Snail will have to travel shortest distance of (C) 11 cm
The shortest distance between vertex A and vertex B will be the line directly joining the two points. This line is called diagonal and is related with length, width and height by the formula -
Diagonal = ✓(l² + w² + h²), where l represents length, w represents width and h represents height. Keep the values in formula -
Diagonal = ✓(4² + 4² + 10²)
Taking square of the number
Diagonal = ✓(16 + 16 + 100)
Performing addition on Right Hand Side of the equation
Diagonal = ✓132
Taking square root
Diagonal = 11.49 cm
Therefore, the shortest distance needed to be travelled by snail is (C) 11 cm.
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A lot measuring 120’ x 200’ is selling for $300 a front foot. What is the price?
a) $720,000
b) $60,000
c) $36,000
d) $800,000
A lot measuring 120’ x 200’ is selling for $300 a front foot, The price is $60,000. So, the correct option is (b).
The lot measures 120 feet by 200 feet, so the frontage is 200 feet (since the lot is being sold by the front foot). Therefore, the price of the lot is:
Price = frontage x price per front foot
Price = 200 ft x $300/ft
Price = $60,000
Therefore, the answer is $60,000.
By using the processor of multiplication, a lot measuring 120’ x 200’ is selling for $300 a front foot, The price is $60,000. So, the (b) is correct answer.
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Please answer and make sure it was on 100% right
Answer:
LTN and NTE is correct. It doesn't say to list all adjacent angles, so I think you are good to go as is.
The circle graph shows how the annual budget for a company is divided by department. If the total annual budget is $12,500,000, what amount is budgeted for Marketing?
In the circle graph, the amount budgeted for marketing is
4,750,000What is circle graphA circle graph is another term for a pie chart, which is a type of data visualization that represents data as a circle, divided into sectors or slices, each representing a proportion or percentage of the total data set.
The size of each sector is proportional to the value it represents, so larger sectors indicate larger values, and smaller sectors indicate smaller values.
In the circle graph, when the total annual budget is $12,500,000. The amount budgeted for marketing is
= 38/100 * 12,500,000
= 4,750,000
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The sum of 6 consecutive integers is 519
What is the third number in this sequence?
n= the first integer
n + (n+1) + (n+2) + (n+3) + (n+4) + (n+5) = 519
6n + 15 = 519
6n = 594
n = 99
1st one = 99
so 3rd one = 101
Let log p/n=8 and log m/n=5
What is the relationship between Pand M?
O A. P = 3M
O B. P = 1,000M
C. P= 100M
O D. P=0.001M
Answer:
B: p=1,000m
Step-by-step explanation:
A bucket contains 4 black and three white ball. two balls are randomly selected without replacement. what is the probability that the balls are both white
The probability that the balls are both white be 1/7.
What is meant by probability?Probability is a branch of mathematics that deals with numerical descriptions of how likely an event is to occur or how likely a proposition is to be true. The probability of an event is a number between 0 and 1, where 0 indicates the event's impossibility and 1 indicates certainty.
What is the probability that the balls are both white?Number of black balls = 4
Number of white balls = 3
Total number of balls = 7
Number of ways of picking up a white ball out of 7 balls, P(W) = 3/7
Number of ways of picking up a second white ball ,P(W) = 2/6
Therefore, the probability of picking up 2 white balls
P(WW) = 3/7 \(*\) 2/6 = 1/7
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It takes Carrie 58 minutes to get home.
If Carrie leaves for home at 1:32, what time will she arrive?
Answer:
she gets home at 2:30
Step-by-step explanation:
NECESITO AYUDA URGENTE...
1- Ordena en forma descendente el siguiente polinomio con respecto a la
variable n. Luego identifica el término independiente:
6n 3 + 7n 4 -2n 2 -5 + 9n 5
2- Completa el polinomio para que cada término tenga el mismo grado
absoluto:
5x 4 y 3 – 3x 6 ___ + 5x 2 4__ + 7___ y 2 + 8y 7 - 6
3- Observa el siguiente polinomio e identifica cuáles son los términos
semejantes:
-8 + 3m 3 n – 4m 2 n + 7mn 2 -11nm 3 + 5 + 6m 2 n
4- Evalúa la veracidad de cada afirmación de la siguiente afirmación:
El grado absoluto de un polinomio no puede ser 1: ___________
5- El grado absoluto de un polinomio se obtiene sumando los grados relativos
de las variables: _________
_
6- El grado absoluto de un binomio puede ser cero: _________
_
7- Si el grado relativo de una variable es tres, entonces, el grado absoluto es
un número mayor que tres: __________
8- Si el grado absoluto de un término es uno. Entonces, el polinomio tiene una
sola variable: ___________
9- Completa el polinomio, luego ordénalo en forma descendente:
15x 4 + 5x 6 + 3x 3 + 2x 2 + 8 + +
10- Cuál es el valor numérico del siguiente polinomio cuando la x = -2 ; y= -3
: 3x 2 y – 5xy 2 + x -3y + 2
Answer:
Step-by-step explanation:
1- Order in descending order the following polynomial with respect to the
variable n. Then identify the independent term:
\(6n^3 + 7n^4 - 2n^2 - 5 + 9n^5\)
The independent term is - 5.
