Answers
d)
[tex] \frac{2 {x}^{2} - xy + 2xy - {y}^{2} }{6xy - 3 {y}^{2} } = \frac{x(2x - y) + y(2x - y)}{3y(2x - y)} = \\ [/tex]
[tex] \frac{(x + y)(2x - y)}{3x(2x - y)} = \frac{x + y}{3x} \\ [/tex]
_________________________________
e)
I think -6 should be +6
or +3x should be -3x
[tex] \frac{ {x}^{2} + 2x + x + 2 }{ {x}^{2} + 2x + 3x + 6 } = \frac{x(x + 2) + (x + 2)}{x(x + 2) + 3(x + 2)} = \\ [/tex]
[tex] \frac{(x + 1)(x + 2)}{(x + 3)(x + 2)} = \frac{x + 1}{x + 3} \\ [/tex]
Or
[tex] \frac{x(x + 2) + (x + 2)}{x(x + 2) - 3(x + 2)} = \frac{(x + 1)(x + 2)}{(x - 3)(x + 2)} = \\ [/tex]
[tex] \frac{x + 1}{x - 3} \\ [/tex]
_________________________________
f)
[tex] \frac{ {a}^{2} - 5a - 4a + 20 }{ {a}^{2} - 5a + 2a - 10 } = \frac{a(a - 5) - 4(a - 5)}{a(a - 5) + 2(a - 5)} = \\ [/tex]
[tex] \frac{(a - 4)(a - 5)}{(a + 2)(a - 5)} = \frac{a - 4}{a + 2} \\ [/tex]
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️
Related Questions
Yara have two rectangular gardens in her backyard the smaller garden is 1/2 foot long and 2/3 foot wide the larger Garden is 4 feet long and 5 feet wide what is the area of the small garden in square feet what is the area of the large garden in square feet
Answers
Given that :
Area of a rectangle is : A = l×b
For smaller garden,
Length, l = [tex]\dfrac{1}{2}\ \text{foot}[/tex]
Width, [tex]b=\dfrac{2}{3}\ \text{foot}[/tex]
Area of a smaller garden is :
[tex]A=\dfrac{1}{2}\times \dfrac{2}{3}\\\\A=0.34\ \text{foot}^2[/tex]
For larger garden,
length, l' = 4 feet
Width, b' = 5 feet
Area of a larger garden is :
[tex]A'=l'\times b'\\\\A'=4\times 5\\\\A'=20\ \text{feet}^2[/tex]
So, the area of a smaller garden is 0.34 sq ft and that of a larger garden is 20 sq ft.
I am in 8th grade and i need help on Pre Algebra could you help me?
Answers
Answer:
Sure, what do you need help on?
if p is q and q is r which statement must be true
A.S is p
B.R is p
C. p is s
D. P is R
Answers
Answer: D
Step-by-step explanation:
Answer:p is r
Step-by-step explanation:
While reviewing last month's finances, Oscar noticed that he had spent $200 on a wedding cake and deposited $500 that he had earned from selling books to a used bookstore. Then, he again spent $127 to buy some new books. Which integer represents the change in Oscar's savings?
Answers
Answer:
$173
Step-by-step explanation:
Given the following :
Amount spent on wedding cake = $200
Amount deposited = $500
Amount spent on new books = $127
Change in savings :
Amount deposited - total amount spent
Total amount spent = ($200 + $127).= $327
Hence,
Change in saving = $500 - $327
= $173
х
у
-11
-3
-1
-3
0
9
un lwin
13
21
Which function best represents the relationship shown in the graph? 8.51
А
1
y -x + 1
B
y = 4x - 1
C y = x + 4
Dy = 4x + 1
Answers
Can someone help me with this please 1/4(5x+16/3)-2/4(3/4x+1/2)=-5.
Answers
Hope this help
can someone help me do this??? Thank youuuu!!!!
Answers
Answer:
See below.
Step-by-step explanation:
a) Complementary angles (= 90°)
∠DCM and ∠DMC∠FGM and ∠GMFb) ∠FMG, ∠GMC, and ∠DMC
What is (184730248764874252034*9748242241036484916485)\(9489258234569786578024628435672046*72386438952467922592641964870)+(892187341935496495*2873937610)+(903781)?
