Two lines are said to parallel when they have the same slope, from which we can find the equation for both the lines.
The equation of two parallel lines on a graph can be determined by understanding the slope of the two lines. To find the equation of two parallel lines on a graph, first determine the slope of the two lines. This can be done by picking two points, (x1,y1) and (x2,y2), on the line and then calculating the slope using the formula: slope = (y2 - y1) / (x2 - x1). The two lines will have the same slope if they are parallel. After determining the slope, plug the slope and the coordinates of one of the points into the equation: y = mx + b, where m is the slope and b is the y-intercept. This equation will give the equation of the line in slope-intercept form. To find the equation of the second line, use the same slope and the coordinates of one of the points on the second line.
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which expression factors to 8(x + 2)?
The factors of 8(x + 2) are 2, 4, 8, (x+2)
What is factor of an expression?
In mathematics, an integer m that can be multiplied by another integer to create n is known as a divisor of an integer n, also known as a factor of n. One can also state that n is a multiple of m in this situation.
Given expression is
8(x+2)
The factorization of 8 is 2 × 2 × 2.
Putting 8 = 2 × 2 × 2 in the given expression:
= 2 × 2 × 2 (x+2)
= 2 × 4 (x+2)
The factor of 8(x+2) are 2, 4, 8, 2(x+2), 4(x+2), 8(x+2).
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consider the angle the bottom of the ladder makes with the ground. how fast is the angle changing (in radians) when the ladder is 5.4 feet away from the house?
The angle is changing 0.05136 radians when the ladder is 5.4 feet away from the house.
What is an angle?
An angle is a shape created by two rays that share a terminus and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles.
Here, we have
The angle the bottom of the ladder makes with the ground.
d∅/dt = d∅/dx × dx/dt.....(1)
bur, x = 24cos∅
dx/d∅ = -24sin∅
d∅/dx = 1/(-24sin∅)
Now, equation (1) becomes,
d∅/dt = 1/(-24sin∅)× dx/dt
If the ladder is 5.4 feet away from the house then,
sin∅ = √24² - 5.4²/24
d∅/dt = -1/√24² - 5.4² ×0.12
d∅/dt = 0.05136 radian
Hence, the angle is changing 0.05136 radians, when the ladder is 5.4 feet away from the house.
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a baseball league has nine teams. during the season, each of the nine teams plays exactly three games with each of the other teams. what is the total number of games played?
The total number of game played are 108.
What is baseball?
In the bat-and-ball game of baseball, two teams of nine players each alternate between batting and fielding. When the umpire indicates to the pitcher that the ball is now in play, either verbally or physically, the game is in progress.
9 teams means each team will play 8 other teams 3 times (totaling 24). 24 games times 9 teams is 216.
However, when you count the first 24 games for team 1, you are counting the 3 games played against team 2.
When you add the games for team 2, you can’t also add the games played against team 1, or you’d be doubling the games counted.
This continues for each team. Team 3 can’t count it’s games against teams 1 or 2. Team 4 can’t count it’s games against teams 1, 2, or 3.
Continuing this and adding the total gets you 108.
Also, taking the first total of 216, you can simply divide by 2 and get the same number.
Hence, the total number of game played are 108.
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0.36 as a fraction in its simplest form
Answer:
0.36 can be expressed as 9/25 in the form of a fraction.
Step-by-step explanation:
hoped this helped:)
brainliest for the brains:)
3. Simplify 5/1 divided by 7/2
To divide fractions, remember this.
Keep change flip.
Keep one of the fractions.
Change the sign to multiplication.
Flip the other fraction.
[tex]\frac{5}{1} /\frac{7}{2} =\frac{5}{1} *\frac{2}{7} = \frac{10}{7}[/tex]
Answer is 10/7
Hope this helps :)
If you need any more explanation, feel free to ask. If this really helps, consider marking brainliest.
- Jeron
What other information, if any, do you need to prove the two triangles congruent by SAS? Explain.
A. Line GL = Line NM and Line GT= Line NQ are both needed because all three corresponding sides must be congruent.
B. Line GT= NQ is needed because the congruent angles need to be included between two corresponding congruent sides.
C. Line GL = Line NM is needed because the congruent angles need to be included between two corresponding congruent sides.
D. No additional information is needed to prove the triangles congruent by SAS.
Answer:
C. Line GL = Line NM is needed because the congruent angles need to be included between two corresponding congruent sides.
