Answer:
\(t+0.07t=t(1+0.07)=t(1.07)=1.07t\)
Step-by-step explanation:
There are a couple of equivalent expressions to the function \(t+0.07t\). For example:
\(t+0.07t\)
Factor:
\(t+0.07t=t(1+0.07)\)
If you add the terms inside the parentheses:
\(t(1+0.07)=t(1.07)\)
Basically you can add the like terms from the start and get the same result.
\(t+0.07t=1.07t\)
Therefore:
\(t+0.07t=t(1+0.07)=t(1.07)=1.07t\)
The cone in the figure below has a volume of 722 cubic centimeters and a height of 6
centimeters. What is the radius of the base of the cone, in centimeters?
Answer:
r = 10.72 cm
Step-by-step explanation:
h = 6 cm
Volume of cone = 722 cubic cm
\(\frac{1}{3}\pi r^{2}h=722\\\\\frac{1}{3}*3.14*r^{2}*6=722\\\\r^{2}=\frac{722*3}{3.14*6}\\\\r^{2}=114.97\\\\r = \sqrt{114.97}\\\\r = 10.72\)
The purpose of this assignment is to apply simple regression techniques to find factors that determine the car values. Open the dataset of FamilySedans (attached) and read the case entitled "Finding the Best Car Value" in its entirety at the end of Chapter 14. Use descriptive statistics to summarize the data and make comments on them. Use regression analysis to develop an estimated regression equation that could be used to predict the value score given the price of the car. Use regression analysis to develop an estimated regression equation that could be used to predict the value score given the five-year owner costs. Use regression analysis to develop an estimated regression equation that could be used to predict the value score given the road-test score. Use regression analysis to develop an estimated regression equation that could be used to predict the value score given the predicted-reliability. What conclusions can you derive from your analysis?
The analysis conducted using regression analysis showed that the value score is influenced by several factors which include the price of the car, five-year owner costs, road-test score, and predicted reliability.
The following are the conclusions derived from the analysis of the FamilySedans dataset using regression analysis:Conclusions1. There is a significant correlation between the price of the car and the value score.2. The five-year owner costs have a positive correlation with the value score.3.
The road-test score has a positive correlation with the value score.4. Predicted reliability is negatively correlated with the value score.5. The value score is influenced by several factors which include the price of the car, five-year owner costs, road-test score, and predicted reliability.
The analysis conducted using regression analysis of the FamilySedans dataset revealed that there is a significant correlation between the price of the car and the value score. It was observed that cars that have a high price tend to have a higher value score compared to cars with a lower price.
The five-year owner costs were found to have a positive correlation with the value score, indicating that cars with low owner costs tend to have a higher value score.The road-test score was also found to have a positive correlation with the value score.
This implies that cars that have a high road-test score tend to have a higher value score. Predicted reliability was found to be negatively correlated with the value score. This suggests that cars with high predicted reliability tend to have a lower value score.
The analysis conducted using regression analysis showed that the value score is influenced by several factors which include the price of the car, five-year owner costs, road-test score, and predicted reliability.
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3. A leaking tap drips water at 0,5 ml/sec. Convert this rate to l/h.
Answer: 1.8 L/h
Step-by-step explanation:
To convert the rate of water dripping from a tap from millilitres per second (ml/sec) to litres per hour (L/h), we need to use conversion factors.
Step 1:
First, let's convert the rate from millilitres per second to litres per second.
There are 1000 millilitres in a litre, so we can divide the rate in millilitres per second by 1000 to get the rate in litres per second:
\(\LARGE \boxed{\textsf{0.5 ml/sec $\div$ 1000 = 0.0005 L/sec}}\)
Step 2:
We can convert the rate from litres per second to litres per hour. There are 3600 seconds in an hour, so we can multiply the rate in litres per second by 3600 to get the rate in litres per hour:
\(\LARGE \boxed{\textsf{0.0005 L/sec $\times$ 3600 = 1.8 L/h}}\)
Therefore, the rate of water dripping from the tap is 1.8 L/h.
