In any group of 6 people there always at least 3 people who either all know one-another or all are strangers to one-another.
The Pigeonhole principle states that if n items are put into m containers, with n > m, then at least one container must contain more than one item.
The Pigeonhole principle applies because every person is related to every other person in two ways, either they know the person or they do not.
Given that there is a group of 6 people.
Let us say A,B,C,D,E,F.
Suppose that A has at least three friends. If any two of these three are friends with each other, then together with A, they are a group of three mutual friends. If none of these are friends with each other, then they are a group of three mutual strangers to themselves.
On the other hand, A has fewer than three friends among the other five people, then there must be at least three that are strangers to A. If any two of these are strangers, then together with A, they are a group of three strangers. If none of them are strangers to each other, then they are a group of at least three mutual friends.
Hence it is proved that, in any group of 6 people there are always at least 3 people who either all know one-another or all are strangers to one-another.
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if the model of this population began in 1980 when will the population be growing most rapidly( to the nearest year)?
The population of the city grew most rapidly in the year 1988.
Given, the population of a city is modeled by a function
P(t) = 250/(1 + 480e^-0.8t)
we have to find that when the population is growing most rapidly.
On differentiating, we get
P'(t) = 250/(1 + 480e^-0.8t)²×(-384e^-0.8t)
Again differentiating we get
P''(t) = 96000(e^-1.6t)(-0.8e^-0.8 + 384)
Putting P''(t) = 0, we get
e^0.8t = 0
t = 8
So, the population of the city grew most rapidly in the year (1980 + 8) = 1988.
Hence, the population of the city grew most rapidly in the year 1988.
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A cashier has 35 coins consisting of nickels, dimes, and quarters with a value of $5.40. If the number of dimes is 1 less than twice the number of nickels, how many of each type of coin does she have?
There are 7nickels, 13dimes and 15quarters of coins which the Cashier has using algebra.
How to calculate for each number of coins.We first represent the the value of nickels with an unknown value x, and then the values of dimes and quarters in are expressed in terms of x. then multiply each derived number of coins with their value in cents and equate them to their total of 540cents converted from $5.40.
A nickel = 5cents, a dime = 10cents, a quarter = 25cents and $5.40 = 540cents
Let the number of nickel coins be represented by x, hence there are (2x - 1) dimes and (36 - 3x) quarters.
Thus we have;
x nickel = 5x cents
(2x - 1) dimes = 10(2x - 1)cents
(36 - 3x) quarters = 25(36 - 3x)cents
5x + 10(2x - 1) + 25(36 - 3x) = 540
5x + 20x - 10 + 900 - 75x = 540 {collect like terms}
75x - 25x = 350
50x = 350
x = 350/50
x = 7
Therefore, there are 7nickels, [2(7) - 1] = 13dimes, and [36 - 3(7)] = 15quarters by substituting 7 for x from our derived value of coins
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What is the magnitude of 3 4j?.
The magnitude of 3 4j is 5. This is because the magnitude of any complex number in the form a + bi is the square root of (a² + b²). In this case, a is 3 and b is 4, and the square root of (3² + 4²) is 5.
The magnitude of a complex number is the length of a line from the origin to the point on the complex plane that represents the number. The magnitude of 3 4j can be calculated using the Pythagorean theorem.
Using the theorem, the magnitude of 3 4j is 5. This is because 3 and 4 are the lengths of the sides of a right triangle and 5 is the length of the hypotenuse. The equation to calculate the magnitude of 3 4j is the square root of 3 squared plus 4 squared. This is written as the square root of (3² + 4²) = 5.
The magnitude of 3 4j is 5. This is because the magnitude of any complex number in the form a + bi is the square root of (a^2 + b^2). In this case, a is 3 and b is 4, and the square root of (3^2 + 4^2) is 5. This means that the magnitude of 3 4j is 5.
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How do you know how many solutions a linear system has?.
solution of the linear system depends upon the slope of the line and it is different in different situations
How can you tell how many solutions a linear equation has?
If the slopes are the same but the y-intercepts are different, the system has no solution. If the slopes are different, the system has one solution. If the slopes are the same and the y-intercepts are the same, the system has infinitely many solutions.
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What is the unit digit in 3 65 times6 59 times7 71 ))?.
4 is the unit digit in product .
What do Units digits mean?
