Which of the following line passes through point (-4,5) and is parallel to the line segment whose endpoints are at (-2,-3) and (2,5)?
Answers
For this case we have that by definition, the equation of a line of the slope-intersection form is given by:
Where:
m: It's the slope
b: It is the cut-off point with the y axis
By definition, if two lines are parallel then their slopes are equal.
Then, the requested line will have a slope equal to:
Thus, the line is of the form:
We substitute point and find "b":
Finally, the equation is:
Answer:
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There are 15 violinists in the orchestra this year. Next year, two violinists will leave and some new violinists will join the orchestra. If v is the number of violinists who will join the orchestra, write an expression to represent the number of violinists in the orchestra next year.
Answers
Answers
Answer:
Note from question, Let K be any integer. Integer = 1
θ = πk
θ = 3.142 * 1
θ = 3.142 in three decimal places
θ = sin⁻¹ (2/3) + 2kπ
θ = sin⁻¹0.667 + 2*1*3.142
θ = 0.718 + 6.284
θ = 7.002 in three decimal places
∴ 7.002 , 3.142
Step-by-step explanation:
Considering the equation
3 tan(θ) sin(θ) − 2 tan(θ) = 0
The objective is to solve the equation.
First solve the equation in one period.
3 tan(θ) sin(θ) − 2 tan(θ) = 0
( 3sinθ − 2 ) tanθ = 0
Therefore, 3sinθ − 2 = 0 also tanθ = 0
=> sinθ = 2/3 , tanθ = 0
Pick the right equation.
tanθ = 0
θ = tan⁻¹ 0
θ = 0
Using the unit circle, the period of tangent functions is π
Then the general solution of the equation is θ = 0 + πk ==> θ = πk
Pick the left equation.
3sinθ − 2 = 0
3sinθ = 2
sinθ = 2/3
θ = sin⁻¹ (2/3)
As the sine function has period 2π
Then the general solution is θ = sin⁻¹ (2/3) + 2kπ
Answers
Answers
Answer:
A. Unit rate.
Step-by-step explanation:
We have been given a statement and we are supposed to choose the correct option for our given statement.
Statement:
A constant of proportionality can also be considered a(n) .
Since we know that constant of proportionality represents the amount by which two proportional quantities vary.
Two quantities are directly proportional, when they are in form , where k represents the constant of proportionality.
We can represent this proportion also as:
Since k represents the quotient of y and x, so the value of k represents the unit rate for two quantities y and x, therefore, a constant of proportionality can also be considered an unit rate.
Answer:
unit rate
Step-by-step
Much love <3
Answers
add 36+26+30+28=120
then divide 120 by 4, and you get 30
30 is your average
How long will it take
Jeffrey to walk one mile?
Answers
Answer:
1/4
Step-by-step explanation:
Final answer:
Jeffrey will take 2/3 of an hour to walk one mile.
Explanation:
To find out how long it will take Jeffrey to walk one mile, we need to divide the distance walked in 1/2 an hour (3/4 mile) by the time taken. Since the distance is 3/4 of a mile and the time taken is 1/2 an hour, we can set up the proportion: (3/4) / (1/2) = 1 / x. Cross multiplying gives us (3/4) * x = (1/2) * 1, where x is the time taken to walk one mile. Simplifying, we get 3x / 4 = 1 / 2. To solve for x, we can multiply both sides of the equation by 4/3: x = (4/3) * (1/2) = 4/6 = 2/3. Therefore, it will take Jeffrey 2/3 of an hour to walk one mile.
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