Answer:
3.70 The difference is 33.30
Step-by-step explanation:
An angle measures 48° more than the measure of its complementary angle. What is the
measure of each angle?
Answer:
The angles measure 21 degrees and 69 degrees.
Step-by-step explanation:
Complementary angles have a sum of 90 degrees when added together.
Let's call the complementary angle x. We can write the angle that we're looking for as in terms of x as x + 48.
Since these angles must sum to 90 we can write the equation and solve:
x + x + 48 = 90
2x + 48 = 90
2x + 48 - 48 = 90 - 48
2x = 42
x = 21
x + 48 = 69
21 degrees and 69 degrees.
Answer:
69° and 21° is the answer.
Question 2 of 20:
Select the best answer for the question.
2. What is the result if you divide
A. 6r²s4t³
B. 6r²s53
C.-6r²s4+3
D. -6r²51³
18r4s³t6
-3r² st³
?
Mark for review (Will be highlighted on the review page)
If you divide \(\frac{18r^4s^5t^6}{-3r^2st^3}\), the result include the following: C. -6r²s⁴t³.
What is a quotient?In Mathematics and Geometry, a quotient is a mathematical expression that is simply used to represent the division of a number (numerator) by another number (denominator).
Based on the information provided above, we can logically deduce the following mathematical expression;
\(\frac{18r^4s^5t^6}{-3r^2st^3}\)
By simplifying or dividing in parts while using the law of indices for division, we have the following:
18r⁴/-3r² = -6r⁴⁻² = -6r²
s⁵/s = s⁵⁻¹ = s⁴
t⁶/t³ = t⁶⁻³ = t³
Lastly, we would combine the output values or results above;
\(\frac{18r^4s^5t^6}{-3r^2st^3}\) = -6r²s⁴t³.
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Complete Question:
What is the result if you divide \(\frac{18r^4s^5t^6}{-3r^2st^3}\)?
A. 6r²s⁴t³
B. 6r²s⁵t³
C. -6r²s⁴t³
D. -6r²s⁵t³
How to convert us dollar to thai baht?
Convert USD to THB, multiply amount of USD by the current exchange rate between USD and THB, which can be found on financial news or currency exchange websites, to get the equivalent amount in THB.
To convert US dollars (USD) to Thai baht (THB), you need to use the current exchange rate between the two currencies. Here are the steps to convert USD to THB:
Find the current exchange rate between USD and THB. This information can be found on financial news websites, currency exchange websites, or by contacting a bank or currency exchange service.
Multiply the amount of US dollars you want to convert by the current exchange rate to get the equivalent amount in Thai baht. For example, if the current exchange rate is 1 USD = 31.50 THB and you want to convert 100 USD to THB, the calculation would be:
100 USD x 31.50 THB/USD = 3,150 THB
Therefore, 100 USD is equal to 3,150 THB.
Note: The exchange rate between USD and THB can fluctuate over time, so make sure to use the current exchange rate for the most accurate conversion.
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Im having trouble with these and ive been staring at my screen for over an hour- I just need to know the answer-
Answer:
(-3, 4)
It doesn't show any coordinates so I assume that the origin is where the x and y axes intercept
Which of the following statements is not true of deductive reasoning?
OIt is used when you solve an equation in algebra.
OIt is used to make broad generalizations using specific observations
OIt is used to prove basic theorems.
OIt is used to prove that statements are true.
I found the answer on Quizlet. Not fully sure if it is correct.
:)
It is either a proton or a neutron . B
What is mass number?The mass number, also called atomic mass number or nucleon number, is the total number of protons and neutrons in an atomic nucleus. It is approximately equal to the atomic mass of the atom expressed in atomic mass units.
here, we have,
we have to identify the particle
The particle labeled with an X is a neutral atom or a proton which is symbolically represented as :
AZX
where,
Z = atomic number of the element and is known as the number of protons and number of electron (in the particle)
A = Mass number of the element which is represented as the sum of the protons and neutrons (in the nucleus)
Thus, the statement that best identifies the particle X is that it is either a proton or a neutron
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Complete question:
Which of these statements best identifies the particle that is labeled with an X?
OIt is either a nucleus or a proton.
OIt is either a proton or a neutron.