The digit that goes in the place of one in a number is known as the units digit. It is the number's last digit on the right, for example.For instance, the units digit for 243 is 3 and for 39 it is 9.The Unit Place Digit refers to the digit placed in the one's position of the particular number.Unit digit in 3⁴ = 1
Unit digit in( 3⁴)¹⁶ = 1
Unit digit in 3⁶⁵ = Unit digit in( 3⁴)¹⁶ = 1 * 3 = 3
Unit digit in 6⁵⁹ = 6
Unit digit in 7⁴ = 1
Unit digit in (7⁴)¹⁷ = 1
Unit digit in 7⁷¹ = Unit digit in (7⁴)¹⁷ * 7³ = 1 * 3 = 3
Required digit= Unit digit in ( 3 * 6 * 3 ) = 4
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The complete question is -
What is the unit digit in the product (3⁶⁵ * 6⁵⁹ * 7⁷¹ ) = ?
Solve the equation please!!!!!
Answer:
x = 4 ; y = 12
Step-by-step explanation:
y = 3x
5x - 3x = 8
2x = 8
2/2 x = 8/2
x = 4
y = 3(4)
y = 12
what is the equation for the regression line that predicts home equity using credit score as the explanatory variable?
The regression line that forecasts home equity using the FICO credit score as the explanatory variable has the equation Y' = 1798X + 0.
Due to the fact that this linear regression model includes two parameters that need to be estimated from training data, it has two degrees of freedom. One additional column in the data (one additional input variable) would provide the model one extra degree of freedom.
An equation of the form Y = a + bX, where X is the explanatory variable and Y is the dependent variable, represents a linear regression line. A line's intercept (the value of y when x = 0) is equal to the slope of the line, which is b.
Hence we get the required answer.
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The triangle is 7/8 ft high and its basis 2/3 ft long what is its area
Answer:
7/24 ft
Step-by-step explanation:
Triangle area is 1/2(b)(h) so we fill it in
1/2(7/8)(2/3)
1/2(14/24)
14/48
7/24
Hopes this helps please mark brainliest
rank these forces (a through f) on the basis of the magnitude of the torque they apply to the wrench, measured about an axis centered on the bolt.
D > B=E > F > A > C
The ranking is like, D (next to the end of the wrench, B=E (middle of the wrench), F next to the top of the wrench, A (top of the wrench), C (bottom of the wrench)
Given,
Forces;
D > B=E > F > A > C
We have to rank these forces (a through f) on the basis of the magnitude of the torque they apply to the wrench, measured about an axis centered on the bolt
Magnitude of torque;
The ratio of the force's and the lever arm's magnitudes yields the torque's magnitude. Force has a dimensional formula of [M1L1T2], whereas a lever arm has [L]. Consequently, [M1L2T]2 is the dimensional formula for torque.
Here,
The ranking is;
D (next to the end of the wrench, B=E (middle of the wrench), F next to the top of the wrench, A (top of the wrench), C (bottom of the wrench)
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Point DD is located at (2,1)(2,1) on the coordinate plane. Point DD is reflected over the yy-axis to create point D'D ′ . Point D'D ′ is then reflected over the xx-axis to create point D''D ′′ . What ordered pair describes the location of D''?D ′′ ?
Answer: (-2,-1)
Step-by-step explanation: First, plot the point. Then you go to the left 4 times. Then you plot your new point. Then go down 2 times. Plot your final point.
For this question, choose TWO answers. Which of the following are geometric sequences with a common ratio of 2?
A).an = an-1 + 2, where a 1 = 3
B). f(n) = 5 ∙ 2n, where n = 1, 2, 3, …
C)0.0.0625, 0.125, 0.25, 0.5, 1, …
D).an = 1/2 x an- 1, where a 1 = 2
E).–5,–3, –1, 1, 3, …
Answer:
A and E
Step-by-step explanation:
The geometric series which has the common ratio 2 is 0.0625, 0.125, 0.25, 0.5, 1, … thus option (C) is correct.
What is geometrical progression series?A geometric progression is a sequence in which any element after the first is obtained by multiplying the previous element by a constant which is called a common ratio denoted by r.
For example, the sequence 1, 4, 16, 64,… is a geometric sequence with a common ratio of r = 4.
As per the given,
Common ratio r = 2
Common ratio = next term / previous term
In the series 0.0625, 0.125, 0.25, 0.5, 1, … the common ratio is 2.
