Quadrilateral ABCD is inscribed in circle O.
What is m∠B ?
Enter your answer in the box.
Answers
The measure of angle B is 125 degrees in the given quadrilateral inscribed in circle O.
In a quadrilateral inscribed in a circle, opposite angles are supplementary.
Therefore, we can set up the equation:
∠A + ∠C = 180 degrees
Substituting the given values:
(2x-7) + (x+4) = 180
Combining like terms:
3x - 3 = 180
Adding 3 to both sides:
3x = 183
Dividing both sides by 3:
x = 61
Now we can find ∠B:
∠B = 2x + 3
∠B = 2(61) + 3
∠B = 122 + 3
∠B = 125
Therefore, m∠B is equal to 125 degrees.
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Related Questions
3/10=9/? Equivalent fraction
Answers
Brainliest please?
2) two florist purchased flower bouquets and vases at the same store. The first florist bought 2 flower bouquets and two vases for a total of $12.50. The second florist bought 8 flower bouquets and 2 vases for a total of 29.00
Let b represent the cost of one flower bouquet and v represent the cost of one vase. Write and solve a system of equations to find the price of each type of arrangement. SHOW ALL WORK!
Answers
b---------> the cost of one flower bouquet
v--------> the cost of one vase.
we know that
2b+2v=12.50-----> Multiplied by -1------------->-2b-2v=-12.50
8b+2v=29---------------------------------------------> 8b+2v=29
I add the two equations ------------------------
6b=16.50
b=2.75
2*2.75+2*v=12.50---------------> v=(12.50-5.5)/2---------> v=3.5
the answer is
the cost of one flower bouquet is $2.75
the cost of one vase is $3.5
I rly need help pls help me
Answers
= 11/0.9135
= 12.0 to the nearest tenth.
Can this be simplified?
Answers
[tex]\frac12x^4 + x - \frac54 [/tex]
Then you could factor out an x and write:
[tex]x(\frac12x^3 + 1) - \frac54[/tex]
Not sure if this is any simpler. I'd go for the top one as the cleanest form.
PLZ HELP!!!!!! The assessment for this lesson is to participate in a discussion about composite figures. You will be able to participate in the discussion throughout the unit. You are required to complete the following: 1) Respond to the discussion topic. 2) Respond to your two of your classmates’ ideas as well. Discussion Topic: What is an example of a composite figure in your home or community? How would you decompose it to find the area? Can you think of another reason that it would be helpful to decompose these figures in addition to making it easier to find the area of the figure? Before participating in the discussion, please review the discussion guidelines and grading rubric used to evaluate your participation.
Answers
Imagine the sets of regular kitchen cabinets going around the walls, refrigerators and sinks in your kitchen. They are generally all connected together in one piece.
However, there are also all individual pieces. To find the total volume of the cabinets, you should break them all down into the individual single prisms.
You could also look at it as an area problem on the wall. How much total space are the cabinets taking up.
I need consumer math help!!!!!
1. A house is used as for a loan (1point)
a)an asset
b)security
c)insurance
d)collateral
2.Most credit cards are debt. (1point)
a)unsecured
b)secured
c)collateral
d)relaized
3.You have a balance of $1,678.00 on a credit card with a 15.75% APR. How much intrest is accured if you pay nothing on the principal after 3 months?
a)$22.02
b)$66.07
c)$264.29
d)$88.10
4.you carry a balance of $2,065.00 on a credit card at a 17.25% APR for 5 months. How much is your total payment by the fifth month? (1point)
a)$2,094.68
b)$2,213.42
c)$2,421.21,
Answers
2. a) unsecured
3. The interest will be ((1 +.1575/12)^3 -1)*1678 ≈ 66.94. The 2nd selection is the best choice here: b) $66.07
4. The balance will be (1 +.1725/12)^5*2065 ≈ 2217.75. The 2nd selection is the best choice here: b) $2213.42
_____
The answer choices offered in your problems cannot be reproduced without incorrectly rounding interest values used in intermediate calculations.
1.D) collateral
2.A.) Most credit cards are unsecured debt
3.B.)$66.07
4.B.) 2,213.42
4/4 100%
HOPE I HELP I HAVE A NICE DAY
A box measures 6inches by 2inches by 3 inches find the volume of the box in cubic feet enter as a fraction ?