OIt is either a neutron or an electron.
OIt is either an electron or a nucleus.
Willow Brook National Bank operates a drive-up teller window that allows customers tocomplete bank transactions without getting out of their cars. On weekday mornings,arrivals to the drive-up teller window occur at random, with an arrival rate of 24 customersper hour or 0.4 customer per minute.a. What is the mean or expected number of customers that will arrive in a ?ve-minuteperiod?b. Assume that the Poisson probability distribution can be used to describe the arrivalprocess. Use the arrival rate in part (a) and compute the probabilities that exactly 0, 1,2, and 3 customers will arrive during a ?ve-minute period.c. Delays are expected if more than three customers arrive during any ?ve-minuteperiod. What is the probability that delays will occur?
If 0.4 Customers arrives after 1 minute-
0.4*5 = 2.0 cm
What do you mean by Willow Brook National Bank ?From 1947 to 1987, Willowbrook State School served Staten Island's Willowbrook neighborhood as a state-funded facility for youngsters with intellectual disabilities. The school had 6,000 students enrolled by 1965 despite being intended for 4,000.
Aerts entered through the doors of Willowbrook State School in 1971 with former Staten Island Advance writer Jane Kurtin, and took disturbing photos of children and adults with special problems who were confined in cages, hungry, and used as research experiments.
Geraldo Rivera, who was working as an investigative reporter for WABC-TV in New York at the time, began an investigation into Willowbrook soon after and found a number of appalling circumstances there, including overcrowding and subpar sanitary facilities.
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Which of the following functions (there may be more than one) are solutions of the differential equation y' 4y' + 4y = et ? y = e%t + et Iy = et y = e2t + tet y = te2t +et y = e2t
Thus, the answer is y = e2t which is the solution of the given differential equation.
The given differential equation is, y' + 4y' + 4y = et .....(1)
To solve this differential equation, we will write the equation in the standard form of differential equation which is y' + p(t)y = f(t)Where p(t) and f(t) are functions of t.
We can see that p(t) = 4 and f(t) = etLet's find the integrating factor which is given by I.
F. = e∫p(t)dtI.
F. = e∫4dtI.
F. = e4t
So, we multiply both sides of the equation (1) by the I.F.
I.F. × y' + I.F. × 4y' + I.F. × 4y = I.F. × et(e4t)y' + 4(e4t)y = e4t × et(e4t)y' + 4(e4t)y
= e5t
So, the differential equation is reduced to this form which is y' + 4y = e(t+4t)
Using the integrating factor, e4t, we get(e4t)y' + 4(e4t)y = e4te5tNow, we integrate both sides with respect to t to get the general solutiony = (1/4) e(-4t) ∫ e(4t+5t) dty
= (1/4) e(-4t) ∫ e9t dty
= (1/4) e(-4t) (1/9) e9ty
= (1/36) ey
As we have obtained the general solution of the differential equation, now we can substitute the given functions into the general solution to check which of the given functions are solutions of the differential equation.
Functions y = e%t + et,
y = e2t + tet, and
y = te2t +et are not solutions of the given differential equation but the function y = e2t is the solution of the given differential equation because it satisfies the differential equation (1).
Therefore, the only function which is a solution of the differential equation y' + 4y' + 4y = et is y = e2t which is verified after substituting it into the general solution of the differential equation.
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from a group of six people, two individuals are to be selected at random. how many selections are possible? group of answer choices 12 36 15 8
There are a total of six people in the group. To select two individuals at random, we can use the formula for combinations, which is nCr = n!/r!(n-r)!, where n is the total number of individuals in the group and r is the number of individuals to be selected. Therefore, the number of selections possible is:
6C2 = 6!/(2!(6-2)!) = 15
The formula for combinations is used to calculate the number of ways we can select r individuals from a total of n individuals. This formula is nCr = n!/r!(n-r)!. In this case, n is 6 (the total number of individuals in the group) and r is 2 (the number of individuals to be selected). Therefore, we substitute n=6 and r=2 into the formula to obtain the number of selections possible.
The number of selections possible from a group of six people, where two individuals are to be selected at random, is 15. This is obtained by using the formula for combinations, which is nCr = n!/r!(n-r)!, where n is the total number of individuals in the group and r is the number of individuals to be selected.