3- Look at the following polynomial and identify what the terms are
similar:
\(- 8 + 3m^3 n - 4m^2n + 7mn^2 - 11nm^3 + 6 m^2 n\)
The similar terms are + 3m^3 n and - 11 nm^3 and
- 4 m^2 n and 6 m^2 n
Which inequality is true when the value of d is -15?
Answer:
d - 9 < -7
Step-by-step explanation:
Plug in -15 for d. So -15 - 9 which give you -24. -24 is less than -7
The inequality equation is d - 9 < -7 , when d = -15
What is an Inequality Equation?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
d - 9 < -7 be equation (1)
when d = -15
Substitute the value of d = -15 in the equation , we get
-15 - 9 < -7
-24 < -7
Therefore , the inequality relation satisfies the condition
Hence , the inequality equation is d - 9 < -7
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Which of the following best described the line that is passing through the ordered pairs given below? Select all that apply
(-4, 6) & (-4, 1)
The slope of the line is undefined.
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Two points on the line are (-4, 6) and (-4, 1)
Now,
Since, The equation of line passes through the points (-4, 6) and (-4, 1)
So, We need to find the slope of the line.
Hence, Slope of the line is,
m = (y₂ - y₁) / (x₂ - x₁)
m = (1 - 6) / (-4 - (-3))
m = - 5 / 0
m = ∞
Thus, The slope of the line is undefined.
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What are the next three terms in the sequence? -112, -129, -146, ___________
Explain your answer.
Answer: -163, -180, -197
Step-by-step explanation:
The ________ for a point is the number of standard errors a point is away from the mean. Group of answer choices z-value coefficient of variation variance standard deviation
The term you are looking for is the "z-value." The z-value for a point is the number of standard errors a point is away from the mean.
The z-value for a point is the number of standard errors a point is away from the mean. This is a long answer but it accurately explains the concept.
The z-value is a measure of how many standard deviations a particular observation or data point is away from the mean. It is calculated by subtracting the mean from the value and then dividing the result by the standard deviation. By doing this, we can determine whether a particular observation is within the normal range or if it is an outlier. The z-value can also be used to compare observations from different data sets as it takes into account the variability of the data.Therefore, the z-value is an important statistical tool that helps us to interpret and analyze data.Thus, the term you are looking for is the "z-value." The z-value for a point is the number of standard errors a point is away from the mean.Know more about the z-value
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Solve: 5/2x - 1/3= -1/2
A. x=-5/12
B. x= -25/12
C. x= -1/15
D. x= 1/3
Answer:
c. x = -1/15
Step-by-step explanation:
5/2x - 1/3 = -1/2 [multiply the whole equation by 6 (lowest common denom)
15x - 2 = -3 [add 2 on both sides of equation
15x = -1 [divide both sides by 15 to isolate x]
x = -1/15
you can rent time on computers at the local copy center for a $10 setup charge and an additional $2 for every 5 minutes. how much time can you rent for $25?
You can rent time on computers at the local copy center for 35 minutes with $25.
To find out how much time you can rent for $25 at the local copy center, follow these steps:
1. Subtract the $10 setup charge from the total amount you have: $25 - $10 = $15.
2. Now you have $15 left for renting time on the computers. Since it costs $2 for every 5 minutes, you need to find out how many 5-minute increments can be covered by $15.
3. Divide the remaining amount by the cost per 5-minute increment: $15 / $2 = 7.5. Since you can't have half an increment, round down to 7.
4. Multiply the number of 5-minute increments by the time per increment: 7 * 5 = 35 minutes.
So, you can rent time on computers at the local copy center for 35 minutes with $25.