In the series [tex]a_{n}[/tex] = (1/2) × [tex]a_{n-1}[/tex]
a₁ = 2 so
a₂ = (1/2)a₁ 1
The ratio is 1/2, not 2.
Hence "The geometric series which has the common ratio 2 is 0.0625, 0.125, 0.25, 0.5, 1, …".
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Choose a set of transformations that you can use to show that 1 is congruent to 8 HELP!
The transformations is rotate 180° and translate down.
Transformations:
Transformations can be non-rigid (when the preimage's size or shape is unaltered) or stiff (where the size is changed but the shape remains the same). These are the fundamental guidelines that this concept abides by. It is a straightforward approach to alter 2D forms. Planar transformations and spaces can be distinguished from one another using the dimensions of the operand sets. Their characteristics can also be used to classify them.The image of a shape will resemble the pre-image when its size is increased or decreased. The dimensions of the comparable figures are proportionately equal.
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The creation of anxiety to decrease maladaptive behavior occurs in _____ therapy; the induction of relaxation to increase an adaptive behavior occurs in _____.
The creation of anxiety to decrease maladaptive behavior occurs in Aversion therapy; the induction of relaxation to increase an adaptive behavior occurs in Systematic desensitization.
Given,
In the question:
The question is based on fill in the blanks:
The creation of anxiety to decrease maladaptive behavior occurs in _____ therapy; the induction of relaxation to increase an adaptive behavior occurs in _____.
Let's Know:
Maladaptive Behaviour:
Maladaptive behaviors are things that you do that may shield you from changing in accordance with circumstances. Frequently found in those with social nervousness issue (SAD), maladaptive behaviors are utilized to attempt and lessen tension and dread at the time. You may accidentally build up these propensities to adapt in social and execution circumstances since it feels like they are helping you deal with your anxiety.
Now, According to the question:
The creation of anxiety to decrease maladaptive behavior occurs in _____ therapy; the induction of relaxation to increase an adaptive behavior occurs in _____.
Hence, In the first fill up :
The answer is Aversion.
In the second fill up:
The answer is Systematic desensitization.
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MAJOR HELP !!!!! in a butcher shop, each slab of beef weighs6^7 pounds. if there are 6^3 containers filled with beef, how much does all the beef weigh ? Keep your answer in a^b form.
The weight of each beef will be 6⁴
What is an exponent?An exponent is the number of times that a number is multiplied by itself. It should be noted that the power is an expression which shows the multiplication for the same number. For example, in 6⁴ , 4 is the exponent and 6⁴ is called 6 raise to the power of 4.
From the information, in a butcher shop, each slab of beef weighs 6^7 pounds and there are 6^3 containers filled with beef, the weight of each beef will be:
= Total pounds / Container
= 6^7 / 6^3.
= 6^(7 - 3).
= 6^4
The weight is 6⁴.
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In a two-tailed hypothesis test, the area in each tail corresponding to the critical values is equal to.
Answer:
The equality sign should be present in the null hypothesis during hypothesis testing. In a two-tailed hypothesis test, the rejection region's area in each tail is equal to [tex]\alpha[/tex]. If you choose an alpha of 0.01 then beta will equal 0.99
neptunium-239 has a half-life of 2.35 days. how many days must elapse for a sample of 239np to decay to 0.0100% of its original quantity?
The days that must elapse for a sample of neptunium-239 to decay to 0.0100% of its original quantity is calculated to be 31.33
The equation for radioactive decay in this case can be given as
N = N₀exp(-λt)
To determine the decay constant, λ, we have;
λ = -(lnN/N₀)/t
here
t illustrates the half-life of Neptunium-239 which is equal to 2.35 days
N/N₀ = 1/2 where N represents the Quantity of Neptunium-239 after half-life and N₀ represents the initial quantity of Neptunium-239
Therefore, λ = -(ln(1/2)) ÷ 2.35
λ = 0.294/day.
Now for Neptunium-239 to decay to 0.0100 % of its initial value,
N/N₀ × 100 % = 0.0100%
N/N₀ = 0.0100 / 100
N/N₀ = 0.0001
From the equation for radioactive decay, we determine the time it takes for 239np to decay to this value as follows;
t = -(lnN/N₀)/λ = -(ln(0.0001))/0.294/day = 31.33 days
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Charlotte is visiting brazil and is looking at souvenirs to purchase. She finds a jersey that costs 137 brazilian real. If the current exchange rate is 1 dollar:5. 43 brazilian real, how much does the jersey cost in u. S. Dollars?.