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what is the value of 25.761-17.49
Answer - 25.761-17.49=?
Then,
the answer is 8.271
How is 80.106 written in expanded form?
A. (8×10)+(1×110)+(6×1100)
B. (8×10)+(1×110)+(6×11,000)
C. (8×10)+(1×1100)+(6×11,000)
D. (8×10)+(1×1100)+(6×110,000)
J.D. Power and Associates surveys new automobile owners to learn about the quality of recently purchased vehicles. The following questions were asked in the J.D. Power Initial Quality Survey, May 2012.a. Did you purchase or lease the vehicle?b. What price did you pay?c. What is the overall attractiveness of your vehicle’s exterior? (Unacceptable, Average, Outstanding, or Truly Exceptional)d. What is your average miles-per-gallon?
(a) Lease the vehicle is Categorical
(b) Price pay Quantitative
(c) The overall attractiveness of your vehicle's exterior is Categorical
(d) Average miles-per-gallon is Quantitative
Now, According to the question:
a. Did you purchase or lease the vehicle? CATEGORICAL DATA
b. What price did you pay? QUANTITATIVE DATA
c. What is the overall attractiveness of your vehicle's exterior? (Unacceptable, Average, Outstanding, or Truly Exceptional) CATEGORICAL DATA
d. What is your average miles-per-gallon? QUANTITATIVE DATA
Quantitative data can be measured in numbers, e.g. 20 miles per gallon. While categorical data refers to non-numerical responses, e.g. higher quality, better looks, and is generally obtained by choosing one response from a group of available answers.
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the tub started with gallons of water
Answer:
huh?
Step-by-step explanation:
how is the expression evaluated?! x - 3 > 0a.((!x) - 3) > 0b.(!(x - 3) > 0c.(!x) - (3 > 0)d.!((x - 3) > 0)
The expression to be evaluated is x - 3 > 0, and there are four different expressions given as answer choices. The goal is to determine which expression, if any, is equivalent to the original expression.
To evaluate the original expression, we first need to isolate the variable x. Adding 3 to both sides of the inequality gives us x > 3. This means that any value of x greater than 3 will satisfy the inequality.
Now let's examine each of the answer choices to see if any of them are equivalent to x > 3.
a. ((!x) - 3) > 0: This expression involves the logical operator "not," which will give the opposite truth value of the statement it is applied to. However, the expression inside the parentheses is just x, so applying the "not" operator doesn't change anything. Therefore, this expression is not equivalent to the original expression.
b. (!(x - 3) > 0): This expression also involves the "not" operator, but it is applied to the entire expression (x - 3) > 0. In other words, it is checking if the inequality is not true. If we simplify the inequality as we did before, we get x > 3. The negation of this inequality is x <= 3. Therefore, expression b is equivalent to x <= 3.
c. ((!x) - (3 > 0)): This expression involves both the "not" operator and a comparison using the greater than symbol. Again, applying the "not" operator to x just gives us !x. The expression (3 > 0) is always true, so subtracting it from !x doesn't change anything. Therefore, this expression is equivalent to !x.
d. !((x - 3) > 0): This expression is the negation of the inequality (x - 3) > 0. If we simplify this inequality as before, we get x > 3. The negation of this inequality is x <= 3, which is the same as the answer we got in expression b. Therefore, expression d is equivalent to x <= 3.
In summary, expressions b and d are equivalent to the original expression x - 3 > 0, and both indicate that x must be greater than 3. Expressions a and c are not equivalent to the original expression.
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7 times 10 four square in standard notation
The standard notation of the given term is 70,000.
What is standard notation?A form of writing a certain number, an equation, or an expression in a way that adheres to set norms is known as a standard notation.
Given a phrase
7 times 10 four square
so 10 four square is 10 to the power 4
10 four square = 10⁴
and 7 times 10⁴ = 7 x 10⁴
the standard form of 7 x 10⁴ is
10⁴ = 10,000
7 x 10⁴ = 7 x 10,000
7 x 10⁴ = 70,000
Hence standard form is 70,000.