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Consider a continuous-time Markov chain with three states 1, 2, 3, 4, 5 and transition rates q12=1, q13 = 2, q21 = 0, q23 = 3, q31 = 0, q32 = 0. (1) Write the system of ODEs for the corresponding transition probabilities Pᵢⱼ (t) . (2) Suppose that the initial state is 1. What is the probability that after the first transition, the process X(t) enters state 2?
the probability of transitioning from state 1 to state 2 after the first transition is:
P(X(t) enters state 2 after the first transition | X(0) = 1) = 1 / 3
To write the system of ordinary differential equations (ODEs) for the transition probabilities Pᵢⱼ(t) of the given continuous-time Markov chain, we need to consider the rate at which the system transitions between different states.
Let Pᵢⱼ(t) represent the probability that the Markov chain is in state j at time t, given that it started in state i at time 0.
The ODEs for the transition probabilities can be written as follows:
dP₁₂(t)/dt = q₁₂ * P₁(t) - q₂₁ * P₂(t)
dP₁₃(t)/dt = q₁₃ * P₁(t) - q₃₁ * P₃(t)
dP₂₁(t)/dt = q₂₁ * P₂(t) - q₁₂ * P₁(t)
dP₂₃(t)/dt = q₂₃ * P₂(t) - q₃₂ * P₃(t)
dP₃₁(t)/dt = q₃₁ * P₃(t) - q₁₃ * P₁(t)
dP₃₂(t)/dt = q₃₂ * P₃(t) - q₂₃ * P₂(t)
where P₁(t), P₂(t), and P₃(t) represent the probabilities of being in states 1, 2, and 3 at time t, respectively.
Now, let's consider the second part of the question: Suppose that the initial state is 1. We want to find the probability that after the first transition, the process X(t) enters state 2.
To calculate this probability, we need to find the transition rate from state 1 to state 2 (q₁₂) and normalize it by the total rate of leaving state 1.
The total rate of leaving state 1 can be calculated as the sum of the rates to transition from state 1 to other states:
total_rate = q₁₂ + q₁₃
Therefore, the probability of transitioning from state 1 to state 2 after the first transition can be calculated as:
P(X(t) enters state 2 after the first transition | X(0) = 1) = q₁₂ / total_rate
In this case, the transition rate q₁₂ is 1, and the total rate q₁₂ + q₁₃ is 1 + 2 = 3.
Therefore, the probability of transitioning from state 1 to state 2 after the first transition is:
P(X(t) enters state 2 after the first transition | X(0) = 1) = 1 / 3
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show that, in any group of two or more people, there are always two who have exactly the same number of friends within the group.
In any group of two or more people, there are always two who have the same number of friends within the group.
Suppose we have a group of n people. Each person can have between 0 and n-1 friends within the group. If someone has 0 friends, then everyone else must have at least 1 friend. Similarly, if someone has n-1 friends, then everyone else must have at most n-2 friends.
Therefore, there are only n-1 possible numbers of friends that a person can have within the group. But we have n people, so by the pigeonhole principle, at least two people must have the same number of friends within the group.
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HELP ILL GIVE BRAINLIEST
An equation is shown.
4c + 2c = 4c + 11/2
What value of 2c makes the equation true?
Answer:
\(\huge\boxed{\bf\:c = \frac{11}{4}}\)
Step-by-step explanation:
\(4c + 2c = 4c + \frac{11}{2}\)
Cancel 4c on both the sides of the equation.
\(2c = \frac{11}{2}\)
Bring the 2 in the denominator of 11/2 to the left hand side of the equation.
\(2*2c = 11\\4c = 11\)
Bring 4 to the right hand side if the equation.
\(\boxed{\bf\:c = \frac{11}{4}}\)
\(\rule{150pt}{2pt}\)
farmer sara has 14 more chickens than sheep. there is a total of 94 legs between the chickens and sheep. how many sheep does farmer sara have?
There must be a whole number of sheep, we round to 16. Sara the farmer therefore owns 16 sheep.
The number of sheep is x, let's say. As a result, x + 14 equals the number of chickens.
The sum of the legs on the chickens and sheep is 94; hence, the number of sheep legs plus the number of chicken legs equals 94.
Write this as follows:
2x + 2(x + 14) = 94
The equation is expanded and made simpler to give us:
4x + 28 = 94
Subtracting 28 from both sides gives us:
4x = 66
Finally, dividing both sides by 4 gives us:
x = 16.5
Since there must be a whole number of sheep, we round to 16. Sara the farmer therefore owns 16 sheep.
