Simplify the expression.
[tex](1+\frac{x}{y} )(\frac{4y^{2} }{x^{2} -y^{2} } )[/tex]
Answers
Answer:
4y / x-y
Step-by-step explanation:
First change 1 to y/y. This allows us to rewrite the first term as a single fraction.
We can also factor the denominator of the second term.
x^2 - y^2 factors into (x - y)(x + y)
The y cancels and also the term x+y cancels. See image.
(\frac{4y^{2} }{x^{2} -y^{2} } )[/tex]](https://brainimage.s3.us-east-005.backblazeb2.com/answers/attachments/t0EtiRibVqdy0abJtPjN5PnP3b6YoZFY.jpeg)
(\frac{4y^{2} }{x^{2} -y^{2} } )[/tex]](https://brainimage.s3.us-east-005.backblazeb2.com/answers/attachments/8s2XDZ8JgdMZwiGiWHZ6K85gCfO7O6aV.png)
Related Questions
In □PQRS side PQ∥ side RS. If m∠P = 108degree
and m∠R = 53degree
, then find m∠Q and m∠S.
Answers
In □PQRS side PQ∥ side RS. If m∠P = 108degree
and m∠R = 53degree
To Find :-m∠Q and m∠S.
Solution :-According to angle sum property
P∠Q=180−∠P
∠Q=180−108
[tex]\boxed{\sf{\angle Q = 72°}}[/tex]
For angle S
∠S=180−∠R
∠S=180−53
[tex]\boxed{\sf {\angle S = 127°}}[/tex]
[tex]\maltese\bold {lucky75} \maltese[/tex]
Answer:
Step-by-step explanation:
In □PQRS side PQ∥ side RS
so m∠P and m∠S are interior angle pair which add to 180degree
given m∠P = 108degree
m∠S = 180 - 108 = 72degree
similarly m∠R and m∠Qare interior angle pair which add to 180degree
given m∠R = 53degree
m∠S = 180 - 53 = 127degree
Which fractions are closer to 0 than 1? Check all that apply.
Answers
Answer:
b and d are closer to 0 than 1 mark me brainliest
Step-by-step explanation:
Answer:
B. and D the rest are half or closer to 1
hope this helps
have a good day :)
Step-by-step explanation:
Some drawbacks to renting can be: (Check all that apply) A. You build equity in a house B. Improvements made benefit the landlord. C. You have to ask permission to change things.
Answers
Answer:
A, B, C
Step-by-step explanation:
an asphalt parking lot is in the shape of a trapezoid if it costs 1.75 per square yard to seal an asphalt surface find the cost to seal the parking lot
Answers
Answer:
The answer would be $1995
Step-by-step explanation:
Trust me
A a) Is (x + 4) a factor of (x^ 2 +9x+20)? In other words , does x + 4 divide evenly into x ^ 2 + 9x + 20 ?
Answers
Answer:
Yes
Step-by-step explanation:
the factors of (x^ 2 +9x+20) are (x+4)(x+5)
Vote you brainlest thanks
Answers
Answer:
D 11/18 11:18 11 to 18
Step-by-step explanation:
Because there are eleven technicians, our numerator is 11. Then, because there are 18 total helpers our denominator is 18.
What is the missing reason for line 2 in this proof?
Answers
Definition of a rectangle
Explanation:
A rectangle has two sets of parallel sides, and those opposite sides are the same length. This is simply the definition of what it means to be a rectangle. Because ABCD is a rectangle, we have these two pairs of congruent opposite sides:
AB = CDAD = BCSomeone please please help me ASAP
No links or files
I will give Brainly
Answers
Answer:
1) 6
2) 9
3) improper.
Step-by-step explanation:
I hope this helps!
Answer:
Q2) 9
explanation:6/1 / 2/3
Applying the fractions formula for division,
6 x 3
1 x 2
18/2 simplyfy 9
Q3)improper fraction
select all the Expressions that are rational numbers.
Can someone help me find the answer please? I have to finish this very soon.
Answers
Answer:
The first answer to the fourth answer is rational numbers.
Step-by-step explanation:
Rational numbers are usually expressed as fractions or decimals, but rational numbers are never whole numbers. Hope this helps!