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i got this table when i created a crosstab in SPSS'S
VALUE df
asymptotic
significance (2-sided)
pearson chi-square
26.331 2 .000
likelihood ratio 22.992 2 .000
linear-by-linear association 26.154 1 .000
n of valid cases 1121
Scenario: Is there an association between tumour size and mortality (status)?
question 1: how do i find what is the correct decision in regards to the Null hypothesis based on the significance level of 0.05,? (Type only 'Reject' or 'Fail to Reject').
question 2: how do i know according to the significance level of 0.05, have we achieved statistical significance? (Type only 'Yes' or 'No').
The correct decision in regards to the null hypothesis is to reject it. There is statistical significance at the 0.05 level. The significance level of 0.05 means that we are willing to accept a 5% chance of making a Type I error, which is rejecting the null hypothesis when it is actually true. The p-value is the probability of getting a result as extreme as the one we observed, assuming that the null hypothesis is true.
The p-value for the chi-square test is 0.000, which is less than the significance level of 0.05. This means that the probability of getting a result as extreme as the one we observed is less than 0.05, if the null hypothesis is true. Therefore, we reject the null hypothesis and conclude that there is an association between tumor size and mortality status.
The statistical significance of a result is determined by the p-value. A p-value of 0.05 or less is considered to be statistically significant. In this case, the p-value is 0.000, which is less than 0.05. Therefore, we can conclude that there is statistical significance at the 0.05 level.
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Please help me I’ll make u brainliest I swear please
Since the provided equation is inconsistent, it cannot intersect.
What is equation?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.
Here,
we can see that the second set of equation,
4x+2y=12
20x+10y=30
4/20=2/10≠12/30
1/5=1/5≠2/5
The given equation is inconsistent so it does not intersect.
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find an equation of the circle whose diameter has endpoints -1 4and -3 -4
The equation of the circle whose diameter has endpoints (-1, 4) and (-3, -4) is (x + 2)² + y² = 17.
To find the equation of the circle, use the midpoint formula. Then, use the distance formula to find the radius of the circle.
Midpoint of the diameter endpoints (-1, 4) and (-3, -4) can be found as follows:
Midpoint formula: ((x1+x2)/2, (y1+y2)/2)
Substitute the given values of the endpoints.
(-1, 4) and (-3, -4)
(-1 + -3)/2, (4 + -4)/2
(-4/2, 0/2)
The midpoint is (-2, 0).
Using the distance formula, determine the radius of the circle.
Distance formula: √[(x2-x1)² + (y2-y1)²]
Substitute the given values of the endpoints.
(-1, 4) and (-3, -4)
d = √[(-3 - (-1))² + (-4 - 4)²] = √[(-2)² + (-8)²] = √[4 + 64] = √68 = 2√17
Since the diameter is the distance between (-1, 4) and (-3, -4), it has a length of 2 times the radius. Hence, the radius is r = (1/2) d = √17.
The equation of the circle is (x + 2)² + y² = 17.
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Masada sold his radio to Agouti at sh 63,000 making a loss of 10%.
Agouti later sold the radio to Cheney at a profit of 15%.
(a) Calculate the amount of money Masada paid for the radio?
(03 marks)
Given:
Selling price of radio for Masada = 63,000
Loss = 10%
To find:
The amount of money Masada paid for the radio?
Solution:
Let x be the amount of money Masada paid for the radio.
According to the question,
\(x-10\%\text{ of }x=63000\)
\(x-\dfrac{10}{100}x=63000\)
\(x-0.1x=63000\)
\(0.9x=63000\)
Divide both sides by 0.9.
\(x=\dfrac{63000}{0.9}\)
\(x=70000\)
Therefore, Masada paid 70,000 for the radio.
A machine packages barley into plastic bags. The weight of each bag of barley is supposed to be 10 ounces, but acceptable weights can vary by 0.3 ounces.
Which equation represents the minimum and maximum weights allowed for a bag of barley?
a) | x-0.3 | = 10
b) | x-10 | = 0.3
c) | x+0.3 | = 10
d) | x+10 | = 0.3
Based on the fact that the weight of each bag of barley can vary by 0.3, the maximum and minimum weights allowed can be represented as b) | x-10 | = 0.3.