Answers
i cant tell if thats a real question or not but ahhhhh thats a big number
Who ever is reading this:
I love u.
U matter.
The world needs u
hang in there ik it may be bad but u deserve the world <3
ur beautiful for who u r, not wht u look like. no matter ur shape, size, color, gender.. anything
don't give up bby i need u to live.
i wish i could take everyones problems so yall wouldn't have to have em but i cant so just know ily and if anyone needs to talk u can talk to me
Pls pass this on. Everyone deserves to know this. ♥️♥️
just copy and paste its not hard pls this could save someones life
Answer:
it 40 super easy
Step-by-step explanation:
Given that ∠2 ≅ ∠6.
Which theorem proves that line d is parallel to line e.
Alternate interior angle theorem
Converse of the alternate interior angle theorem
Alternate Exterior angle theorem
Converse of the alternate exterior angle theorem
Answers
Answer:
Converse of the alternate exterior angle theorem
Step-by-step explanation:
just took the test ;)
The theorem that proves that lines d and e are parallel to each other, given that <2 is congruent to <6 is: D. Converse of the alternate exterior angle theorem
When a transversal cuts across two parallel lines, there are special angles formed having relationship with each other.
For two lines to be parallel, such relationship must exist. That is what a converse theorem seeks to prove.
We are told that <2 is congruent to <6.Both angles are exterior angles that also lie opposite each other along the transversal. That makes them alternate exterior angles.<2 will be congruent to <6 if lines d and le are parallel to each other.Therefore, the theorem that proves that lines d and e are parallel to each other, given that <2 is congruent to <6 is: D. Converse of the alternate exterior angle theorem
Learn more here:
https://brainly.com/question/10565830
The average number of customers that visited a particular store during the past year is 200 per day and a standard deviation of 25 customers per day. The probability that x>200 is:
Answers
Answer:
0.5
Step-by-step explanation:
Considering we are given a mean and standard deviation, the distribution of the data is likely to be a normal or Gaussian distribution, i.e. a symmetrical, bell-shaped distribution of probability density, peaked at the mean;
Such a distribution has 0.5 probability each side of the mean;
So, if the mean is 200 then, the probability that the number of customers is greater than 200 (x > 200), according to this mean, is 0.5;
As a normal distribution is symmetrical, this is also the probability of a number of customers less than 200.
Please help (explain it)
Answers
Answer:
The y-intercept is 2 because it is on the y-axis. The y-intercept is located on the y-axis.
4. If the area of a rectangle is 6 m2, then the dimensions must be 2 meters by 3 meters. oh
Answers
Answer:
False.
Step-by-step explanation:
The formula that is used to find the area of a rectangle is given by :
A = l×b
Where,
l is length and b is breadth
If area of a rectangle is 6m², it means we need to find the factors of 6. The factors of 6 are 2 and 3. If we multiply 2 and 3, we get 6.
Other possibility can be 1 m by 6 m because if we muliply 1 m and 6 m, we get 6m².
It means there are more than one possibiliy about the length and breadth of the rectangle.
Hence, the given statement is not true.
What happens if the red lines are NOT parallel. Which angle types are still congruent?(please help)
Answers
Answer:
If they are not parallel they will cross.
The angle types that are still congruent are the angles that are the same size.
Step-by-step explanation:
Parallel lines never cross but non parallel lines cross.
Could I please have BRAINLIEST?Answer:
vertical ?