Solve using the quadratic formula. Show all work. Write each solution in simplest form. No decimals.
Answers
Answer:
the answer would be letter B
Jason and Marie both travel 300 miles. Jason drove at an average speed of 10 miles per hour faster than Marie and made the trip in one hour less time. Find the average speeds of both cars.
Answers
Answer:
jason: 60mph
marie: 50mph
Step-by-step explanation:
let jason drive at x miles per hour
let marie drive at x-10 miles per hour
let jason drive for y hours
let marie drive for y+1 hours
distance = speed * time
for jason:
300 = x * y
for marie:
300 = (x-10) * (y+1) = x*y + x - 10y -10
300 = x*y
divide both sides by x to solve for y
300/x = y
plug this into the second equation
300 = (x-10) * (300/x+1) = 300 -3000/x +x -10
300 = 300 -3000/x +x -10
subtract 300 from both sides
0 = -3000/x + x - 10
multiply both sides by x to get rid of the denominator
0 = x^2 -10x -3000
factor
0 = x^2 - 60x +50x -3000
0 = x(x-60) + 50(x-60) = (x+50)(x-60)
x = 60 or -50
x cannot be negative so x = 60mph
marie = 60-10 = 50mph
I need help with this question please
Answers
The average rate of change is the ratio of the difference between the y coordinates of two points to the x coordinate of the same point.
It can be found by using two points on the graph and substitute into the formula: (y₀ - y₁) / (x₀ - x₁)
The square brackets [] is used to mean the end points as shown is inclusive
What is average rate of change in quadratic equation?A quadratic equation is a polynomial of degree two
The average rate of change here is not constant and is usually specified by the two points to which it is measured
For instance using points (-3, 0) and (0, -1) we have
= (y₀ - y₁) / (x₀ - x₁)
= (-1 - 0) / (0 - (-3))
= -1/3
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A circle is inscribed in quadrilateral , tangent to at and to at . Given that , , , and , find the square of the radius of the circle.
Answers
The square of the radius of the given circle is [tex]$OP^2 = 703$[/tex]
What is quadrilateral?A quadrilateral is a four-sided polygon in geometry that has four edges and four corners. The word is a derivative of the Latin words quadri and latus. Having four sides, four vertices, and four corners, a rectangle is a two-dimensional form. Concave and convex come in primarily two varieties.
We can use the concept of the power of a point, which states that the square of the distance of a point from a line is equal to the product of the distances of the point from the two tangents to the line that are drawn from the point.
Let [tex]$O$[/tex] be the center of the inscribed circle.
The power of point O with respect to AB and CD is [tex]$(OPOQ) = (1937) = 703$[/tex]
Since the Circle is tangent to AB and CD at P and Q respectively, so [tex]$OP = OQ$[/tex]
So, [tex]$OP^2 = 703$[/tex]
Hence, the square of the radius of the circle is [tex]$OP^2 = 703$[/tex]
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Complete question is: A circle is inscribed in quadrilateral [tex]$A B C D$[/tex], tangent to [tex]$\overline{A B}$[/tex] at [tex]$P$[/tex] and to [tex]$\overline{C D}$[/tex] at [tex]$Q$[/tex]. Given that [tex]$A P=19, P B=26, C Q=37$[/tex], and [tex]$Q D=23$[/tex], find the square of the radius of the circle.
An equilateral triangle $ABC$ shares a common side $BC$ with a square $BCDE,$ as pictured. What is the number of degrees in $\angle DAE$ (not pictured)
Answers
30° = angle DAE
Step-by-step explanation:
We have ACD with angle ACD = 150°, and because CD = CA, angle CAD and ADC are equal, so angle CAD = [180 -150] / 2 = 30/2 = 15°.
if we draw AE in ABE using the same process, angle EAB = 15°,
so CAB = 60° = angle =CAD + angle DAE + angle EAB
60 = 15 + angle DAE + 15
60 = 30 + angle DAE
30° = angle DAE
Triangle with an equilateral shape. An equilateral triangle is a triangle with all of its sides being the same length. An equilateral triangle, for example, has three sides equal to 5cm. Because the three sides are equal, the three angles opposite the equal sides are equal in size.