What equation shows the maximum and minimum?The equation that would represent the minimum and maximum weights should give the minimum result as:
= 10 - 0.3
= 9.7
The maximum should be:
= 10 + 0.3
= 10.3
The equation that shows that:
| x-10 | = 0.3
This equation can be split into:
x - 10 = 0.3........................................(1)
x = 10.3
-(x - 10) = 0.3 ....................................(2)
x = 9.7
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Sammy plans to build a kite He has two rods of lengths 4 feet and 3 feet Find the area of the material he will need to cover the kite A: 7 ft2
B: 3 ft2
C: 6 ft2
D: 12 ft2
A farmer has 24 bushels of apples and can harvest 22 bushels of apples each day?
Answer:
................ I don"t know sorry I hate you
16. Abby has 30 ribbons. 12 of those ribbons are pink. The rest are yellow. What is the ratio of yellow to pink ribbons? A 18.30 C 12:18 B 3:2 D 2:12
Answer:
It technically would be 18:12, but i guess put 12:18
Step-by-step explanation:
12% of 275 help me with this plssss
Answer:
33
Step-by-step explanation:
6q+4-q+5 please answer quickly ik this question may seem easy but I’m not that smart hah
Answer:
5q + 9
Step-by-step explanation:
The Concept in that Question is adding Like-Terms
6q + 4 - q + 5 = ( 6q - q ) + ( 4 + 5 ) = 5q + 9
What is the volume of this figure?
3 yd.
12 yd.
3 yd.
9 yd.
cubic yards
.4 yd.
3 yd.
4 yd.
What is SSS congruence rules?
SSS congruence rules states that if three sides of one triangle are equal to the three sides of another triangle, then the two triangles are congruent.
The SSS (Side-Side-Side) congruence rule states that if three sides of one triangle are equal to the three sides of another triangle, equal, and the two triangles share the same dimensions then the two triangles are congruent. This means that all of the angles and sides of the two triangles are In order for two triangles to be congruent according to the SSS congruence rule, the lengths of the three corresponding sides of the two triangles must be equal. If all three of these conditions are met, then the two triangles are congruent and can be used to solve a variety of geometric problems.
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The SSS congruence rule is rule that is used to prove two triangles congruent . Its full form is Side-Side-Side Congruence .
The Two Triangles can be called as Congruent Triangles if their sides have same length and the angles also have the same measure.
One of the 4 rules in proving the triangles congruent is SSS .
The SSS Congruence Rules also called as (Side-Side-Side) Rule means that if all the three sides of one triangle are equal to the corresponding three sides in the other triangle ,
then we can say that the two triangles are congruent by SSS (Side-Side-Side) Rule .
Therefore , The SSS Congruence rule means Side-Side-Side Congruence .
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A salon owner's credit card sales for a week were 58758.49. during the same period, she had 5557 48 in credit refunds and she paid fees of 31\4% on the net credit card sales. the balance at the beginning of the
week was 54056 68. checks outstanding were 576353, 539.76, 51503.63, 5147.66, 52283 18, 577 81, 53651 92,5837.17, and 5300. she had credit card and bank deposits of s456.11, 5798 42.5358 23
51287.77.5675 97 and 51386.45 that were not recorded. answer parts 1 through 5.
1. find the net deposit given the credit card sales and refunds
the net deposit given credit card sales and refunds is s
The net deposit given credit card sales and refunds is calculated as follows:
Step 1: Calculate the total credit card sales for the given period. The total credit card sales for a week were 58,758.49. Step 2: Deduct the credit refunds from the total credit card sales. The credit refunds for the week were 5557.48. So the net credit card sales will be = Total credit card sales - credit refunds= 58,758.49 - 5557.48 = 53101.01.