Answers
Convert 6 inches to feet:
------------------------------------------------
6 inches = 6 ÷ 12 = 1/2feet
------------------------------------------------
Convert 2 inches to feet:
------------------------------------------------
2 inches = 2 ÷ 12 = 1/6 feet
------------------------------------------------
Convert 3 inches to feet:
------------------------------------------------
3 inches = 3 ÷ 12 = 1/4 feet
------------------------------------------------
Find Volume:
------------------------------------------------
Volume = 1/2 x 1/6 x 1/4 = 1/48 ft³
------------------------------------------------
Answer: 1/48 ft³
------------------------------------------------
Three dice are going to be rolled. What is the probability that the first die rolled is a 1, the second die rolled is a 2, and the third die rolled is a 3? (If necessary, round to the nearest tenth)
Answers
The chance of each given event happening is 1/6 because there are 6 different number on the dice and only 1 number is chose.
Therefore to find the combined probability, we have to multiply all the individual probabilities.
(1/6) x (1/6) x (1/6)
Or
(1/6)^3
The answer is about 0.46%,
Probability of getting first die rolled is a 1, second die rolled is a 2 and third die rolled is a 3 is equals to 0.46% (nearest tenth).
What is probability?
" Probability is a mathematical expression which represents the ratio of number of favourable outcomes to the total number of outcomes."
Formula used
Probability = [tex]\frac{Number of favourable outcomes}{Total number of outcomes}[/tex]
According to the question,
Possible outcomes on each die = { 1, 2, 3, 4, 5, 6}
Substitute the value in the formula as per the given condition we get,
Probability that the first die rolled is a 1 = ( 1 / 6)
Probability that the second die rolled is a 2 = ( 1 / 6)
Probability that the third die rolled is a 3 = ( 1 / 6)
Required Probability = (1 / 6) × (1 / 6) ×(1 / 6)
= ( 1 / 216)
= 0.0046
= 0.46% (nearest tenth)
Hence, required probability (nearest tenth) = 0.46%
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What is the sum or difference?
1. 2x^4 - 8x^4
(A). -6x^8
(B). -6x^4
(C). -16x^4
(D). -16x^8
What is the sum or difference?
2. 6y^5 - 9y^5
(A). -3y^10
(B). 15y^5
(C). -54y^5
(D). -3y^5
3. Write the Polynomial in standard form. Then name the Polynomial based on its degree and number of terms.
6 - 12x + 13x^2 - 4x^2
(A). 9x^2 - 12x; quadratic binomial
(B). 9x^2 - 12x + 6; quadratic trinomial
(C). -3x^2 + 6; quadratic binomial
(D). 9x^2 - 12x - 6; cubic trinomial
4. A biologist studied the populations of common guppies and Endler's guppies over a 6-year period. The biologist modeled the populations, in ten of thousands, with the following polynomials where x is time, in years.
Common guppies: 3.1x^2 + 6x + 0.3
Endler's guppies: 4.2x^2 - 5.2x + 1
What polynomial models the total number of common and Endler's guppies?
(A). 7.3x^2 + 0.8x + 0.7
(B). 7.3x^2 - 0.8x + 1.3
(C). 7.3x^2 + 0.8x + 1.3
(D). 7.3x^2 + 0.8x - 1.3
5. A family is building a circular fountain in the backyard. The yard is rectangular and measures 14x by 19x and the fountain is going to be circular with a radius of 6x. Once the fountain is built, what will be the area of the remaining yard?
(A). 230πx^2
(B). 230x^2
(C). 266x^2 - 6πx^2
(D). 2x^2(133 - 18π)
6. A sports team is building a new stadium on a rectangular lot of land. If the lot measures 6x by 10x and the sports field will be 1x by 4x, how much of the lot will be left over to build bleachers on?
(A). 56x^2
(B). 64x^2
(C). 30x^2
(D). 60x^2
Can someone please help!! This is lesson 9, Unit 3, Polynomials and Factoring!!