The cost of the jersey that Charlotte wanted to buy who is visiting to Brazil, in U.S. dollars based on the exchange rate is $16.39.
What is the exchange rate?
The exchange rate is the rate at which two nations currencies are exchanged in the foreign exchange market.
The exchange rate depends on the purchasing power of each currency.
Data and Calculations are as follows :
Cost of jersey = Br. 89
Exchange rate = $1 : Br. 5.43
Cost of jersey in US dollars = $ (Br. 89/Br. 5.43)
Thus, the cost of the jersey that Charlotte in U.S. dollars based on the exchange rate is B. $16.39.
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What are the 5 rules of congruence?.
Two shapes of the same size and shape are congruent. There are five conditions or rules for two triangles to be congruent. They are SSS, SAS, ASA, AAS, and RHS joint properties.
Triangle Congruence:
The congruence of two or more triangles depends on the measurements of their sides and angles. The three sides of a triangle determine its size, and its three angles determine its shape.
Two triangles are considered congruent if their pairs of corresponding sides and corresponding angles are equal.
SSS (side-side-side) :
According to this criterion, two triangles are congruent if his three sides of one triangle are equal to the corresponding sides of the other triangle.
ASA ( Angle-Side-Angle ) :
According to the ASA criterion, two triangles are congruent if any two angles and the inner side of one triangle between them are equal to the corresponding angles and inner sides of the other triangle.
SAS (Side Angle Side)
According to this criterion, two triangles are congruent if two sides and included angles of one triangle are equal to the corresponding sides and included angles of the other corresponding triangle.
AAS ( Angle - Angle Side) :
According to the AAS standard, two triangles are congruent if any two angles and the excluded side of one triangle are equal to the corresponding angles and the excluded side of the other triangle
RHS (Right Angle Two-sided)
According to this criterion, two triangles are congruent if the hypotenuse and side of one right triangle are equal to the hypotenuse and corresponding side of another right triangle.
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he scatterplots below show the relationship between height, diameter, and volume of timber in 31 felled black cherry trees. The diameter of the tree is measured 4.5 feet above the ground.17Suppose you have height and diameter measurements for another black cherry tree. Which of these variables would be preferable to use to predict the volume of timber in this tree using a simple linear regression model? Explain your reasoning.
The variable that is used to predict the volume of timber in this tree using a simple linear regression model is Diameter .
In the question ,
a scatter plot is given ,
the scatter plot shows the relationship between height , diameter and the volume .
and diameter of tree is measured 4.5 feet above the ground .
it is given that suppose , we have height and diameter measurements for another black cherry tree ,
we have to find the variable that help in predicting the volume of the timber .
So , from the scatter plot given below ,
we can say that , the relationship between diameter and volume of these trees is strong than height .
So , diameter is used to predict the volume of timber in this tree using a linear regression model.
Therefore , the variable that help in predicting the volume of the timber is Diameter .
The given question is incomplete , the complete question is
The scatterplots below show the relationship between height, diameter, and volume of timber in 31 felled black cherry trees. The diameter of the tree is measured 4.5 feet above the ground .
Suppose you have height and diameter measurements for another black cherry tree. Which of these variables would be preferable to use to predict the volume of timber in this tree using a simple linear regression model ? Explain your reasoning.
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MEASUREMENT
Paula stands on the side of a river and sights the opposite bank at an angle of depression of 7°. If Paula is 5. 5 feet tall,
approximately how wide is the river, to the nearest foot?
Answer:
45
Step-by-step explanation:
Based on the given conditions, formulate: [tex]5.5\div\text{tan}7^o[/tex]
Calculate the approximate value: [tex]\frac{5.5}{0.122785}[/tex]
Calculate: [tex]44.793745[/tex]
Find the closest integer: 45
Answer: 45
fail 59 45 67 after running an independence test, can it be concluded that pass/fail rates are dependent on school?
The correct option is B
No, it cannot be concluded that pass/fail rates are dependent on school because the p-value = 0.9373.
