Write the equation of the line through each point. Use slope-intercept form. (1,-1) ; parallel to y = (2/{5)x - 3
Answers
The equation of the line in slope-intercept form passing through the point (1 , -1) and parallel to y = (2/5)x - 3 is y = (2/5)x - 7/5.
The equation of a line can be expressed in three different forms: standard form, slope-intercept form, and point-slope form.
The slope-intercept form of the equation of a line is given by the formula:
y = mx + b
where m is the slope of the line
b is the y- intercept
If the line is parallel to y = (2/5)x - 3, then their slopes are equal.
y = (2/5)x - 3 : m = 2/5
m = 2/5
Substitute the values of the slope and the point to solve for the y-intercept, b.
y = mx + b
-1 = 2/5(1) + b
b = -7/5
Write the equation of the line by plugging in the value of the slope and y-intercept.
y = mx + b
y = (2/5)x - 7/5
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Related Questions
What is three x plus five x
Answers
Activity
Brayden, Howard, and Vincent are on the football team. During a game, Brayden gains 1 less than 5 times the average number of yards gained per play during the game. Howard runs for 1 more than 5 times the average number of yards gained per play during the game. Vincent runs for 5 more than 4 times the average number of yards gained per play during the game.
Question:
Is it possible that all three players gained the same number of yards? Explain your response.
Answers
Answer:
The equation for Brayden and Howard gaining the same number of yards has no solution. So, they could not have gained the same number of yards. Because Brayden and Howard could not have gained the same number of yards, all three could not have gained the same number of yards.
Step-by-step explanation:
(This is straight from Edmentum)
Simplify by combining like terms. -(2x + y) -2(-x-y)
Answers
The Simplified expression for -(2x + y) -2(-x-y) is y.
Like terms in an algebraic expression is defined as those terms that have same variable and that variable has the same power .
Algebraic Operation is only possible with Like terms .
For Example ; 3x , 9x are like terms .
According to the given Algebraic expression
= -(2x + y) -2(-x-y)
= -2x-y+2x+2y
Combining like terms together
We get ,
= (-2x+2x)+(2y-y)
= 0+y
=y
Therefore , the Simplified expression for -(2x + y) -2(-x-y) is y.
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Which quantity decreases as the sample size increases?
a. the standard deviation
b. the standard error
c. the population mean
d. the mean of all the sample means
Answers
The standard deviation decreases as the sample size increases.
What is standard deviation?The degree of data dispersion from the mean is measured by the standard deviation. Data are grouped around the mean when the standard deviation is low, and are more dispersed when the standard deviation is high.
A region containing 68 percent of the total number of data points would be defined by one standard deviation, or one sigma, shown above or below the average value on that normal distribution curve. Ninety-five percent of the data would be covered by two sigmas above or below, whereas three sigmas would cover 99.7 percent.
The standard deviation is significant because it reveals the degree of dispersion of the values in a particular dataset. Every time we examine a dataset, we look for the following metrics: the dataset's geographic center.
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do i set them equal to each other since they are opposite from one another? or do i set it equal to 180? Can someone help? thanks !
Answers
Answer:
Step-by-step explanation:
Okay so this is fun, let's lable the angle just under 72, but still on the right side B. now, side b is corresponding or equal to (2y+48). So you set them to equal 180 because it makes a straight line....
(2y+48) + 72 = 180
2y + 48 + 72 = 180
2y + 120 = 180
2y = 180 - 120
2y = 60
y = 60/2
y = 30
plug this back in and ...
2(30)+48 =
(60+48) =
108
No we'll use 108 + 72 to make sure that the y is correct and....
108 + 72 = 180 so.. CORRECT! :)
is √196 rational or irrational
Answers
Answer:
rational
Step-by-step explanation:
the square root of 196 is 14 ( whole number) therefor it is rational
Lisa has $375 left after paying her total expenses for the month. She wants to buy an exercise machine for$660. How much would she have to save for three months to have enough to buy this new exercise machine? For four months? For six months?
Answers
Answer:
Step-by-step explanation:
285 dollars. the left money = 660 - 375 =285
solve for x.
also write the equation needed please
Answers
Answer:
x = 12
Equation: 6x + 8 = 80
Step-by-step explanation:
A triangle's angles add up to 180 degrees. Knowing this, the angle represented by the "6x + 8" must equal 80 degrees since the other two angles add to 100 degrees.