What shape is the king of the quadrilaterals?
Square is consider as the king of all the quadrilaterals.
Explanation:
Quadrilaterals are four sided geometrical shape with four vertices, four sides, and four angles enclosed in it.There are six types of quadrilaterals namely trapezium, parallelogram, rectangle, rhombus, square, and kite.Square is consider as the king of all the quadrilaterals:
Square have all four sides congruent, opposite pair of sides parallel to each other, and measure of each angle is 90 degree.Each of these properties represents different types of quadrilateral.Each angle 90 degree represent rectangle.Opposites are parallel to each other represent parallelogram.All sides are congruent represents rhombus.Square consists property of parallelogram, rectangle, and rhombus.Therefore, square shape is consider as the king of all the quadrilaterals.
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max earns £18000 a year he gets a 3.5% pay rise how much more does max earn per month
Answer: I don't really understand what £ means but the answer is 0.35
pls answer this fast
Answer:
dark blue
Step-by-step explanation:
What is the value formula?
The value formula is: Value = Place Value × Face Value
We know that the value in mathematics is nothing but the worth of each digit depending on where it lies in the number.
We calculate the value of number by multiplying the place value and face value of the digit.
The value formula is:
Value = Place Value × Face Value
Place value is the value of the column in which the number is. Each column in a number holds a different place value.
For exa., consider a number 456. Here, the place value of the digit 5 is tens and the place value of 4 is hundreds.
The face value of any digit is the same digit.
For a number 120 , the face value of 1 is 1, face value of 2 is 2.
Therefore, the formula for the Value = Place Value × Face Value
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Tia began filling the bathtub at a constant rate.
She then turned off the water for a while and some of the water drained out of the bathtub.
Tia turned the water back on at the same rate as before until the bathtub was full.
Which graph best represents Tia filling the bathtub?
The 1st graph best represents Tia filling the bathtub
How to determine which graph best represents Tia filling the bathtub?(Consider the image I attached)
At point 1, Tia began filling the bathtub at a constant rate until the water in the bathtub reached point 2
She then turned off (point 2) the water for a while and some of the water drained out of the bathtub. That, the water level dropped from point 2 to point 3
Tia turned the water back on(point 3) at the same rate as before until the bathtub was full (point 4). As you can see there is an increase from point 3 to point 4.
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Please help me with part B
Answer:
To find the zeros ( roots ) of f(x). Put f(x) = 0.
We have :
[tex]0 = 10 - \sqrt{8 - x \\ } \\ \sqrt{8 - x} = 10 \\ 8 - x = 100 \\ 8 - 100 = x \\ x = - 92[/tex]
PLEASE HELP 35 POINTS MATH
Answer:
31
Step-by-step explanation:
-4+16+19=31
A survey was taken during school to see how students get to school the data was summarized in the table below
A.9
B.10.5
C.13.25
D.19.25
E.21
Answer: B
Step-by-step explanation: B
How can the triangles be proven similar by the SSS?
Answer:If the corresponding sides are known then they can be calculated.
Step-by-step explanation:If the measures of corresponding sides are known, then their proportionality can be calculated.
HEEEELLLPP ME FAST I ONLY GOT 51:20 MINES LEFT!!!!
he lines on the graph below represent the cost of apples at four different stores. A graph titled Cost of Apples has pounds of apples on the x-axis and total cost in dollars on the y-axis. Line A goes through points (0, 0) and (4, 3). Line B goes through points (0, 0) and (4, 4). Line C goes through points (0, 0) and (4, 5). Line D goes through points (0, 0) and (4, 8). At which store is the cost of apples the least?
Answer: LINE A (take a look at the slope of the lines they all have the same x axis but the y axis # changes which is what changes our slope) making a the answer
Step-by-step explanation:
Directions: Use the formula Sn =a (1 - rn ) ÷ (1 – r) to find the sum Sn for each of the geometric series, given the value for a, r, and n.
1. a = -1, r = -2, n = 8
2. a = ½, r = -1/3, n = 6
3. a = 4, r = 3, n = 5
4. a = -9, r = -3, n =4
5. a = 6, r = 3, n =4
6. a = 4, r = ¼, n = 4
7. a = 3, r = -2, n = 7
8. a = -2, r = 3, n = 5
The required sum Sn for each of the given geometric series is illustrated in the solution.