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GIVING BRAINIEST EXPLAIN ANSWER
A researcher wishes to estimate, with 90% confidence, the population proportion o adults who think Congress is doing a good or excellent job. Her estimate must be accurate within 2% of the true proportion. (a) No preliminary estimate is available. Find the minimum sample size needed (b Find the minimum sam ple size needed, using a prior study that found that 42% of the respondents said they think Congress is doing a good or excellent (c) Compare the results from parts (a) and (b). (a) What is the minimum sample size needed assuming that no prior information is available? n- (Round up to the nearest whole number as needed.) b) What is the minimum sample size needed using a prior study that found that 42% of the respondents said they think Congress is doing a good or excellent job? nRound up to the nearest whole number as needed.) (c) How do the results from (a) and (b) compare? A. Having an estimate of the population proportion has no effect on the minimum sample size needed. O B. Having an estimate of the population proportion raises the minimum sample size needed. O c. Having an estimate of the population proportion reduces the minimum sample size needed.
a. The minimum sample size needed is 601.
b. The minimum sample size needed using a prior study is 304.
c. The difference between the results from parts (b) and (a) shows that a preliminary estimation of the population proportion can lower the necessary minimum sample size.
What is a z-score?The signed, fractional number of standard deviations above the mean value that an event is above is expressed by the dimensionless variable known as the z-score. Among other names, it is also referred to as the normal score, z-value, and standard score. Z-scores are indicative of values that are higher than the mean and lower than the mean.
(a) To find the minimum sample size needed assuming that no prior information is available, we can use the formula:
n = (Zα/2)² *\(\hat p \hat q\)/ E²
where Zα/2 is the z-score corresponding to the desired level of confidence (90% confidence corresponds to a z-score of 1.645), \(\hat p\) is the sample proportion (unknown), \(\hat q = 1 - \hat p\), and E is the maximum error of estimation (2% of the true proportion, or 0.02).
Plugging in the values, we get:
n = (1.645)² * 0.5*0.5 / 0.02² ≈ 601
Consequently, 601 is the required minimum sample size.
(b) To find the minimum sample size needed using a prior study that found that 42% of the respondents said they think Congress is doing a good or excellent job, we can use the formula:
n = (Zα/2)² * \(\hat p \hat q\) / E²
where now we have a preliminary estimate of the population proportion, \(\hat p = 0.42, and \hat q = 1 - \hat p.\)
Plugging in the values, we get:
n = (1.645)² * 0.42*0.58 / 0.02² ≈ 304
Therefore, the minimum sample size needed using a prior study is 304.
(c) The result from part (b) is smaller than the result from part (a), indicating that having a preliminary estimate of the population proportion can reduce the minimum sample size needed. This is because a preliminary estimate can provide a starting point for the sample size calculation, and reduce the variability of the sampling distribution.
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Help, Help, Please
\( \sf find \: the \: value \: of \: \theta \: when \: \theta \: is \: acute\: angle\)
\( \sf \cos^{2}(\theta) - \sin^{2}(\theta) =2-5 \cos(\theta) \)
\(\text{note:explanation is a must}\)