Answers
Explanation:
Given: [tex]2x^4 - 8x^4[/tex]
Take the common out:
=> [tex]x^4(2 - 8)[/tex]
Hence: => [tex][tex]-6x^4[/tex][/tex] (Option B)
2. Ans: Option (D) [tex]-3y^5[/tex]
Explanation:
Given: [tex]6y^5 - 9y^5[/tex]
Take the common term(s) out:
=> [tex]y^5(6-9)[/tex]
Hence: => [tex]-3y^5[/tex] (Option D)
3. Ans: Option (B) [tex]9x^2 - 12x + 6[/tex] quadratic trinomial
Explanation:
Given: [tex]6 - 12x + 13x^2 - 4x^2[/tex]
The standard form of polynomial function must have the highest powered value at the start, then the second highest and so on.
=> [tex]13x^2 - 4x^2 - 12x + 6[/tex]
=> [tex]9x^2 - 12x + 6[/tex] (Option B)
4. Ans: Option (C) [tex]7.3x^2 + 0.8x + 1.3[/tex]
Explanation:
In order to find the total number of Common and Endler's guppies, you need to add both Common and Endler's guppies' polynomials, as follows:
Common guppies: [tex]3.1x^2 +6.0x + 0.3[/tex]
Endler's guppies: [tex]4.2x^2 - 5.2x + 1.0 [/tex]
(add both)
-----------------------------------------------------------------
Total number: [tex]7.3x^2 +0.8x + 1.3[/tex]
-----------------------------------------------------------------
Hence the ans is Option(C) [tex]7.3x^2 + 0.8x + 1.3[/tex]
5. Ans: Option (D) [tex]2x^2(133 - 18 \pi )[/tex]
Explanation:
First let's find the total area of the yard:
Total Area of the Yard = 14x * 19x = [tex]266x^2[/tex]
Now the area of the circular fountain:
Area of the Circular Fountain = [tex] \pi r^2[/tex]
Since, r=6x
Therefore,
Area of the Circular Fountain = [tex] \pi (6x)^2 = 36 \pi x^2[/tex]
Now the final Area of the yard would be:
Final area of the Yard = Total Area of the Yard - Area of the Circular Fountain
Final area of the Yard = [tex]266x^2[/tex] - [tex]36 \pi x^2[/tex]
=> Final area of the Yard = [tex]2x^2(133 - 18 \pi)[/tex] (Option D)
6. Ans: Option (A) [tex]56x^2[/tex]
Explanation:
First let's find the total area of the lot:
Total Area of the lot= 6x * 10x = [tex]60x^2[/tex]
Now the area of the stadium:
Area of the stadium = 1x * 4x = [tex]4x^2[/tex]
Now the final Area of the lot would be:
Final area of the lot= Total Area of the lot - Area of the stadium
Final area of the lot= [tex]60x^2[/tex] - [tex]4x^2[/tex]
=> Final area of the lot = [tex]56x^2[/tex] (Option A)
-i
Answer:1. B
Step-by-step explanation:
One card is drawn from a well shuffled deck of 52 cards find the probability of getting a red 10
Answers
(1/2)(4/52) = 4/104
4/104 = 1/26
Therefore, the probability is 1/26
MATH HELP. ^^
Answer the two pages below.
Answers
P = Principal Amount I =Interest Amount r = Rate of Interest per year in decimal; r = R/100 t = Time Periods involved
y = mx + b Which variable represents the slope?
Answers
The variable 'm' represent the slope.
What is slope?The slope is defined as the ratio of the vertical change between two points, the rise, to the horizontal change between the same two points, the run.
Given:
y= mx + b
The slope of a line is defined as the change in y coordinate with respect to the change in x coordinate of that line.
The net change in y coordinate is Δy, while the net change in the x coordinate is Δx.
So the change in y coordinate with respect to the change in x coordinate can be written as,
m = Δy/Δx
where, m is the slope
The slope of a line can be calculated from the equation of the line. The general slope of a line formula is given as,
y = mx + b
where,
m is the slope, such that m = tan θ = Δy/Δx
θ is the angle made by the line with the positive x-axis
Δy is the net change in y-axis
Δx is the net change in x-axis
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For f(x) = 3x +1 and g(x) = x2 – 6, find (f – g)(x).
A. x2 – 3x – 7
B. –x2 + 3x + 7
C. –x2 + 3x – 5
D. 3x2 – 17
Answers
(f-g) (x) = -x² + 3x + 7
Explanation:
We are given that:
f (x) = 3x + 1
g (x) = x² - 6
We want to find (f-g) (x), we can simply obtain the result by subtracting g (x) from f (x) as follows:
(f-g) (x) = f (x) - g (x)
(f-g) (x) = 3x + 1 - (x²-6)
(f-g) (x) = 3x + 1 - x² + 6
(f-g) (x) = -x² + 3x + 7
Hope this helps :)
Answer:
Option (b) is correct.