The sum of a geometric series is given by the formula Sn = a(1 - r^n) / (1 - r), where a is the first term of the series, r is the common ratio, and n is the number of terms in the series.
As per the given question, the required solution would be as:
1. a = -1, r = -2, n = 8:
Sn = (-1)(1 + 2⁸) / (1 + 2) = -1023 / 3
2. a = 1/2, r = -1/3, n = 6:
Sn = (1/2)(1 + (-1/3)⁶) / (1 + (-1/3)) = (1/2)(1 + 1/729) / (4/3) = 728/2187
3. a = 4, r = 3, n = 5:
Sn = (4)(1 + 3⁵) / (1 + 3) = 1792 / 4
4. a = -9, r = -3, n = 4:
Sn = (-9)(1 + (-3)⁴) / (1 + (-3)) = -729 / 2
5. a = 6, r = 3, n = 4:
Sn = (6)(1 + 3⁴) / (1 + 3) = 3456 / 4
6. a = 4, r = 1/4, n = 4:
Sn = (4)(1 + (1/4)⁴) / (1 + (1/4)) = 256 / 5
7. a = 3, r = -2, n = 7:
Sn = (3)(1 + (-2)⁷) / (1 + (-2)) = -769 / 3
8. a = -2, r = 3, n = 5:
Sn = (-2)(1 + 3⁵) / (1 + 3) = -1792 / 4
Thus, the required sum Sn for each of the given geometric series is illustrated in the above solution.
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solve this math 1-1=?
Serious question or not the answer is zero
Answer:
0
Step-by-step explanation:
One minus one is zero.
order these from smallest to largest
0.13 ,3/20 ,12% ,1/10, 0.09
Answer:
0.09, 1/10, 121%, 0.13, 3/20
Step-by-step explanation:
0.13 = 0.13
3/20 = 0.15
12% = 0.12
1/10 = 0.10
0.09 = 0.09
0.09, 0.10, 0.12, 0.13, 0.15
Answer: 0.09, 1/10, 121%, 0.13, 3/20
What does 1/2 of a number mean?
1/2 of a number means one - half of a number.
The irreducible fraction that results from dividing one by two or from dividing any number by its double is known as a half (plural: halves).
Conversely, division by one-half is equivalent to multiplication by two, or "doubling," while multiplying by one-half is equivalent to division by two, or "halving."
In measurements, recipes, equations, etc., one half is frequently used. One part of something that is divided into two equal pieces is said to be divided in half.
For instance, a triangle's S-area is calculated.
S = base / 2 * perpendicular height.
The typical decimal extension of one half is 0.5, and it frequently appears as 0.49999999. In any even base, it has a similar pair of expansions.
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how many integers must you pick in order to be sure that at least two of them have the same remainder when divided by 14?
Because of this, we need to choose 15 integers in such a way that we can ensure that when they are divided by 14, at least two of them will provide the same residual.
In order to be sure that at least two of them have the same remainder when divided by 14.
Generally, If you divide a number by 14, the result is a fraction. There are 14 remainders that might occur, and they are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, and, 13.
So if we pick a number and divide it by 14, the remainder can be one of 14 (0 memory 13). So if we select 14 numbers, we have the option to select 14 unique memories ranging from 0 to 13.
Finally, if we choose another integer, we will have the same reminders according to the drawer principle, because there are only 14 reminders and 15 > 14.
Therefore, we should choose the number of 15 so that at least two numbers have the same remainder when divided by 14.
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How do you draw a 1 1 scale bar?
To draw a figure with 1 : 1 scale, draw the the figure in actual size
The scale factor can be defined as the ratio between the original size of the figure and the new size of the figure.
While scale factoring the shape of the object will be same but the size changes
Here the given ratio = 1 : 1
The means the scale factor = 1/1
= 1
When the scale factor is equal to one, the the size of the original object and the size of the new object will be same
Therefore, 1 : 1 scale bar is the drawing with actual size of the object
I have solved the question in general, as the given question is incomplete
The complete question is
How do you draw a figure with 1 : 1 scale bar ?
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The value of the ratio of adults to children is 2/5. The ratio of adults to children is _____.