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The line produced by the equation Y=4X−5 crosses the vertical axis at Y=5 .a. True.b. False.
false. The vertical axis is the y-axis, which is where x=0. In this equation, when x=0, we have: y=4(0)-5
y=-5
Therefore, the line produced by the equation Y=4X−5 crosses the vertical axis at y=-5, not y=5.
To further understand this concept, we can visualize the equation on a graph. When we plot the points (0,-5) and (1,-1) (which is found by substituting x=1 into the equation), we can draw a line that passes through both points. This line is the graph of the equation Y=4X−5. We can see that the line crosses the vertical axis (y-axis) at y=-5, which confirms that the answer is false.
In summary, the equation Y=4X−5 crosses the vertical axis (y-axis) at y=-5, not y=5.
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The volume of the Great Pyramid in Egypt is approximately 33,764 cubic meters. What is the volume, to the nearest tenth, of a scale model that is smaller by a scale factor of 1/12 ? need help with this question
Check the picture below.
\(\cfrac{1^3}{12^3}~~ = ~~\cfrac{V}{33764}\implies \cfrac{1}{1728}~~ = ~~\cfrac{V}{33764}\implies \cfrac{(1)(33764)}{1728}=V\implies \boxed{\stackrel{ cm^3 }{19.54}\approx V}\)
HELP PLZ I’m struggling with this
Answer:
270 per year so 6 years is 1620 and add that with 6000=7620
A line has a slope of 35 and passes through the point (5,10). Give another point that is found on the same line with integer coordinates. Explain how you found the new coordinate.
the point (6, 45) lies on the line with slope 35 passing through (5, 10).
To find another point with integer coordinates, we need to apply the slope-intercept form of a line and use the given point (5, 10). Slope-intercept form is given by: y = mx + b, where m is the slope and b is the y-intercept.Using the given information, the equation of the line can be written as:y = 35x + bWe can use the point (5,10) to find the value of b. Substituting the point coordinates in the equation:10 = 35(5) + bSimplifying:10 = 175 + b ⇒ b = -165.
Therefore, the equation of the line is:y = 35x - 165To find another point on this line, we can substitute a value of x in this equation and find the corresponding value of y. Let's take x = 6:y = 35(6) - 165 = 45So, the coordinates of another point on the line with integer coordinates are (6, 45). We can verify that this point lies on the line by substituting its coordinates in the equation:45 = 35(6) - 165 45 = 45Therefore, the point (6, 45) lies on the line with slope 35 passing through (5, 10).
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Simone examined the pattern in the table.
Powers of 10
Value
10 Superscript 1
10
10 Superscript 0
1
10 Superscript negative 1
StartFraction 1 Over 10 EndFraction
10 Superscript negative 2
StartFraction 1 Over 100 EndFraction
10 Superscript negative 3
StartFraction 1 Over 1000 EndFraction
10 Superscript negative 4
StartFraction 1 Over 10,000 EndFraction
Based on the pattern, which power of 10 would have a value of StartFraction 1 Over 1,000,000 EndFraction?
10 Superscript negative 6
10 Superscript negative 5
10 Superscript 5
10 Superscript 6
Answer:
C. 10 Superscript 5
Step-by-step explanation:
Answer:
10 scripture 5
Step-by-step explanation:
Solve the equation. 2 + |t + 6| = 12
Question 10 options:
[4, -11]
[4, 11]
[-16, 4]
[-4, 16]
Answer:
c) [-16, 4]
Step-by-step explanation:
Given equation,
→ 2 + |t + 6| = 12
Now the value of t will be,
→ 2 + |t + 6| = 12
→ 2 + t + 6 = 12 || → 2 -(t + 6) = 12
→ t + 8 = 12 || → -t - 4 = 12
→ t = 12 - 8 || → -t = 12 + 4
→ [ t = 4 ] || → [ t = -16 ]
Hence, value of t is 4 (or) -16.
[2(x + 10)1° What is the value of x? (3x - 30) Enter your answer in the box x=
Answer:50
Vertical Angle Relationships Quiz answers are
∠A and ∠B are vertical angles with m∠A=x and m∠B=5x−80.
What is m∠A?
Enter your answer in the box.=20
∠C and ∠D are vertical angles with m∠C=−3x+58 and m∠D=x−2.