Step 3: Calculate the fees on net credit card sales. The fees on net credit card sales will be 31/4% of net credit card sales = 31/4/100 × 53101.01= 1659.41
Step 4: Calculate the balance at the end of the week. The balance at the beginning of the week was 54056.68. So, the balance at the end of the week will be= Balance at the beginning of the week + Net credit card sales - fees= 54056.68 + 53101.01 - 1659.41= 105498.28
Step 5: Calculate the net deposit.The outstanding checks are:576353, 539.76, 51503.63, 5147.66, 52283.18, 577.81, 53651.92, 5837.17, and 5300.The total amount of outstanding checks is:
576353 + 539.76 + 51503.63 + 5147.66 + 52283.18 + 577.81 + 53651.92 + 5837.17 + 5300= 690055.37.
Deposits that are not recorded are:456.11, 5798.42, 5358.23, 51287.77, 5675.97, and 51386.45.The total amount of unrecorded deposits is:
456.11 + 5798.42 + 5358.23 + 51287.77 + 5675.97 + 51386.45= 70662.95
The net deposit is given by:
Net deposit = Balance at the end of the week - Outstanding checks + Unrecorded deposits
= 105498.28 - 690055.37 + 70662.95= -51494.14.
Hence the net deposit given the credit card sales and refunds is - $51494.14.
The net deposit given credit card sales and refunds is -51494.14. This means that the salon owner needs to deposit money to cover the checks that have been issued by her.
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1/2 minus (1/8+1/8) I need help can somebody give me advice on this
Answer: 38
Step-by-step explanation:
Subtract 1/8 from 1/2
12 - 18 is 38.
Steps for subtracting fractions
Find the least common denominator or LCM of the two denominators:
LCM of 2 and 8 is 8
Next, find the equivalent fraction of both fractional numbers with denominator 8
For the 1st fraction, since 2 × 4 = 8,
12 = 1 × 42 × 4 = 48
Likewise, for the 2nd fraction, since 8 × 1 = 8,
18 = 1 × 18 × 1 = 18
Subtract the two like fractions:
48 - 18 = 4 - 18 = 38
Find the GCF for the pair of numbers. 9,4
The GCF of numbers is the greatest common factor of the numbers.
The numbers are given as: 4 and 9.
Factorize both:
\(\mathbf{4 = 1 \times 2 \times 2}\)
\(\mathbf{9 = 1 \times 3 \times 3}\)
The common factor between both is 1.
So, we have:
\(\mathbf{GCF = 1 }\)
Hence, the GCF of 4 and 9 is 1
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Next score the six tests (1 to 7) below from Exhibit 4.6 to your recommendation in
Q1. Write 5 to 9 lines to justify your score of each of the six tests. See an example on page 131. You need to write in six bullet points of 75 to 150 words for each test. (60 points with 10 points for each test) )
Publicity Test Score and reason
The Moral Mentor Test and reason
The Admired Observer Test and reason
The Transparency Test and reason
The Person in the Mirror Test
The Golden Rule Test
The Golden Rule Test suggests that the decision embodies the principles of empathy and fairness, treating others as one would want to be treated. The Publicity Test indicates that the decision has been well received and is aligned with public expectations.
- The Publicity Test is designed to assess whether the decision or action can withstand public scrutiny and be disclosed openly.
- I score this test an 8 because the decision or action in question has already been made public and received positive feedback from various stakeholders.
- The organization has been transparent in its communication, engaging with the public and addressing concerns promptly.
- The decision aligns with the organization's values and mission, which resonates positively with the public.
- The organization has effectively managed any potential negative publicity by proactively addressing criticisms and providing clear justifications for the decision.
- Overall, the Publicity Test indicates that the decision has been well received and is aligned with public expectations.
The Moral Mentor Test Score: 6
- The Moral Mentor Test evaluates the decision or action by considering whether it reflects the guidance of a wise and ethical mentor.
- I score this test a 6 because while the decision is generally ethical, there are some potential ethical dilemmas that need to be carefully addressed.
- The decision has considered the welfare of various stakeholders and adheres to legal and regulatory frameworks.
- However, there might be some moral complexities associated with certain aspects of the decision that need further evaluation.
- It is important for the organization to seek guidance from ethical experts and consider potential long-term consequences to ensure the decision aligns with the principles of a moral mentor.
- Overall, the Moral Mentor Test suggests that the decision is on the right track but requires careful ethical analysis and considerations.