Find the slope of the line through each pair of points. (2,7) and (-3,11)
Answers
The slope of line passing through points (2,7) and (-3,11) is -4/5.
What is the slope of line?Slope of a Line
The slope of a line is defined as the increase divided by the run, or as the ratio of the rise to the run. It describes the slope of the line in the coordinate plane. Calculating the slope of a line and determining the slope between two different points are similar activities.
The following formula is used to determine slope:
The slope of the line between two points is given by y2 - y1 / x2 - x1.
Given points are -
(2,7) and (-3,11)
Slope of the line is -
= 11 - 7 / -3 -2
= 4 / -5
So the slope of the line is -4/5
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Which are equivalent ratios to 6:13?
Check all that are true
12:39
42:78
18:39
18:26
12:26
Answers
Answer:
are these time stamps
Step-by-step explanation:
let me know
What is 38 plus negative 17 in integers?
Answers
Answer:
Step-by-step explanation:
38 + (-17) = 21
Answer:
The answer would be 55
Step-by-step explanation:
38-(-17)
38+ +17
55
Refer to ®N . If EN = 13 feet, what is the diameter of the circle?
Answers
EN is a radius and the diameter is twice the radius. The diameter of the circle is 26 ft.
What is meant by diameter?In geometry, a circle's diameter is any straight line segment that passes through the center of the circle and has endpoints on the circle. It is also referred to as the circle's longest chord. Both definitions apply to a sphere's diameter.
The diameter is twice the radius because the greatest distance between two points on a circle must be a line segment through the center of the circle.
Here, CF is a radius and the diameter is twice the radius.
Diameter of a circle = 2r
d = 2r
Where, r = 13
Diameter of a circle, d = 2r
Diameter of a circle = 2(13)
Diameter of a circle = 26
Therefore, the diameter of the circle is 26 ft.
Here, EN is a radius and the diameter is twice the radius.
Therefore, the diameter is 26 ft.
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help with the question in the image below
Answers
Answer:
Step-by-step explanation:
e
Evaluate each expression for a=3 and b=-5 . 2 a+b
Answers
Evaluating the expression 2a + b for a = 3 and b = -5 is equal to -1.
An algebraic expression is a number, variable, or the combination of both and operational symbols. On the other hand, an equation is the equality of two expressions separated by "=".
To evaluate an expression or an equation means to substitute a value to the variable and perform the arithmetic operations included.
Given the expression 2a + b, substitute the value of the variable a and the value of variable b.
2(3) + (-5)
Performing the arithmetic operations, we can have the value of the expression.
2(3) + (-5)
= 6 - 5
= 1
Hence, the expression 2a + b when a = 3 and b = -5 is equal to -1.
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Which expressions are equivalent to (d^1/8)^5
Answers
Using exponent properties we can get two equivalent expressions:
⁸√d^5
d^(5/8)
Which expressions are equivalent to (d^1/8)^5?Here we need to use two properties, these are:
ⁿ√x = x^(1/n)
(x^n)^m = x^(n*m)
Now, if we use the first property, we can rewrite the expression as:
(d^1/8)^5 = ⁸√d^5
Which is an equivalent expression.
If we use the other property we can get:
(d^1/8)^5 = d^( (1/8)*5) = d^(5/8)
Which is another equivalent expression.
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Help Please
Tickets for a school event were $1.75 for students and $3.75 for parents. If a total of 62tickets were sold for $178.50, how many student and parent tickets were sold? There were ____ student tickets sold and ____ parent tickets sold.
Answers
Answer:
There were 27 student tickets sold and 35 parent tickets sold.
Step-by-step explanation:
So first, we have to set up our equations!
s + p = 62 (s is the # of student tickets sold; p is the # of parent tickets sold; 62 is the total # of tickets sold)
1.75s + 3.75p = 178.50 (1.75s is the price for student tickets multiplied by the number of student tickets; 3.75p is the price for parent tickets multiplied by the number of parent tickets; 178.50 is the total amount of money)
Now! We are going to use elimination to solve for the variables, first for "s". To do this, we are going to multiply the first equation by -3.75!
-3.75 (s + p = 62)
-3.75s - 3.75 p = -232.50
+ 1.75s + 3.75p = 178.50
-2s = -54
s = 27
Next! We have to solve for "p" by multiplying the first equation by -1.75!