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Jordan made this design from three pieces of square-shaped cloth. What is the total area of the design jordan made? 4cm 6cm 8cm Explain how you found your answer
Answers
The design has a total area of 116 cm² when measured using the area of a square.
What is the area?The area is the total amount of space that an object's shape or a flat (2-D) surface occupies.
Create a square on paper by using a pencil.
Two dimensions make it up.
A shape's area on paper is the space it takes up.
Given that a square has equal sides, we can calculate its area as follows:
A = s²
The photograph below illustrates the three square-shaped pieces of fabric that Jordan used to create the design.
Find the area of each square-shaped piece of fabric and add them all up to get the total pattern area.
Inferring the area of a square, the total area would be as follows:
Total Area = 4² + 6² + 8²
Total Area = 116 cm²
Therefore, the design has a total area of 116 cm² when measured using the area of a square.
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Student perform one trial of a cientific experiment if the reult of that trial do not upport the prediction what hould the tudent do next?
Answers
If the student perform one trial of scientific experiment , and the result of that trial do not support the prediction , then the student should repeat the experiment , modify the experiment and can use alternative Method .
If in the Scientific Experiment the result does not support the prediction of the student in one trial , then the student can :
(i) Modify the Experiment :
The students can modify scientific experiment in other way and try again. For Example, they student change variables being tested or methods used to collect data.
(ii) Use Alternative Explanations :
The students can use alternative explanations for results. It may be possible that the prediction was correct, but there were other factors that may influence outcome of experiment.
(iii) Repeat the Experiment :
The student can repeat the experiment by the same procedures to see if he gets same results and if results are consistent, it can concluded that the prediction was incorrect .
The given question is incomplete , the complete question is
Student perform one trial of a scientific experiment if the result of that trial do not support the prediction what should the student do next ?
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What should be the value of a if the value of 2x^2 XA equals to 5 when?
Answers
The value of a is -5. All phrases that involve x become zero when we set their value to zero, leaving only constant terms.
The given equation is 2x^2 + x -a = 5.
let's try to understand what is an equation.
An equation can be defined in numerous ways. Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions. For example,
The two equations 4x + 56 and 14 are joined by the equal sign to get the equation 4x + 56 = 14. Algebraic equations in mathematics frequently have one or more variables.
There are many different kinds of equations, including cubic, quadratic, and linear equations.
There are many distinct sorts of equations, depending on the degree of the equation.
2x^2 + x -a = 5. put x = 0.
2*0 + 0 - a = 5
0 + 0 -a = 5
-a =5
a = -5.
So the value of a is -5.
Given Question is incomplete complete question here:
What should be the value of a if the value of 2x^2+x - a equals to 5
when x = 0?
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Aaron has $20. He buys 2 Cokes that each cost $1.50. He also buys a sandwich for $5.50 and a bag of chips that costs $2.25. After Aaron pays for his lunch, how much money does he have left?
Answers
Answer:
he has 10.75 left over :)
Answer:
Step-by-step explanation:
20-3-5.50-2.25= $9.25
What is a 120 angle called?
Answers
An angle that measures 120 degrees is called an obtuse angle.
An obtuse angle is defined as an angle that measures greater than 90 degrees but less than 180 degrees. It is formed by the intersection of two lines that are not collinear, that is, they do not lie on the same line, and the angle is greater than a right angle but less than a straight angle.
An obtuse angle is represented by an arc with a curved arrow on one end, pointing in the direction of the other end.
It's important to keep in mind that the term obtuse angle is just a classification based on the measure of the angle, which is greater than 90 degrees but less than 180 degrees, and it's not a specific angle measure, it could be any angle that is in that range.
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Evaluate the radical.
(Look at photo)
Enter your answer in the box.
Answers
Answer:
the answer of
[tex] \sqrt[3]{216} = 6[/tex]
is 6
Step-by-step explanation:
6^3=216
Find the area of the shaded sector of the circle.
Answers
Answer:
16.74
Step-by-step explanation:
Given that
P
=
x
+
y
.
Find
P
when:
x
=
−
25
and
y
=
−
25
Answers
hope this helps
Gcse foundation
Help pls.