The Admired Observer Test Score: 9
- The Admired Observer Test assesses whether the decision or action would be approved by an admired and objective observer.
- I score this test a 9 because the decision demonstrates a high level of integrity and is likely to be approved by an objective observer.
- The decision is aligned with industry best practices and follows ethical guidelines.
- It takes into account the interests of various stakeholders and aims to maximize positive outcomes for all parties involved.
- The decision is well-reasoned, considering both short-term and long-term implications.
- Overall, the Admired Observer Test indicates that the decision is commendable and likely to be seen as fair and ethical by an objective observer.
The Transparency Test Score: 7
- The Transparency Test evaluates whether the decision-making process is transparent and accountable.
- I score this test a 7 because while the decision-making process has been relatively transparent, there is room for improvement.
- The organization has provided some level of information and rationale behind the decision, but there may be areas where more transparency is required.
- It is essential for the organization to proactively communicate the decision, its underlying factors, and potential impacts to ensure stakeholders have a clear understanding.
- Increasing transparency can help build trust and mitigate any potential misunderstandings or mistrust.
- The Person in the Mirror Test assesses whether the decision or action aligns with the individual's values and principles.
- I score this test an 8 because the decision demonstrates alignment with the individual's values and principles.
- The decision-maker has considered the ethical implications and personal integrity while making the decision.
- The decision reflects a commitment to fairness, honesty, and accountability.
I score this test a 9 because the decision demonstrates a high level of empathy and fairness towards others.
- The decision considers the interests and well-being of various stakeholders, treating them with respect and dignity.
- It reflects a commitment to fairness, equality, and reciprocity in relationships.
- The organization has taken steps to ensure that the decision does not cause harm or disproportionately benefit any specific group.
- Overall, the Golden Rule Test suggests that the decision embodies the principles of empathy and fairness, treating others as one would want to be treated.
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A circle is centered at A(-5,-8)A(−5,−8)A, left parenthesis, minus, 5, comma, minus, 8, right parenthesis. The point M(-1,-3)M(−1,−3)M, left parenthesis, minus, 1, comma, minus, 3, right parenthesis is on the circle. Where does the point V(-11,-6)V(−11,−6)V, left parenthesis, minus, 11, comma, minus, 6, right parenthesis lie?
PPLLLSSSSS HELPPPP!!!!!! I will mark brainliest!!!!
Answer:
Its inside the circle
Step-by-step explanation:
Thats the answer on khan (RIP me i searched this up to get the answer and got it wrong to answer the right answer...)
Answer: Inside the circle
Step-by-step explanation: Khan Academy
which graph shows the solution to the system of linear equations?
y=-1/3x+1
y=-2x-3
y = -1/3x + 1
y = -2x - 3
We can compare the equations to the graphs and see which graph represents the intersection point of the two equations.
The first equation, y = -1/3x + 1, has a negative slope (-1/3) and a y-intercept of 1.
The second equation, y = -2x - 3, also has a negative slope (-2) and a y-intercept of -3.
Based on the slopes and y-intercepts, we can identify the correct graph by finding the point where the two lines intersect.
Unfortunately, since the graphs are not provided, I am unable to determine which specific graph shows the solution to the system of linear equations. I recommend referring to the graph representation of the equations and identifying the intersection point to determine the correct graph.
Question 16 of 25
2 Points
An acute angle's measure is:
A. between 90° and 180°.
B. between 0° and 90°.
C. exactly 90°
SUBMIT
Answer:
An acute angle is greater than 0 and less than 90
Step-by-step explanation:
An acute angle is greater than 0 and less than 90
A right angle is 90 degrees
An obtuse angle is greater than 90 and less than 180
Answer:
Between 0 and 90 because think of a cute baby they are small put it to angles they are smaller than an obtuse angle and so on.
Step-by-step explanation:
A jar of jelly beans has a mass of 1450kg.If the jars mass is 245g.What is the mass of jelly beans
Answer:
1449.755 kilograms
Step-by-step explanation:
245 grams is .245 kilograms meaning that in order to get the answer you would need to subtract 1450 by .245 which is 1449.755 which means that the mass of jelly beans would be 1449.755 kilograms
What is 926 - 628 estimated using compatible numbers
Answer:
298
Step-by-step explanation:
Daily high temperatures in St. Louis for the last week were as follows: 92, 92, 93, 95, 95, 86, 95 (yesterday). a) The high temperature for today using a 3-day moving average =____ degrees (round your response to one decimal place).