Step-by-step explanation:
sorry if wrong :')
A shipping box should weigh 2.0 pound. If there is a 5% error on the weight, what is the range of acceptable weight? Question 2 options: 0.1 pound to 0.9 pound 1.1 pounds to 2.2 pounds 1.9 pounds to 2.1 pounds 2.0 pounds to 2.1 pounds
Answers
Answer:
2
lb
,
0.05
a
,
2
,
0.1
lb
,
0.99
lb
2
,
4.18
lb
2
,
4.2
lb
2
,
2.1
lb
Step-by-step explanation:
solve for x. 3x+9=15x-5. show work
Answers
Sol:
3x-15x=-5-9
or,-12x=-14
or,x=14/12
or,x=1.667
so, x=1.667
Answer:
[tex]3x+9=15x-5[/tex]
[tex]3x+9-9=15x-5-9[/tex]
[tex]3x=15x-14[/tex]
[tex]3x-15x=15x-14-15x[/tex]
[tex]-12x=-14[/tex]
[tex]\frac{-12x}{-12}=\frac{-14}{-12}[/tex]
[tex]x=\frac{7}{6}[/tex]
or
[tex]x=1.1666[/tex]
How do you factor m^2+6m-7
Answers
Answer:
Your answer is: (m-1) (m+7)
Step-by-step explanation:
Hope this helped : )
pls help answer don't understand
Answers
Answer:
1.1
Step-by-step explanation:
square root of 1.19- 1.09087...- rounded to 1.1
Answer:
it is 1.1
you should use calculator
Step-by-step explanation:
:)
what fraction is equal to 1.5?
Answers
Answer:3/2
Step-by-step explanation:
C
5 mi
12 mi
What is the length of the hypotenuse?
C =
miles
Answers
144+25=169
Square root of 169 is the answer
C= 13 mi
Find the sum of the measures of the interior
angles of a convex 70-gon.
Answers
Therefore, for this question,
n=70
the sum of interior angles=180*(70-2)=180*68=12240 degree
Pls mark me as the Brainliest as I really need it!
Question:
The variables x and y are directly proportional, and y = 4 whenx = 3. What is the value of y whenx = 15?
Answers
What is the midpoint of the segment below?
Answers
Answer:
A. (0,2)
Step-by-step explanation:
A pre-paid cell phone plan has a flat rate of $15 with an additional cost of $0.15 per
minute. At most, how many minutes can Chelsea purchase if she has $35?
Write an inequality for this statement, write out 3 values that would make the inequality true
Answers
Answer:
anything less than 133 would be true
Step-by-step explanation:
35 ≥ 0.15m + 15
solve for m
subtract 15 from both sides
20 ≥ 0.15m
divide both sides by 0.15
133.33 ≥ m
m cannot be more than 133 minutes
a toy manufacturer estimates that 16% of its products are defective. if it produces 550 toys in one day, how many will be defective?
Answers
Answer:
88 toys
Step-by-step explanation:
If 16 percent of them are defective we want to multiply 550 by .16. This gets you 88.
At the end of a snow storm, Elijah saw there was a lot of snow on his front lawn. The temperature increased and the snow began to melt at a steady rate. There was a depth of 18 inches of snow on the lawn when the storm ended and then it started melting at a rate of 1.5 inches per hour. Write an equation for S, in terms of t, representing the depth of snow on Elijah's lawn, in inches, t hours after the snow stopped falling.
Answers
Answer:
S = 18 - 1.5t
Step-by-step explanation:
The initial value is 18 inches
The rate of change is -1.5 inches per hour
t is the number of hours
S = 18 - 1.5t
A semicircle is drawn onto one of the shorter sides of a rectangle. The shorter side of the rectangle measures 4 centimeters. The area of the figure is 41.4 square centimeters.
What is the length of the longer side of the rectangle?
Use 3.14 for π.
Enter your answer as decimal in the box.
Answers
We are given that :
A semicircle is drawn onto the shorter side of rectangle.Shorter side of rectangle measures 4cm. i.e; the diameter of the circle is 4cmArea of the figure is 41.4 cm²Using Formulas:
Area of rectangle:
[tex] \quad\hookrightarrow\quad{\pmb{ \mathfrak {length\times breadth }}}[/tex]
Area of semicircle:
[tex] \quad\hookrightarrow\quad{\pmb{ \mathfrak{ \dfrac{\pi r^2 }{2}}}}[/tex]
We have to find the length of longer side of rectangle!Here, we can know that the figure is composed of one rectangle and one semicircle. Therefore by combining the areas of rectangle and circle and taking the length of rectangle as a variable , we will finds its value ;
[tex] \quad\dashrightarrow\quad \sf {Area_{\tiny { total}} = Area_{\tiny {rectangle}}+ Area_{\tiny {semicircle}}}[/tex]
[tex] \quad\dashrightarrow\quad \sf {A = ( l \times b ) + \dfrac{\pi r^2 }{2} }[/tex]
[tex] \quad\dashrightarrow\quad \sf {41.4 = ( l \times 4 ) +\dfrac{3.14\times 2^2}{2} }[/tex]
[tex] \quad\dashrightarrow\quad \sf { 41.4= ( l \times 4 )+ \dfrac{ 3.14\times 4}{2}}[/tex]
[tex] \quad\dashrightarrow\quad \sf { 41.4=( l \times 4 )+ \dfrac{12.56}{2}}[/tex]
[tex] \quad\dashrightarrow\quad \sf { 41.4= (l \times 4 )+ 6.28}[/tex]
[tex] \quad\dashrightarrow\quad \sf {l \times 4 = 41.4-6.28 }[/tex]
[tex] \quad\dashrightarrow\quad \sf { l\times 4 = 35.12}[/tex]
[tex] \quad\dashrightarrow\quad \sf { l =\dfrac{35.12}{4}}[/tex]
[tex] \quad\dashrightarrow\quad \underline{\underline{\pmb{\sf {l = 8.78\:cm}}} }[/tex]
The length of the longer side of the rectangle will be 8.78 cm.