What is meant by an alternative hypothesis?In statistical hypothesis testing, the alternative hypothesis is one of the suggested propositions in the hypothesis test. In general, the purpose of a hypothesis test is to demonstrate that, under the given conditions, there is sufficient evidence to support the believability of an alternate hypothesis rather than the test's exclusive statement (null hypothesis). Because it is based on a review of the literature and previous studies, it is usually congruent with the research hypothesis.
Null hypothesis : H₀ : pass/fail rates are independent on school
Alternative Hypothesis : H₁: pass/fail rates are dependent on school
Test Statistic is,
x²stat=∑(O-E)²/E
Here O is the observed frequency and E is the Expected frequency.
E=(Row total× Column total)/Grand total
O E O-E (O-E)² (O-E)² /E
40 41.4184 -1.4184 2.-118 0.0486
33 32.6327 0.3673 0.1349 0.0041
50 48.9490 1.0510 1.1046 0.0226
59 57.5816 1.4184 2.0118 0.0349
45 45.3673 -0.3673 0.1349 0.0030
67 68.0510 -1.0510 1.1046 0.0162
Total=0.1294
Degrees of freedom=(Number of rows-1)×(Number of columns-1)
=(2-1)×(3-1)
=2
p-value=P(x²>x²stat)=P(x²>0.1294)
For 3 degrees of freedom,
P(x²>0.1294)=0.9373
Level of significance α=0.10
As p-value is 0.9373>α:0.10
Fail to reject the null hypothesis.
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Which represents the equation of a side that is perpendicular to side s? y = negative x + 9 y = negative x + 5 y = x + 9 y = x + 3.
The correct option; y = negative x + 5 is the a side perpendicular to side s's equation.
Define the term slope of the line?The steepness or incline of either a line is determined using the slope formula. The slope of such lines is determined using the x or y coordinates of a lines.It is the proportion of the y-change axis's to the x-change. axis'sUsing (4,1) as the line s's coordinate, and (1,4).
Obtain this line's equation;
Slope m = 4 - 1 / 1 - 4
Slope m = 3/-3
m = -1
Using, y - y0 = m(x - x0)
Add any point, like (4, 1), and m = -1 to the equation above;
y - 1 = -1(x - 4)
y - 1 = -x + 4
y + x = 4 + 1
y + x = 5
y = -x + 5
Thus, y = negative x + 5 is the a side perpendicular to side s's equation.
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Find the value of K so that the point lies on the locus 4x-Ky=2.
Answer: Ky-4x=2
Step-by-step explanation:
A population of insects increases at a rate of 290+8t+0.6t2 insects per day.
Find the insect population after 5 days, assuming that there are 70 insects at t=0. Round your answer to the nearest whole number.
The insect population after five days is 1645 in population of insects increases at a rate of 290+8t+0.6t2 insects per day.
A total of 290+8t+0.6t2 insects are added to the insect population per day. If there are P insects in the population,
then dP/dt = 290 + 8 + 0.6
since there are P insects at t=0, then
[tex]\int\limits^5_0[/tex][tex]{dP = (290 + 8 + 0.6) (290+8t+0.6t2)dt}[/tex] [after 5 days]
P(5) -V(0) = 290(5)+ 4t2 + t3/5)
P= 290t + 4t2 + t3/5) (5)
Insects: 2+ (5) 3/5 - 200 (0) + 5 (0) - 2+ (0) 3/5 P(5) - 70
= 1450 + 100 + 25-0 P(5)
= 70 + 1575 P(5) = 1645.
In the same way that geometry is the study of shape and algebra is the study of generalizations of arithmetic operations, calculus, also known as infinitesimal calculus or "the calculus of infinitesimals," is the study of continuous change in mathematics.
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bethany and joseph are preparing budgets for a new product as well as finalizing plans for the full-scale marketing and manufacturing of the new utilibot. they are in the phase of the new-product development process.
The answer for the given statement is commercialization. Bethany and Joseph are in the commercialization phase of the new-product development process, since they are preparing budgets for a new product as well as finalizing plans for the full-scale marketing and manufacturing of the new UtiliBot.
What is Commercialization?Commercialization is the process of carrying new products or services to the market. Commercialization needs a correctly-developed three-tiered product roll-out and marketing strategy, which includes the ideation phase, the business process, and the stakeholder stage. The launch or commercialization of a new product is contemplated the final stage of new product development (NPD). Commercialization consists of stages such as production, distribution, marketing, sales, and customer support.