-1.75 (s + p = 62)
-1.75s - 1.75 p = -108.50
+ 1.75s + 3.75p = 178.50
2p = 70
p = 35
Lastly, we know that there were 27 student tickets sold, and 35 parent tickets sold.
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
Ms. Turner drove 100 miles in January. She drove 3 times as many miles in March as she did in January. She drove 4 times as many miles in February as she did in March. How many miles did Ms. Turner drive in February?
Answers
Step-by-step explanation:
100x4=400miles
400miles in February
OR
300x4=1200 miles
1200 miles in February
I don't know what is the correct one tho
Answer:
Step-by-step explanation:
1200 miles
ls 1.0227 a rational number Explain
Answers
Select the correct answer.
A triangle with vertices at A(0, 0), B(0, 4), and C(6, 0) is dilated to yield a triangle with vertices at A10, 0), B(0, 10), and C115, 0). The origin is the
center of dilation. What is the scale factor of the dilation?
OA. 1.5
OB. 2
OC. 2.5
D. 3
Reset
Next
Answers
the scale of dilation is 2.5 for the triangle ABC.
We are given the coordinates of triangle ABC as:
A(0, 0), B(0, 4), and C(6, 0)
Coordinates of dilated triangle A'B'C' is:
A' (10, 0), B'(0, 10), and C' (15, 0).
The scale of dilation can be calculated as:
k · ( 0, 0 ) = ( 0 , 0 )
k · ( 0 , 4 ) = ( 0 , 10 )
k · ( 6, 0 ) = ( 15, 0 )
k = 15 / 6 = 10 / 4 = 2.5
The scale of dilation is 2.5 for the triangle.
Therefore, the scale of dilation is 2.5 for the triangle ABC.
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Determine whether each sequence is arithmetic. If so, identify the common difference. 97,86,75,64, ...........
Answers
The given sequence is arithmetic progression AP. The common difference is found to be (-11).
What is the sequence called arithmetic progression AP?Arithmetic Progression (AP) is a number sequence in which the difference between two numerical order is a constant value. Arithmetic Sequence is another name for it.
We would then come across some key terms in AP, that are denoted as:
The first term (a)Common difference (d)Term nth (an)The total of first n terms (Sn)Some formula use in AP are-
The AP could also be expressed in concepts of common distinctions, as shown below; a, a + d, a + 2d, a + 3d, a + 4d, ………. ,a + (n – 1) dThe terms used in this progression for a given series are the first term, this same common difference, and the nth term. If a1, a2, a3,................, an is an AP, then the common difference " d " can be calculated as; d = a2 – a1 = a3 – a2 = ……. = an – an – 1.The formula for determining the n-th term of an AP is as follows: an = a + (n − 1) × dIf the first term, common difference, and total terms are known for an AP, the sum of the initial n terms can be calculated. The arithmetic progression sum formula is given below: Sn = n/2[2a + (n − 1) × d]Now as per the given question;
The given sequence is 97,86,75,64, ...........
Let the first term is'a₁' = 97.
Let 'a₂' = 86 is the second term.
Let the third term is 'a₃' = 75.
Let the fourth term be 'a₄' = 64.
As we know, in the AP, the difference between two consecutive terms is equal and therefore is referred to as the common difference.
d = a₂ - a₁
Substitute the values;
d = 86 - 97 = -11 ........(equation 1)
Now consider other pair;
d = a₃ - a₂
d = 75 - 86 = -11 .......(equation 2)
Put the values;
Thus, both the two equation are equal. It means the common difference is same that is (d = -11).
Therefore, the stated sequence is found to be in AP and the value of the common difference is found to be (d = -11).
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How can -6 be expressed as the sum of its integer and fractional parts?
Answers
The sum of its integer and fractional parts is (-6) + (-1/3).
What are fractions?Fractions are numerical values that represent a subset of a larger whole. A fraction is a portion or section of a whole quantity, which can be any number, a specific value, or a thing.
What Are Mixed Fractions, exactly?A mixed fraction is made up of both a whole number and a fraction. If 8 is a whole number and 1/2 is a fraction, the result is a mixed fraction.
The given expression is -6 1/3.
The integral part is -6, and the fractional part is 1/3.