What is the area?The area of a two - dimensional figure is the area that its perimeter encloses. The quantity of unit squares that occupy a closed figure's surface is its region.
On one of a rectangle's shorter sides, a semicircle is drawn. The rectangle's shorter side is 4 cm long. The figure has a surface area of 41.4 square centimeters.
Then the length of the rectangle is calculated as,
A = πr² / 2 + l × b
41.4 = (3.14 / 2) × (4/2)² + 4l
41.4 = 6.28 + 4
l = 8.78 cm
The length of the longer side of the rectangle will be 8.78 cm.
More about the area link is given below.
https://brainly.com/question/27683633
#SPJ3
Ms. Waters, the manager of Paradise Lake, just ordered a duck and goose food dispenser. She plans to use a paper cone to hold the pellets. The machine is set to dispense no more than 350 cm3 of food for each token. The cones are 12 cm. in diameter. How tall must the cone be to hold the food
Answers
Step-by-step explanation:
Equation for the volume of a cone is
V = (pi(r^2)h)/2
Plug in the known values to get
350 = (pi(6^2)h)/2
To find h, just isolate it by first dividing both sides by 2 and squaring 6 to get
175 = pi(36)h
Then, divide both sides by pi36 to get
h = 175/pi(36)
Write the equation of the line that passes through (2, 0) and (0, 3).
Answers
Answer:
Y= -1.5x+3
Step-by-step explanation:
(Y-Y1)=m(x-x1)
0-3=m(2-0)
m= -1.5
Y= -1.5x+B
when y=3 and x=0 b=3
This figure has two intersecting lines and a ray. What is the value of x?
108°
72°
19°
37°
Answers
Answer: The answer is 37
Step-by-step explanation:
If you subtract 71 from 108 the answer is 37
Since the angles of (x + 71)º is opposite to the same vertex to the angle of 108º, it is found that x = 37º.
The ray generated two angles, xº and 71º.Adding these angles, there is an angle of (x + 71)º, which is opposite to the same vertex to the angle of 108º, meaning that they have the same measure.
Applying the equality:
[tex]x + 71 = 108[/tex]
[tex]x = 108 - 71[/tex]
[tex]x = 37[/tex]
Thus, x = 37º.
A similar problem is given at https://brainly.com/question/16742265
14. The referee at a college football game is standing 12 yards behind the ball. The
back judge is standing 22 yards in front of the ball. The field judge is standing
exactly halfway between them. Using coordinates to model the situation, find
how far in front of the ball the field judge is. Explain.
Answers
Using coordinates, the field judge is exactly 5 yards in front of the ball.
What are coordinates?These are values that show the position of an object, these values often include a number for the x-axis (horizontal axis) and one for the y-axis (vertical axis).
What are the positions of the referee, the back judge, and the field judge?If we consider the ball as 0 or the starting point the coordinates are:
Referee (12, 0)Back judge (-22,0)Field judge y-axis = 0 because all of them are at the ground levelx- axis = 12 + 22 = 34/2 = 17x- axis =-22+17= -5=x-axis= -5 or 5 yards in front of the ball.Learn more about coordinates in: https://brainly.com/question/13140132