Answers
Answer:
In right angle triangle ,hypotenuse is equal to sum of two other sides.so,
(h)^2=(p)^2+(b)^2
(8)^2=(3)^2+(x)^2
64=9+x^2
64-9=x^2
55=x^2
[tex]\sqrt{55}[/tex]=x
7.4=x
Step-by-step explanation:
 If two parallel lines are cut by non-perpendicular transversal, which type of angles are NOT congruent? (geometry)
Answers
Answer:
[tex]{\huge{\underbrace{\overbrace{\color{red}{Answer...}}}}} \\ \\ [/tex]
[tex]\small\boxed{\mathfrak{\underline{Interior \: angles \: are \: not \: congruent}}} \\ \\ {\huge{\underbrace{\overbrace{\color{purple}{hope \: it \: helps... | \: | }}}}} \\ \\ [/tex]
If two parallel lines are cut by non-perpendicular transversal, then the interior alternate angles are NOT congruent.
What is the alternate angles?By the Property of the alternate angles states, if two parallel lines are cut by a transversal, then the alternate angles are congruent. Two angles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.
The Exterior angle is an measure of rotation between one extended side
Let assume ∠XWY and ∠ZYW represent the interior angles between the parallel lines and the transversal.
From the figure attached, we can see that ∠XWY ≅ ∠ZYW
By this property, Both the Lines are the parallel lines intersected by a transversal.
Therefore, the interior alternate angles ∠XWY and ∠ZYW will be congruent.
Hence, If two parallel lines are cut by non-perpendicular transversal, then the interior alternate angles are NOT congruent.
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What is the sign of the rational number you wrote in part A for Quiana's loan? What does the sign represent?
Answers
The question is incomplete. The complete question is :
Quiana’s initial loan amount is -$15,234.68. This is the total amount of money she must pay back to the lender. Part B What is the sign of the rational number you wrote in part A for Quiana’s loan? What does the sign represent?
Solution :
The sign is a negative sign and it represents the money which is debt.
In the question, it is given that Quiana had taken a loan of -$ 15,234.68
This amount of money will be returned to the lender from Quiana which is the debt of Quiana.
The negative sign(-) was inserted before the money that Quiana had borrowed. It represents the money of debt that Quiana owes and this amount is to be returned to the lender by Quiana.
Answer:
Step-by-step explanation:
The sign of the number is negative (-$15,234.68). The negative sign indicates that the loan is a debt. Money will be leaving Quiana’s bank account as she repays the loan.
How tall is a building that casts a 78-ft shadow when the angle of elevation of the sun is 30 degrees?
Answers
Answer: [tex]45.03\ ft[/tex]
Step-by-step explanation:
Given
The length of the shadow is 78 ft
the angle of elevation is [tex]\theta =30^{\circ}[/tex]
Suppose the height of the building is [tex]h[/tex]
From the figure, we can write
[tex]\tan 30^{\circ}=\dfrac{h}{78}\\\\h=78\tan 30^{\circ}\\\\h=45.03\ ft[/tex]
The height of the building is 45.03 ft
Help me with this ASAP plz!!
Answers
Answer:
Rate of change = 2 & Initial value = -1
What is the distance between the following points
Answers
Answer:
The answer is the last option
Square root 8
Step-by-step explanation:
Solve the algebraic fractions: 3 - x+1/2x^2+9x-5 - 2x-1/x+5
Answers
Answer:
The answers final
Simplify the expression
-2+6x+1/2x^2
Factor the expression
1/2x(-4+12x+x^2)
Step-by-step explanation:
I hope it will help you :)
If x is equal to 48 and y is equal to 12 then what is the value of x-4y?
Answers
Answer:
0
Step-by-step explanation:
48 - 4(12)
48 - 48 = 0
Answer:
The value of x - 4y would be 0.
Step-by-step explanation:
Since x is equivalent to 48, and y is equivalent to 12, you need to replace x and y with those values in order to solve the expression. [tex]x-4y[/tex] = [tex]48 - 4 * 12[/tex] = [tex]48 - 48[/tex] = 0, so that is the correct answer.