[tex](f-g)(x)=-x^2+3x+7[/tex]
Step-by-step explanation:
Given : Functions [tex]f(x) = 3x +1[/tex] and[tex]g(x) = x^2-6[/tex]
We have to choose the correct option from the given options that represents (f-g)(x)
Consider the given functions
[tex]f(x) = 3x +1[/tex] and[tex]g(x) = x^2-6[/tex]
then , (f - g)(x) = f(x) - g(x)
Substitute, we have,
[tex]f(x) - g(x)=3x+1-(x^2-6)[/tex]
Applying plus - minus rule[tex]-(-a)=a[/tex], we have,
[tex]f(x)-g(x)=3x+1-x^2+6[/tex]
Simplify and write in standard form, we have,
[tex]f(x)-g(x)=-x^2+3x+7[/tex]
Thus, The[tex](f-g)(x)=-x^2+3x+7[/tex]
helpppppppppppppppppppppppppppppppppp
Answers
.. |p| < (9 +7)/4
which is represented by the 1st selection.
What is the measure of angle B in the triangle?
m∠B= [???]
A triangle labeled ABC with angle A: 120, angle B: x [unknown] and angle C as ( x+16).
What is the value of X (aka angle B.)
Answers
180 = 120 + x + x + 16
Simplify: 180 = 136 + 2x
Subtract: 44 = 2x
Divide: x = 22
Answer: x (Angle B) = 22
Hope this helps!! :)
Pleas help !!!!!
The table below shows some values of f(x) and g(x) for different values of x: x f(x) = 2x + 24 g(x) = 5(0.5)x −2 20 −1 0 5 1 2.5 2 28 Complete the chart and determine the solution of the equation f(x) = g(x). x = −2 x = −1 x = 1 x = 20
Answers
f (x) = 2x + 24
g (x) = 5 (0.5) ^ x
We write the table now correctly completing the missing values:
x f(x) = 2x + 24 g(x) = 5(0.5)^x
−2 20 20
−1 22 10
0 24 5
1 26 2.5
2 28 1.25
We observe that according to the table:
f (x) = g (x) for x = -2
Answer:
x = -2
Which graph represents the solution set for the system 6x + y > -3 and 2x + y ≤ 4?
GRAPH A:
https://cdn.ple.platoweb.com/EdAssets/569ffaae985e4d30af1d47501f6a3071?ts=635295994038270000
GRAPH B:
https://cdn.ple.platoweb.com/EdAssets/a0685f1258de4321b8ad526cba13ea68?ts=635295994033270000
GRAPH C:
https://cdn.ple.platoweb.com/EdAssets/7a8269a9613f472e9fd34597d3a0185c?ts=635295994031070000
GRAPH D:
https://cdn.ple.platoweb.com/EdAssets/9886daa9d6944ccd91d245f0d522c20a?ts=635295994027500000
Answers
The doubly-shaded area is the solution set. The dashed line is not included.
Answer:
Graph B is the answer.
Step-by-step explanation:
We know that both functions are inequalities, however,
The second one (red on the graph) has 'less or equal sign, ≤' meaning that, the line of the function is included as shown on graph B with a continuous line.
The first one has a 'greater than, >' meaning that the line of the function is not included, therefore the line is a dotted line, as shown on graph B.
The shaded area must be between the two inequalities because that where the X's can be met.
Therefore, the answer is graph B.
If the lengths of two sides of an isosceles triangle are 10 and 4, respectively, what must be the length of the third side of the triangle?
How do you know if it's 10 or if it's 4?
Answers
This is a little confusing. But it’s 10. If there’s 2 sides with the length of 4 and one with 10, then it’s not a closed triangle. With two sides lengths of 10 and one with 4, the triangle is able to be closed.
I hope this helps!
brainliest plz??
A serving of a certain cereal has 8 grams of sugar in 1 portion. Which equation shows how the amount of sugar and the number of portions are related? The s stands for the grams of sugar and the p stands for the portions of cereal.
Answers
Hope this helps!
Answer:
The answer was actually s = 8p! Just tried it out on the ttm website. Hope that this helps!