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What is the X intercept of X 3y =- 3?.
The x-intercept is ( 3,0) and The y-intercept is ( 0, -1)
Why does x-intercept matter?
The points where a line crosses an axis are known as the x-intercept and the y-intercept, respectively.
-x + 3y = -3 is a linear equation in standard form:.
X-intercept: value of x when y = 0
Substitute 0 for y and solve for x.
-x + 3 * 0 = -3
-x = -3
x = 3
The x-intercept is (3,0)
Y-intercept: value of y when x = 0
Substitute 0 for x and solve for y.
0 + 3y = -3
3y = -3
y = -1
The y-intercept is ( 0,-1)
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The complete question is -
What is the X intercept of -x + 3y = -3?.
For questions 1 - 3, the polar coordinates of a point are given. find the rectangular coordinates of each point
The rectangular coordinates of each point is (5/2,5√3/2).
Given:
For questions 1 - 3, the polar coordinates of a point are given. find the rectangular coordinates of each point:
(5,π/3)
we know that,
x = r cosθ
y = r sinθ
r = 5, θ=π/3
x = 5 cos(π/3)
= 5*1/2
= 5/2
y = 5 sin(π/3)
= 5*√3/2
= 5√3/2
Therefore The rectangular coordinates of each point is (5/2,5√3/2).
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Full question:
For questions 1 - 3, the polar coordinates of a point are given. find the rectangular coordinates of each point
(5,π/3)
gardeners on the west coast of the united states are investigating the difference in survival rates of two flowering plants in drought climates. plant a has a survival rate of 0.67 and plant b has a survival rate of 0.48. the standard error of the difference in proportions is 0.097. which of the following is the margin of error for a 99% confidence interval?
The 99% confidence interval would be given (0.04;0.46).
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
pA represent the real population proportion A
^pA = 0.67 represent the estimated proportion A
pB represent the real population proportion B
^pB = 0.48 represent the estimated proportion B
z represent the critical value for the margin of error
The population proportion have the following distribution
p ~ N(p,√p(1-p)/n
The confidence interval for the difference of two proportions would be given by this formula
(^pA - ^pB) ± zα/2 √^pA(1-^pA)/nA + ^pB(1-^pB)/nB
For the 99% confidence interval the value of α = 1-0.99 = 0.01 and α/2 = 0.005 , with that value we can find the quantile required for the interval in the normal standard distribution.
zα/2 = 2.576
The standard error is given by:
= 0.084
And replacing into the confidence interval formula we got:
(0.67-0.42) - 2.576(0.084) = 0.04
(0.67-0.42) + 2.576(0.084) = 0.46
And the 99% confidence interval would be given (0.04;0.46).
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match the vocabulary to the proper definition. 1 . improper fraction a number that divides evenly into a given number 2 . coefficient expressions, equations, and operations involving variables 3 . algebraic the bottom part of a fraction; represents the whole 4 . denominator a fraction with a numerator that is larger than or equal to the denominator 5 . factor the number in an algebraic term
The matching vocabularies are;
1. Factor
2. Algebraic
3. Denominator
4. Improper fraction
5. Coefficient
Given,
1. A number that divides evenly into a given number
2. Expressions, equations, and operations involving variables
3. The bottom part of a fraction, represents the whole
4. A fraction with a numerator that is larger than or equal to the denominator
5. The number in an algebraic term improper fraction
We have to match the vocabulary to the proper definition;
Here,
1. A number that divides evenly into a given number - Factor
2. Expressions, equations, and operations involving variables -Algebraic
3. The bottom part of a fraction, represents the whole - Denominator
4. A fraction with a numerator that is larger than or equal to the denominator - Improper fraction
5. The number in an algebraic term - Coefficient
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What is the slope of a line perpendicular to the line whose equation is 10x-12y=-24.
The slope of a line perpendicular to the line whose equation is 10x - 12y = -24 is 5/6
Given equation,
10x - 12y = -24
This line's parallel has the same slope as this line. Solve for y to alter the equation in order to calculate the slope.
y = mx + b
Where m is the slope and b is the y-intercept.
From the given equation,
10x - 12y = -24
-12y = -10x - 24
y = -10x/-12 + 24/12
y = 5x/6 + 2
Therefore, m = 5/6
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