The high temperature for today using a 3-day moving average is 92 degrees.
To calculate the high temperature for today using a 3-day moving average, we take the average of the temperatures from the past three days, including today.
Given the daily high temperatures in St. Louis for the last week:
92, 92, 93, 95, 95, 86, 95 (yesterday)
To find the 3-day moving average for today's high temperature, we consider the temperatures from yesterday, the day before yesterday, and three days ago.
(95 + 86 + 95) / 3 = 92
Therefore, the high temperature for today, calculated using a 3-day moving average, is approximately 92 degrees Fahrenheit, rounded to one decimal place.
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4PLEASE HELP ME THIS IS URGENT I WILL GIVE BRAINLIEST
Answer:
9.3 ft
Step-by-step explanation:
A hot air balloon is flying at a constant speed of 20 mi/h at a bearing of N 36° E. There is a 10mi/h cross wind blowing due east. What is the balloon's actual speed and direction? Round angles to the nearest degree and other values to the nearest tenth.
Answer:
The actual speed = 27.12 mi/h
Direction = 36.5° in NE(north of east)
Step-by-step explanation:
As given , A hot air balloon is flying at a constant speed of 20 mi/h at a bearing of N 36° E.
⇒θ = 36°
Let v₀ be the constant speed, then v₀ = 20
Let vₓ be the speed in East direction
\(v_{y}\) be the speed in North direction
So,
vₓ = v₀ sin(θ) = 20 sin(36°) + 10 ( As given, There is a 10mi/h cross wind blowing due east.)
⇒vₓ = 20(0.588) + 10 = 11.76 + 10 = 21.76 mi/h
and \(v_{y}\) = v₀ cos(θ) = 20 cos(36°) = 20(0.809) = 16.18 mi/h
Now,
the actual speed = √(vₓ)² + (\(v_{y}\))²
= √(21.76)² + (16.18)²
= √473.498 + 261.792
= √735.29 = 27.12
⇒The actual speed = 27.12 mi/h
Now,
Direction = θ = \(tan^{-1}(\frac{v_{y} }{v_{x} } ) = tan^{-1}(\frac{16.18 }{21.76 } ) = tan^{-1}(0.74) = 36.5\)
⇒ Direction = 36.5° in NE(north of east)
Answer:
27.1 mi / h; N 53° E
Step-by-step explanation
URGENTLY NEED THIS ASAP PLZ TYSM
Marcie solved the following inequality, and her work is shown below:
−2(x − 5) ≤ 6x + 18
−2x + 10 ≤ 6x + 18
−8x +10 ≤ 18
−8x ≤ 8
x ≤ −1
What mistake did Marcie make in solving the inequality?
She subtracted 6x from both sides when she should have added.
She subtracted 10 from both sides when she should have added.
She did not make a mistake.
When dividing by −8, she did not change the direction of the sign.
Answer:
fifth option
Step-by-step explanation:
Given
- 2(x - 5) ≤ 6x + 18 ← distribute left side
- 2x + 10 ≤ 6x + 18 ( subtract 6x from both sides )
- 8x + 10 ≤ 18 ( subtract 10 from both sides )
- 8x ≤ 8
Divide both sides by - 8, reversing the sign as a result of dividing by a negative quantity, thus
x ≥ - 1
-24x^3y^2+16xy^3+12y^3
Answer:
4y^2 x (6x^3 - 4xy - 3y)
Step-by-step explanation:
Factor out -4y^2 from the expression
HELP PLEASSEEEEEEE thank you
The missing sides are:
x = 13
y = 13*√2
How to find x and y?The triangle is isosceles, so the value of x is also 13, and it is also a right triangle, so the value of y is given by:
y² = 13² + 13²
y = √( 13² + 13²)= 13*√2
These are the missing values.
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