Answer:
θ = \(\frac{\pi }{3}\) (60° )
Step-by-step explanation:
Using the identity
sin²x + cos²x = 1 ⇒ sin²x = 1 - cos²x
Given
cos²θ - sin²θ = 2 - 5cosθ
cos²θ - (1 - cos²θ) = 2 - 5cosθ
cos²θ - 1 + cos²θ = 2 - 5cosθ
2cos²θ - 1 = 2 - 5cosθ ( subtract 2 - 5cosθ from both sides )
2cos²θ + 5cosθ - 3 = 0 ← in standard form
(cosθ + 3)(2cosθ - 1) = 0 ← in factored form
Equate each factor to zero and solve for θ
cosθ + 3 = 0
cosθ = - 3 ← not possible as - 1 ≤ cosθ ≤ 1
2cosθ - 1 = 0
cosθ = \(\frac{1}{2}\) , so
θ = \(cos^{-1}\) (\(\frac{1}{2}\) ) = \(\frac{\pi }{3}\) ( or 60° )
Answer:
\( \huge \boxed{ \boxed{\blue{ { \theta = 60}^{ \circ} }}}\)
Step-by-step explanation:
to understand thisyou need to know about:trigonometryPEMDASlet's solve:\( \sf \: rewrite \: \sin ^{2} ( \theta) \: as \: 1 - \cos ^{2} ( \theta) : \\ \sf \implies \: \cos ^{2} ( \theta) - (1 - \cos ^{2} ( \theta)) = 2 - 5 \cos( \theta) \)\( \sf \: remove \: parentheses \: and \: change \: its \: sign : \\ \sf \implies \: \cos ^{2} ( \theta) - 1 + \cos ^{2} ( \theta)) = 2 - 5 \cos( \theta) \)\( \sf \: add : \\ \sf \implies \: 2\cos ^{2} ( \theta) - 1 = 2 - 5 \cos( \theta) \)\( \sf \: move \: left \: hand \: sides \: expression \: to \: right \: hand \: sides \: : \\ \sf \implies \: 2\cos ^{2} ( \theta) + 5 \cos( \theta) - 1 -2 = 0\)\( \sf \: rewrite \: 5\cos( \theta) \: as \: 6 \cos( \theta) - \cos( \theta) : \\ \sf \implies \: 2\cos ^{2} ( \theta) + 6 \cos( \theta) - \cos( \theta) - 3 = 0\)\( \sf \:factor \: out \: 2 \cos( \theta) \: and \: - 1 : \\ \sf \implies \: 2\cos ( \theta)( \cos( \theta) + 3 ) -1( \cos( \theta) + 3) = 0\)\( \sf \: group: \\ \sf \implies \: (2\cos( \theta) - 1) ( \cos( \theta) + 3 ) = 0\)\( \sf \: rewrite \: as \: two \: seperate \: equation: \\ \sf \implies \: \begin{cases}2\cos( \theta) - 1 = 0\\ \cos( \theta) + 3 = 0 \end{cases} \)\(\sf add \: 1 \: to \: the\: first \: equation \: and \: substract \: 3 \: from \: the \: second \: equation: \\ \sf \implies \: \begin{cases}2\cos( \theta) = 1\\ \cos( \theta) = - 3 \end{cases} \)\( \sf the \: second \: eqution \: is \: false \: \\ \sf because \: - 1 \leqslant \cos( \theta) \leqslant 1 \: \\ \sf but \: we \: can \: still \: work \: with \: the \: second \: equation\)
\( \sf substract \: both \: sides \: by \: 2 : \\ \implies\frac{ 2\cos( \theta) }{2} = \frac{1}{2} \\ \implies\cos( \theta) = \frac{1}{2} \\ \therefore \: \theta \: = {60}^{ \circ} \)Gina is making a loaf of bread and rolls. She has 10 pounds of dough. She'll need 2 2 5 pounds for the loaf of bread, and 0.4 pounds for each roll. Solve an equation for how many r, rolls she can bake. Round to the nearest whole roll if necessary.
Write a polynomial that represents the perimeter of the triangle with side lengths of 4x^2-9x+12, x+3, x^2+3x+7
Answer:
It would be A i took the test
Step-by-step explanation:
Find the steady-state response Y_ss(t), given the model: 0.5y + 5y = f(t) with the following Fourier series representation of the input: f(t) = sin(4t) + 4 sin(8t) + 0.04 sin(12t) + 0.06 sin(16t)
Therefore, the steady-state responseusing Laplace theorem ia `Yss(t)` of the system is
\((1/4)sin(4t) + (5/8)sin(8t) + (0.015)sin(12t) + (0.01)sin(16t).Answer: `Yss(t) = (1/4)sin(4t) + (5/8)sin(8t) + (0.015)sin(12t) + (0.01)sin(16t)`\)
Given the transfer function of the system and the input frequency as follows:\(0.5y+5y = f(t)where f(t) = sin(4t) + 4sin(8t) + 0.04sin(12t) + 0.06sin(16t)\)
We have to find the steady-state response \(`Yss(t)`\) of the system.