Ratio of adults to children is = 2:5
Whenever any integer fractional number is given for example if we consider any fraction number = [tex]\frac{a}{b}[/tex]
Ratios are represented with the symbol = ':'
This above fractional number could also be represented as ⇒ a:b
So, we conclude that the fractional signs are equal to the ratio sign
As in the case of the fraction [tex]\frac{2}{5}[/tex] given in the question, it can also be written as = 2:5 in the form of a ratio.
Therefore, the ratio of adults to children is ⇒ 2:5
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Answer: Ratio of adults to children is = 2:5
Step-by-step explanation:
Whenever any integer fractional number is given for example if we consider any fraction number =
Ratios are represented with the symbol = ':'
This above fractional number could also be represented as ⇒ a:b
So, we conclude that the fractional signs are equal to the ratio sign
As in the case of the fraction given in the question, it can also be written as = 2:5 in the form of a ratio.
Therefore, the ratio of adults to children is ⇒ 2:5
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the task of framing a building has been estimated to take an average of 25 days with a standard deviation of 4 days. what duration should be used if there is to be a 90% confidence that the duration will not be exceeded? what is the probability that the duration will actually exceed 23 days?
The required probability that the duration will actually exceed 23 days is 22.66%.
What is Probability distribution?A probability distribution is a factual capability that depicts every one of the potential qualities and probabilities for an irregular variable inside a given reach.
According to question:We have,
μ = 25, σ = 4,
For 90% confidence interval, Z = 1.645
Then,
Z =( x -μ )/σ =(x - 25)/4
1.645 = (x - 25)/4x
x = 4(1.645) + 25 = 31.58 days
when duration increase by 3 days
So, Z = 3/4 = 0.75
Probability = 22.66%
Thus, required probability is 22.66%.
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The organizers of a school playestimate that half the students who attend will bring an adult guest. If s represents the number of students expected to attend the play, which expression represents the total expected attendance
Answer: 1/2s + s = total expected attendance.
Step-by-step explanation: If s is the number of expected students and half of them are estimated to bring a guest than you would find half of s and add it to s to get the total expected attendance.
Latanya has $1.90 worth of nickels and dimes. She has a total of 24 nickels and dimes altogether. Determine the number of nickels and the number of dimes that Latanya has.
In total of 24 coins, Latanya has 10 nickels and 14 dimes altogether.
What is a function? What is equation modelling? What is a mathematical equation and expression?In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the functionEquation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Given is that Latanya has $1.90 worth of nickels and dimes. She has a total of 24 nickels and dimes altogether.
We can write the equation as -
(x/20) + (y/10) = 1.90
x + y = 24
Refer to the graph attached. On solving the equation graphically, we get-
x = 10, y = 14
Therefore, she has 10 nickels and 14 dimes in total.
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Write 14/5 as a mixed number
Answer:
2 4/5
Step-by-step explanation:
14 = 10 + 4
10/5 = 2
4/5
What does AAA mean in triangles?
Answer:
Angle, Angle, Angle.
Step-by-step explanation:
"AAA" means "Angle, Angle, Angle" "AAA" is when we know all three angles of a triangle, but no sides.
Answer:It means the three angles of a triangle.
Step-by-step explanation:"AAA" means "Angle, Angle, Angle" "AAA" is when we know all three angles of a triangle, but no sides.
(11-5)² + (15/3)
It’s 15 divided by 3
Help
Answer: 41
Step-by-step explanation: First, you subtract 11-5 to get 6 then you square 6 (2nd power) to get 6 x 6, which equals 36. Then, you divide 15 by 3 to get 5, then add, then you should get 41. I hoped this answered this question.
Answer:
41
Step-by-step explanation:
11-5 = 6 .
6 to the second power is 36.
15/3 =5
36+5=41
(11-5)² + 15/3
6. + 15/3
36 + 5. =41
Hope this helps!
correlation and regression are two closely related topics in statistics. for each of the following statements, indicate whether the statement is true of correlation, true of regression, true of both correlation and regression, or true of neither correlation nor regression.
Outliers can have an impact on correlation and regression, which may result in the calculation of inaccurate parameters.
Given that,
In statistics, correlation and regression are frequently used interchangeably.
Regression models the impact of one variable on another, whereas correlation assesses the strength of the link. The following is the solution:
Correlation
Correlation and Regression
Correlation
The degree and type of the association between variables, which cannot be deduced from the regression equation, can be determined using the correlation coefficient.
Both Outliers can have an impact on correlation and regression, which may result in the calculation of inaccurate parameters.
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