What is m∠D? =13
∠E and ∠F are vertical angles with m∠E=5x+10 and m∠F=7x−12.
What is the value of x?
=11
What is m∠KNL? (5x+2) and [3(x+14)]=102
Step-by-step explanation: I took test and I got 100% if your looking for more answers here ya go. Hope this helps :D
1. Determine whether the alternating series is absolutely convergent or divergent. 2pts 8 32 Σ(-1) n+1 (4-1) 2+3n TL=1
2. Determine whether the series converges or diverges. 22pts √k √k+1 a) and t) Σ 2+1 √³+1 A=2 3pts ad interval of convergence of the power series..
It appears to involve Laplace transforms and initial-value problems, but the equations and initial conditions are not properly formatted.
To solve initial-value problems using Laplace transforms, you typically need well-defined equations and initial conditions. Please provide the complete and properly formatted equations and initial conditions so that I can assist you further.
Inverting the Laplace transform: Using the table of Laplace transforms or partial fraction decomposition, we can find the inverse Laplace transform of Y(s) to obtain the solution y(t).
Please note that due to the complexity of the equation you provided, the solution process may differ. It is crucial to have the complete and accurately formatted equation and initial conditions to provide a precise solution.
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write a fraction to show the value of each 9 in the decimal 0.999. how is the value of the 9 on the left related to the value of the 9 on the right? how is the value of the 9 on the rigth related to the value of the 9in the middle?
The fractions to show the value of each 9 in the decima 0.999 are 9/10, 9/100, 9/1000.
How to write decimal number in fractionTo write the fraction that shows the value of each 9 in the decimal 0.999, we can use the following method
The digit 9 in the tenths place represents 9/10 or 0.9.
The digit 9 in the hundredths place represents 9/100 or 0.09.
The digit 9 in the thousandths place represents 9/1000 or 0.009.
Thus, the fractions are
0.9 = 9/10
0.09 = 9/100
0.009 = 9/1000
The value of the 9 on the left is related to the value of the 9 in the middle by a factor of 10.
The value of the 9 on the right is related to the value of the 9 in the middle by a factor of 10, so the 9 on the right is one-tenth the value of the 9 in the middle.
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a student makes a short elctro magnett by winding 380 turns of wire around cylender of simater 4.7 cm the coil is connected to a battery pr
The magnetic dipole moment of the device is 2.5040 Am²
According to the question,
It is given that the number of turns students made a short electro around cylinder : N = 380
The diameter of cylinder : d = 4.7
Radius of cylinder : r = d/2
=> r = 4.7 / 2
=> r = 2.35
Area of cylinder : A = πr²
=> A = 3.14× (2.35)²
=> A = 17.34 cm² => 17.34 × 10⁻⁴ m²
Current in the wire : I = 3.9A
To find the magnetic dipole moment
M = N×I×A
where , N is number of turns
I is current and A is area of cylinder
Therefore, M = 380×3.8 × 17.34 × 10⁻⁴
=> M = 25,040 × 10⁻⁴
Hence , M = 2.5040 Am²
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Triangle ABC.
Angle A is a right angle
Angle B = x +4
Angle C = x
Find the value of x
Please answer this fast!
Answer:
i believe the answer is 46. good luck!
Assume S is a recursively defined set, defined by the following properties: 1∈ S n ∈ S → 2n ∈ S n ∈ S → 3n ∈ S Use structural induction to prove that all members of S are numbers of the form 2ᵃ3ᵇ, with a and b being non-negative integers. Your proof must be concise.
All members of set S can be expressed as numbers of the form 2ᵃ3ᵇ, where a and b are non-negative integers.
We will prove by structural induction that all members of set S can be expressed as numbers of the form 2ᵃ3ᵇ, where a and b are non-negative integers.
Base Case:
We start with the base case, where n = 1. In this case, 1∈ S, and we can see that 1 can be expressed as 2⁰3⁰, which is of the desired form.
Inductive Step:
Now, assume that for some positive integer k, if n = k, then k∈ S can be expressed as 2ᵃ3ᵇ for non-negative integers a and b.
We will show that if n = k + 1, then k + 1 can also be expressed as 2ᵃ3ᵇ for non-negative integers a and b.