Portion = 8 grams of sugar
The amount of sugar you have is dependent on how many portions of cereal you have (each one is 8), so this would be Sugar = 8 grams multiplied by how many portions you have. :)
Convert the equation to the standard form for a hyperbola 4x^2-25y^2-8x+50y-121=0
Answers
4x²-25y²-8x+50y-121=0
Group terms that contain the same variable, and move the constant to the opposite side of the equation
(4x²-8x)+(-25y²+50y)=121
Factor the leading coefficient of each expression
4(x²-2x)-25(y²-2y)=121
Complete the square twice. Remember to balance the equation by adding the same constants to each side.
4(x²-2x+1)²-25(y²-2y+1)²=121+4-25
Rewrite as perfect squares
4(x-1)²-25(y-1)²=100
Divide both sides by the constant term to place the equation in standard form
(4/100)(x-1)²-(25/100)(y-1)²=100/100
(1/25)(x-1)²-(1/4)(y-1)²=1
[(x-1)²]/25-[(y-1)²]/4=1
the answer is
[(x-1)²]/25-[(y-1)²]/4=1
Based on the graph below, what is the solution of the equation f(x) = g(x)? graph of function f of x equals negative x plus 0.5 and graph of function g of x equals x squared plus 3 multiplied by x minus 4
Answers
f(x)=-x+0.5
g(x)=x²+3x-4
f(x)=g(x)------------> -x+0.5=x²+3x-4-------------> x²+3x-4+x-0.5=0
x²+3x-4+x-0.5=0---------------> x²+4x-4.5=0
using a graph tool
see the attached figure
the solution are the points (-4.915,0) and (0.915,0)
This table shows the weekly rainfall, in inches, for two cities for ten weeks.
City A 0.2 0 1.5 1.3 2.5 3 0.4 0.3 0.2 1
City B 0 0 0.4 0.2 0.3 1 1 1 0.1 0.1
Which conclusion can be drawn from the data?
During the 10 wk period, the rainfall amount recorded most often for City B was 1 in.
The range between the maximum and minimum values for City B is greater than the range between the maximum and minimum values for City A.
For the ten weeks, City A received less rainfall, on average, than City B
The median for City A is less than the median for City B. pls help me
Answers
The correct choice is the first statement about the mode for City B.
Answer: A. During the 10 wk period, the rainfall amount recorded most often for City B was 1 in
Step-by-step explanation: k12 test unit 5.10
. Ms. Franco earned $709.54 in net pay for working 25 hours. She paid $87.45 in federal and state taxes, and $38.45 in FICA taxes.
What was her hourly wage?
(Points : 1)
$23.35
$28.38
$32.42
$33.42,
Answers
Ms. Franco hourly wage is approximately $33.42
Data
Net pay = $709.54Total hours = 25Federal and state tax = $87.45FICA taxes = $38.45To solve this problem, we have to trace back to know her gross pay and then divide it by the total number of hours worked.
Gross PaySum of all her net pay and all taxes.
[tex]709.54+87.45+38.45=835.44[/tex]
Her total gross pay is $835.44
Hourly WageThis is the amount she earned working for each hour.
Since she worked for a total of 25 hours, let's divide her gross pay by 25
[tex]\frac{835.44}{25}=33.4176[/tex]
Ms. Franco hourly wage is approximately $33.42
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A nontoxic furniture polish can be made by combining vinegar and olive oil. the amount of oil should be five times the amount of vinegar. how much of each ingredient is needed in order to make 39 oz of furniture polish?
Answers
Let V be the amount of vinegar and L be the amount of oil.
Since the amount of oil is 5 times the amount of vinegar, L = 5V. We know that together they form 39 oz; therefore
V + 5V = 39
6V = 39
Divide both sides by 6:
6V/6 = 39/6
V = 6.5
L = 5V = 5(6.5) = 32.5
Final answer:
To make 39 oz of non-toxic furniture polish with the ratio of olive oil being five times the amount of vinegar, 6.5 oz of vinegar and 32.5 oz of olive oil are needed.
Explanation:
We know the oil to vinegar ratio is 5:1.
Let x be the amount of vinegar: We can use any variable to represent the unknown amount.
Set up the equation: Since the total volume is 39 oz and the ratio is 5:1, we have the equation: x (vinegar) + 5x (olive oil) = 39 oz.