Let's start the solution: Take Laplace transform on both sides of the given equation.\(`(0.5y + 5y)(L) = f(t)(L)`\)
By using linearity of Laplace transform:`\(L(0.5y) + L(5y) = L(f(t))``0.5L(y) + 5L(y) = L(sin(4t)) + 4L(sin(8t)) + 0.04L(sin(12t)) + 0.06L(sin(16t))`\)We know that the Laplace transform of sin(at) is given by:\(`L(sin(at)) = (a) / (s² + a²)`\)
Putting values of Laplace transform of input f(t) into the above equation.\(`0.5L(y) + 5L(y) = (4) / (s² + 16) + 4(8) / (s² + 64) + 0.04(12) / (s² + 144) + 0.06(16) / (s² + 256)`\)
Let's solve for \(L(y).`0.5L(y) + 5L(y) = 0.25 / (s² + 4²) + 1.25 / (s² + 8²) + 0.03 / (s² + 12²) + 0.04 / (s² + 16²)`\)
Factorizing the denominator, we get: \(`L(y) = [0.25 / (s² + 4²) + 1.25 / (s² + 8²) + 0.03 / (s² + 12²) + 0.04 / (s² + 16²)] / (0.5 + 5)`\)
Evaluating the above expression we get: \(`L(y) = [0.25 / (s² + 4²) + 1.25 / (s² + 8²) + 0.03 / (s² + 12²) + 0.04 / (s² + 16²)] / 5.5`\)
We know that the inverse Laplace transform of \(`1 / (s² + a²)` is given by: `L⁻¹[1 / (s² + a²)] = (1 / a) sin(at)`\)
Using the above formula and taking inverse Laplace transform on L(y), we get\(:`y(t) = L⁻¹[L(y)]``y(t) = (1/4)sin(4t) + (5/8)sin(8t) + (0.015)sin(12t) + (0.01)sin(16t)`.=\)
Hence, the steady-state response of the given system is:\(`Yss(t) = (1/4)sin(4t) + (5/8)sin(8t) + (0.015)sin(12t) + (0.01)sin(16t)`\)
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What is an equation of the line that passes through the point (- 1, 2) and is parallel
to the line 3x + y = 3?
The equation of the line that passes through (-1, 2) and is parallel to 3x + y = 3 is y = -3x - 1
We have,
To find the equation of the line that is parallel to 3x + y = 3 and passes through the point (-1, 2), we need to find the slope of the given line first.
Rewriting the given line in slope-intercept form, we get:
y = -3x + 3
Comparing this equation to y = mx + b, we can see that the slope of the given line is -3.
Since the desired line is parallel to this line, it will have the same slope of -3.
Using the slope-intercept form of a line, y = mx + b, we can plug in the slope and the coordinates of the point (-1, 2) to solve for the y-intercept b:
2 = (-3) (-1) + b
2 = 3 + b
b = -1
Thus,
The equation of the line that passes through (-1, 2) and is parallel to
3x + y = 3 is y = -3x - 1
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Double questions, double points.
Answer:
18. 1 to 4
Step-by-step explanation:
18.
Areas = pi 2² : pi 4² = 4 : 16 = 1 : 4
1 to 4
19.
25 % = 125 oz
1 % = 125 ÷ 25 = 5 oz
To make it 10%, it needs to be reduced by 15%
15 % = 5 × 15 = 75 oz. I think it's impossible to do?
Lisa plans to watch 3 movies each month. Write an equation to represent the total number of movies n that she will watch in m months.
Answer:
someone help call the police candice just got shot
Step-by-step explanation:
ahahahahahahahhahaa
Answer:
3m
Step-by-step explanation:
1 month =3 movies
m month =3*m movies
What is the quotient of –11.25 divided by –0.375?
Answer:
D!!
Step-by-step explanation:
(30)
lol np
Simplify the equation for x.
Answer: 6/5
Step-by-step explanation:
Group the variables together on one side and the numbers together on the other.
(5/6)x = 1
x = 6/5
Answer:
x = 6/5
Step-by-step explanation:
1x/2 + 1x/3 = 4-3
3x/6 + 2x/6 = 1
5x/6 = 1
5x = 6
x = 6/5
Based on the information marked in the diagram, AMNP and AQRS must be
congruent.
N
R
ма
P
A. True
B. False
Answer:
Yes, it is true by AAS theorem.
The triangles ΔMNP and ΔQRS are congruent triangles
What are Congruent Triangles?Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape
The three sides are equal (SSS: side, side, side)
Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)
Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)
A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)
Given data ,
Let the first triangle be ΔMNP
Now , let the second triangle be ΔQRS
where the measure of angle ∠MNP = measure of angle ∠QRS = 90°
And , the measure of side NP = measure of side RS
And , the measure of ∠NPM = measure of angle ∠RSQ
So , two angles are the same and a corresponding side is the same (ASA: angle, side, angle)
Hence , the triangles are congruent by ASA theorem
To learn more about congruent triangles click :
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