answers
Answer:
400 or 4 x 10²
Step-by-step explanation:
Tom read 20 books, 12 magazines, and 18 newspaper articles last year.
Based on this data, what percentage of the material that Tom read is a magazine?
Answers
Answer:
Step-by-step explanation:
20 dude hahah
count the numbers of triangles in the figures
Answers
Answer:
A
Step-by-step explanation:
look it carefully.
who is spongeborb ???
Answers
Answer:
Spongeborb???
I don't know a spongeborb, but I DO know a spongebob
Spongebob is my homie, he lives right next door to me in his pineapple...and occasionally, I make him do my dishes
Answer: spongeborb?
SpongeBob SquarePants is the title character and protagonist of the American animated television series of the same name. He is a sea sponge who works as a fry cook at the Krusty Krab, a fast food restaurant known for its signature burger, the Krabby Patty.
Step-by-step explanation:
Have a nice day!
Beth wants to buy Christmas lights to decorate her new home. At various stores, Beth found lights priced from $6.99 a strand to $25.99 a strand. Beth bought almost $200 worth of the cheapest lights so that she could have as many lights on her house as possible. For Beth, Christmas lights are a(n) _____.
Answers
Answer:
Christmas lights are price based shopping products
Step-by-step explanation:
From the question we understand that, Beth bought as many cheapest lights as possible. This means that she places value over quantity than quality.
The above is an illustration of price based shopping products where customers (in this case, Beth) see all products (in this case, Christmas lights) as similar products, irrespective of their different qualities (after all, they all light Christmas trees).
Because of this, the customer will opt for least expensive items, leaving the more expensive items.
Pls help I’ll addd extra points
Answers
Answer: 3/5
Step-by-step explanation:6/10 6 divide by 2 and 10 divide by 2
hoped this helped:)
Answer:
[tex] \frac{3}{5} [/tex]
Step-by-step explanation:
[tex] \frac{6}{10} \div \frac{2}{2} [/tex]=
[tex] \frac{3}{5} [/tex] ....
please help me asap!
Answers
Answer:
1. AC=EC=120 ft
2. Given as perpendicular
3. BC=CD
4. Perpendicular means 90° from the bridge
5. Area of Triangle same
How many times greater is the value of 7 in 271,461 than the value of 7 in 927,645?
Answers
Answer:
3.42 times.
Step-by-step explanation:
We can simply see how many times greater the numbers are from one another.
927,645/271,461 = 3.41723120448 about 3.42 times.
Classify the angle pair using all names that apply
Answers
Answer:
Vertical and supplementary
Step-by-step explanation:
Angles 1 and 2 are Vertically opposite angles and therefore they are equal to each other.
Find the value of 3/x+7
if X= 25.
A) 32
B) 82
C) -8
D) 22
Answers
Answer:
32
Step-by-step explanation:
Answer:
22
Step-by-step explanation:
If evaluated this is the answer!
please someone help me with this ASAP with the workout!!
Answers
Half of 72 is 36
Since YZ is 30, you would subtract 30 from 36 in order to get XY, so you would get 6 for XY
Half of circle W is 24, since it says the diameter of it is 48
So you would subtract XY from half of the diameter of W in order to get WX
It would look like this:
24-6=18
Answer:
18cm
Step-by-step explanation:
compare the following pairs of numbers. in each pair,state which is greater
Answers
a. 759
b. 8769
c. 96699
d. 36754209
The trick is looking at the first numbers for either possible answer. Pick the one that is the greatest going backward. If you're stuck with the same numbers as in d, just continue going back until you see something like the 7 being greater than the 5.
Does anyone know what the answer please???
Answers
Answer: 8
As you can see, ABCD is similar to FECG which means its just a bigger or smaller version of the other. The sides change by a specific amount like times 2 or divided by 2
In this case abcd is 2x bigger thab fecg. You can see this by the side BC being 10 and it is the same side on the other shape being 5 so you know FECG is just ABCD x 1/2
Because of this since we know what FG is (4) on FECG we know y is 2x that side so it is 8.
1. Identify the a, b, and c in the function:
f(x) = 3x² – 9x +4
A=
B=
C=
Answers
Answer:
A=3
B=-9
C=4
Hope this helps ^^
How many pairs of opposite sides are parallel
Answers
What is 57 divided by 90?
Answers
Answer:
0.63 should be your answer
Answer;
0.6333333
Step-by-step explanation:
I think it's helps you
The height of a triangle is 7 inches greater than the base. The area of the triangle is 225 square inches. Find the length of the base and the height of the triangle.
Answers
Answer:
Height is 25in
Base is 18in
Step-by-step explanation:
225=[x*(x+7)]/2=[x^2+7x]/2
450=x^2+7x
x^2+7x-450=0
(x+25)(x-18)=0
Jennifer made a baby blanket that is 2 feet by 3 feet. She has a queen size blanket that is 6 feet by 9 feet. How does the area of the baby's blank t compare to the size of the queen sized blanket?
Answers
The area of the baby blanket is 9x smaller.
The area of the queen sized blanket is 9 times bigger than the area baby blanket.
What is the area of a rectangle?
The area of a rectangle is the multiplication of it's length and breadth.
Here, the area of the baby blanket = 2 × 3 square feet = 6 square feet.
The area of the queen sized blanket = 6 × 9 square feet = 54 square feet.
Therefore, the ratio of the baby blanket : queen sized blanket
= 6 : 54
= 1 : 9
Hence, area of the queen sized blanket is 9 times bigger than the area baby blanket.
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Pls someone help me with this question pls
Answers
Answer:
C. The number is a perfect square because (17) × (17) = 289
quadrilateral PQRS has coordinates P(-5, -2), Q(-2, -2), R(-4, -6) and S(-7, -6). Where is P' after quadrilateral PQRS is reflected over the x-axis? PLEASE HELP!!! QUICK
A. (-5, 2)
B. (5, 2)
C. (5, -2)
D. (-2, 5)
Answers
10 POINTS FOR THE CORRECT ANSWER PLEASE HELP
Answers
Answer:
Step-by-step explanation:
The Pythagorean theorem says:
[tex]a^2+b^2=c^2[/tex]
where a and b are the two legs of the triangle and c is the hypotenuse. Here, let's say a = 6 and b = [tex]\sqrt{13}[/tex]. We then get the following equation:
[tex]c^2= (6)^2+(\sqrt{13})^2=49[/tex]
So c = 7. Technically, c can also equal -7 since (-7)^2 = 49 as well but that does not apply here because a side length cannot be <0. So 7 is the answer.