Combine like terms: 6x = 39 oz.
Solve for x (vinegar): x = 39 oz / 6 = 6.50 oz.
Calculate the olive oil amount: Olive oil = 5 × vinegar = 5 × 6.50 oz = 32.50 oz.
Therefore, you'll need 6.50 oz of vinegar and 32.50 oz of olive oil to make 39 oz of furniture polish.
Remember to always test the polish on a small inconspicuous area of the furniture before applying it to the entire surface. And, for best results, use a clean, soft cloth to apply the polish and buff it to a shine.
The steps used by Taylor to solve the equation 3(x - 2) = 6(2x + 1) + 6 are shown below:
3(x - 2) = 6(2x + 1) + 6
x - 2 = 2(2x + 1) + 2
x - 2 = 4x + 2 + 2
x - 2 = 4x + 4
-3x - 2 = 4
-3x = 6
x = -2
Which properties did Taylor use to solve
the equation? Choose all that apply.
A. Distributive property
B. Commutative property
C. Inverse Operation Property
D. Associative property of multiplication
E. The sum of a number and its additive inverse is 0.
F. The product of a number and its multiplicative inverse is 1.
Answers
Quick calculus question work doesn't have to be shown
Suppose the radius of a spherical balloon is growing at a rate of 50 cm/s . How quickly is the volume when the radius is 6cm?
Answers
I need help with how to solve this geometry question! PLEASE! DESPERATELY NEEDED!!
Answers
To find the missing side, you have to write a proportion because the sides are proportional.
When an angle is bisected like this, you can write:
28/x = 12/(30 - x)
Cross multiplying will give you:
12x = 840 - 28x
40x = 840
x = 21
You could plug the 21 back in and you will see that the sides are proportional.
Good luck!
What is the explicit rule for the sequence?
34,26,18,10, …
an = 26 − 8n
an = 42 − 8n
an = 34n − 26
an = 34n + 42
Answers
the explicit formula for the sequence is:
an=a+(n-1)d
where
a=first term
n=index
d=common difference
from the sequence
a=34
d=26-34=-8
thus the explicit formula will be:
an=34-8(n-1)
an=34-8n+8
an=42-8n
Answer:
OPTION B
Step-by-step explanation:
a. The figure at the right shows a long rectangular strip of paper, one corner of which has been folded over to meet the opposite edge, thereby creating a 30-degree angle. Given the width of the strip is 12 inches, find the length of the crease.
b. Instead of a 30-degree angle, suppose that the angle has an unspecified size t. Use trigonometry to find the length of the crease, expressed in terms of t.
c. Find the approximate value of t that makes the crease as short as it can be. Restrict your attention to values of t that are less than 45 degrees. Explain your method.
Answers
m∠CDF = m∠CAE = 2t
Putting these relationships together, we have
.. DF/CD = cos(2t) = (12-x*sin(t))/(x*sin(t))
Solving for x, we get
.. x*sin(t)*cos(2t) = 12 -x*sin(t)
.. x*sin(t)*(1 +cos(2t)) = 12
.. x = 12/(sin(t)*(1 +cos(2t))
.. x = 6/(sin(t)*cos(t)^2)
For t = 30°, x = 6/(3/8) = 16
For a 30° angle, the length of the crease in 16 inches.
B. From above,
.. crease length = (6 inches)/(sin(t)*cos(t)^2)
C. Using a graphing calculator, we can find the angle that makes the crease length a minimum. See the second figure. It is about 35.264°.
___
An exact solution using derivatives gives arcsin(1/√3) ≈ 35.264390°.
Polynomials Multiply. −3y(5y3+11y2−y+8) Express the answer in standard form. Enter your answer in the box.
Answers
Factored: 3y (-5y³-11y²+y-8)
The given expression is 3y (-5y³-11y²+y-8)
We use distributive rule to distribute 3y to the terms -5y³-11y²+y-8.
The distributive rule states :To multiply a sum by a number, multiply each term of the sum.
This can be applied to multiply a monomial and polynomial.
The Distributive Property is an algebra property which is used to multiply a single term and two or more terms.In multiplication exponents are added.
3y (-5y³-11y²+y-8) =[tex] -15y^{4} -33y^{3} +3y^{2} -24y [/tex]