Case 1: If n = 2k, then we know that 2k∈ S. By the induction hypothesis, we can express 2k as 2ᵃ3ᵇ for some non-negative integers a and b. Now, we can observe that 2k+1 = 2(2k) = 2ᵃ₊₁3ᵇ, which is still of the desired form.
Case 2: If n = 3k, then we know that 3k∈ S. By the induction hypothesis, we can express 3k as 2ᵃ3ᵇ for some non-negative integers a and b. Now, we can observe that 3k+1 = 3(3k) = 2ᵃ3ᵇ₊₁, which is still of the desired form.
Since we have shown that if n = k + 1, then k + 1 can be expressed as 2ᵃ3ᵇ, the proof by structural induction is complete.
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When factoring x2−10x−24 ,you need two numbers that multiply to equal -24 and add to -10.
Answer:
-12 and 2; it is factored as \((x+2)(x-12)\)
Step-by-step explanation:
Since their product is negative, one is positive and the other is negative.
Moreover, since the sum is negative the greater of the two is negative.
Considering that factors of 24 are 1, 2,4,6, 12, 24 you have the following options:
-24 and 1. Sum gets to -23. Nope.
-12 and 2. Sum is indeed -10. Check!
-6 and 4. Sum is -2. Nope again.
The two numbers are thus -12 and 2. The factorization becomes
\(x^2-10x-24 = (x+2)(x-12)\)
Determine whether the data are discrete or continuous: . Number of phone calls received by a 911 call center each day Systolic blood pressure reading . Votes received by mayoral candidates in a city election Temperatures at a seashore resort
Discrete or continuous data refers to the type of data that a given value can take. Discrete data can only take certain values, while continuous data can take on any value. In this context, we are to determine whether the given data is discrete or continuous.
Number of phone calls received by a 911 call center each day: This type of data is discrete. Discrete data refers to data that is measured in whole units, such as a number of phone calls received per day. The number of phone calls received by a 911 call center each day cannot be measured in fractions or decimals, so it is a discrete variable.
Systolic blood pressure reading: Blood pressure readings such as the systolic blood pressure reading are continuous. Continuous data is data that can be measured in fractions or decimals. Blood pressure readings, for instance, can take any value between 0 and infinity, which means they are continuous variables. Votes received by mayoral candidates in a city election: This type of data is discrete. Discrete data is data that is measured in whole units, such as the number of votes a candidate receives. It is not possible to measure votes in fractions or decimals, so it is a discrete variable.
Temperatures at a seashore resort: The temperature is a continuous variable. Temperatures can take on any value within a certain range and can be measured in fractions or decimals. Therefore, temperatures at a seashore resort are continuous.
In summary, the number of phone calls received by a 911 call center each day and the votes received by mayoral candidates in a city election are discrete data while the systolic blood pressure reading and temperatures at a seashore resort are continuous data.
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3 a Find, in gradient -intercept form, the equation of the line which has gradient -(1)/(3) and passes through (6,2). b Write the equation of the line in the form ax+by+d=0.
a) To find the equation of a line in gradient-intercept form, we use the formula: y = mx + c, where "m" is the gradient and "c" is the y-intercept.
Given that the gradient is -(1/3) and the line passes through the point (6, 2), we can substitute these values into the equation to find the y-intercept.
m = -(1/3)
x = 6
y = 2
Using the formula, we have:
2 = -(1/3)(6) + c
Simplifying the equation:
2 = -2 + c
c = 2 + 2
c = 4
Therefore, the equation of the line in gradient-intercept form is:
y = -(1/3)x + 4
b) To write the equation of the line in the form ax + by + d = 0, we can rearrange the equation in gradient-intercept form.
Starting with the equation:
y = -(1/3)x + 4
Multiply both sides of the equation by 3 to eliminate the fraction:
3y = -x + 12
Rearrange the terms to have all variables on the left side:
x + 3y - 12 = 0
So, the equation of the line in the form ax + by + d = 0 is:
x + 3y - 12 = 0
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x - 4= 7
options-
x + 8=0
x-11=0
x+11=0
x-8=0
Answer:
x+11=0 is answer
Step-by-step explanation:
may be this is helpful!