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The correct question is: " How can - 6 1/3 be expressed as the sum of its integer and fractional parts? "
What is 36/-4+2(10-8)
Answers
Answer:
36/-4+2(10-8)
36/-4+2(2)
-9+2(2)
-9(4)
-36
Step-by-step explanation:
Quanto e {2×-3y=34×-y=11
Answers
Answer: x=4
Step-by-step explanation:
PLEASE HURRY THIS IS TIMED!!! I WILL CHOOSE BRAINLIEST!!!
Answers
Step-by-step explanation:
A=M
B=N
E=P
AB=MB
BE=NP
AE=MP
I don't know about the blanks sorry
what is f(2)= for the piecewise?
Answers
Answer:
Piece wise
Step-by-step explanation:
Piecewise function definition A piecewise function is a function that is defined by different formulas or functions for each given interval. Its also in the name: piece. The function is defined by pieces of functions for each part of the domain.
Kristen goes hiking every 3 days and swimming every 2 days. She did both kinds of exercise today. How many days from now will she next go both hiking and swimming again?
Answers
Kristen will do both the exercises together, 6 days from now.
We are told that Kristen goes hiking every 3 days and swimming every 2 days.
The day she will do both the exercises together will be the day which is a multiple of the LCM of 2 and 3.
Now, since 2 and 3 are both prime numbers, their LCM (lowest common multiple) will simply be their product, which comes out to be-
LCM (2, 3) = 2 * 3
= 6
Thus, Kristen will do both the exercises on every 6th day.
Thus, if she went for both swimming and hiking today, she will do both the exercises together again 6 days from now.
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The population of Austin, Texas, is 9.64 × 10 . The population of the
state of Texas is 30 times that of Austin. What is the approximate
population of Texas?
A. 2.9 × 10
B. 2.9 × 10
C. 2.9 × 10
D. 2.9 × 10
Answers
The population of Texas will be 2.9 × 10³.
How to calculate the value?Population of Austin, Texas = 9.64 × 10.
The population of the state of Texas is 30 times that of Austin.
Therefore the population of Texas will be:
= 30 × 9.64 × 10
= 2900
= 2.9 × 10³
Therefore, the population of Texas will be 2.9 × 10³.
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Determine whether the following are mutually exclusive. Explain.
choosing a quadrilateral that is a square and a quadrilateral that is a rectangle
Answers
A quadrilateral can be both a square and a rectangle, or a rectangle but not a square, because squares are rectangles but rectangles are not always squares. They do not conflict with one another.
What is termed quadrilateral?
A closed quadrilateral has four sides, four vertices, and four angles. It is a form of polygon. In order to create it, four non-collinear points are joined. Quadrilaterals always have a total internal angle of 360 degrees.What types of quadrilaterals are examples?
A closed, two-dimensional figure with four sides, four angles, and four vertices is called a quadrilateral. Square, rectangle, and trapezium are a few examples of quadrilaterals.
The two events are mutually exclusive if they cannot occur at the same time.
A quadrilateral can be both a square and a rectangle, or a rectangle but not a square, because squares are rectangles but rectangles are not always squares.
They do not conflict with one another.
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Simplify 3x^3 * 7y^2 * 4x * 5y ^3 using the rules of exponents
Answers
Using the rule of exponents, the expression is 12x^4 × 35y^5
What are the rules of exponents?The rules of exponents are given as:
Product of powers rule — When they are like bases, add the powersQuotient of powers rule — When they are like bases dividing, subtract the powersPower of powers rule — Multiply the powers together when a power is raised by another exponent.Given the expression;
3x^3 * 7y^2 * 4x * 5y ^3
collect the like bases
3x³ × 4x × 7y² × 5y³
Add the powers
12x^3 + 1 × 35^ 2 + 3
We then have;
12x^4 × 35y^5
Thus, using the rule of exponents, the expression is 12x^4 × 35y^5
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Are collinearity and betweenness of points maintained under rotation? Explain.
Answers
Yes , Are collinearity and betweenness of points maintained under rotation.
A rotation is a transformation that maintains congruence of the original figure and its image.
What does "collinearity" mean?
Collinearity is the statistical term for the correlation of predictor variables (or independent variables) in a regression model to represent a linear connection. They are unable to independently estimate the value of the dependent variable when predictor variables in the same regression model are coupled.What is an example of collinearity?
We have perfect multicollinearity if there is a precise linear relationship between two or more independent variables. Incorrect use of dummy variables (falling into the dummy variable trap), repeating the same information (weight in pounds and weight in kilograms), etc.Learn more about collinearity
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