The equation of the line passing through the points (−1, 2) and (4, 0) is given by ax + by = 16. What is the value of b?

Answers

Answer 1

Answer:

8/5

Step-by-step explanation:

Slope of the line = (-1-4)/(2-0)= -5/2

Equation of the line :

=> y - y1 = m(x - x1)

=> y - 0 = (-5/2)(x - 4)

=> 2(y - 0) = - 5x + 20

=> 2y + 5x = 20

To make the RHS 16, divide both sides by 20 and multiply by 16:

=> (2y/20)*16 + (5x/20)*16 = (20/20)*16

=> 8y/5 + 4x = 16

compare the equation with ax + by = 16 for y, b = 8/5


Related Questions

If I earned $15 babysitting, I would deposit (or add) $15 to the previous balance.

If I bought a new sweatshirt for $42.66, I would withdraw (or subtract) $42.66 from the previous balance.

If transferred $100, I would subtract $100 from the account it is leaving and add $100 to the account it is going to.

Answers

Answer:

57 dollars and 66 cents will be subtracted from the depositeand get the answer of 157.66

Step-by-step explanation:

Someone answer this please

Answers

Answer:

[tex] 1,334.5 \: {cm}^{3} [/tex]

Step-by-step explanation:

Height of the cylinder h = 17 cm

Radius of the cylinder r = 5 cm

[tex]V_{cylinder} = \pi {r}^{2} h \\ \\ = 3.14 \times {(5)}^{2} \times 17 \\ \\ = 3.14 \times 25 \times 17 \\ \\V_{cylinder} = 1,334.5 \: {cm}^{3} [/tex]

Help ME WITH THIS QUESTION THANKS !

Answers

Answer:

6 units

Step-by-step explanation:

9x - 4 = 2 ( 5x - 5 )

9x - 4 = 10x - 10

10x - 10 = 9x - 4

10x - 9x = - 4 + 10

x = 6

Five more than a number is greater than 26

Answers

x + 5 > 26
x > 21

The number is greater than 21
Here’s how you should write the equation: 5+x>26

Now solve for x. 26-5=21
X>21

someone plz help :(
i'm struggling heree

Answers

Answer:

39.96 in²

Step-by-step explanation:

10.8x3.7=39.96

Answer:

19.98

Step-by-step explanation:

area=½×base ×height

½×10.8×3.7

=19.98

Clare has $150 in her bank account. she buys a bike for $200. what is Clare's account balancenow?

Answers

Answer:

-50

Step-by-step explanation:

Answer:

Step-by-step explanation:

if she had $150 in he bank account and buys a bike that costs 200 she possibly can't afford it since she is $50 dollars short so even if she borrows $50 dollars she has to repay the person 50 dollars before she starts earning another money so i think it is -50. if it doesn't help am sorry I hope you got this answer correct. goodluck

9+2+4+6+123=?
please help

Answers

Answer:

144

Step-by-step explanation:

9+2+4+6+123=

11+10+123
21+123
144

In 1965, the population of a country was 192 thousand to 3 significant figures.

In 2020, the population of that country was 366 thousand to 3 significant figures.

Work out the percentage increase in population. Give your answer correct to 2 significant figures.

Answers

The percent change in population is 90.65%.

What is percent?

A percentage is a figure or ratio that can be stated as a fraction of 100. If we need to calculate the percentage of a number, we must divide it by its full value and then multiply it by 100. As a result, the percentage is one part in one hundred. "Per 100" is short for "per percent." It is represented by the symbol "%".

Given population of country in 1965 = 192 thousand = 1,92,000.

population of country in 2020 = 366 thousand = 3,66,000

the increase in population is = 366000 - 192000 = 1,74,000

the percentage increase =  (100)(increase in population)/(1965 population)

the percentage increase = (100) (174000)/(192000)

the percentage increase =  90.625%

Hence the percent increase is 90.62%.

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A social scientist would like to analyze the relationship between educational attainment (in years of higher education) and annual salary (in $1,000s). He collects data on 20 individuals. A portion of the data is as follows:
Salary Education
34 3
66 1
89 4
56 3
71 7
80 2
111 7
51 0
23 7
36 2
100 1
35 1
71 6
68 9
163 5
56 0
86 5
58 4
128 9
33 0
Salary Education
34 3
66 1
⋮ ⋮
33 0
a. Find the sample regression equation for the model: Salary = β0 + β1Education + ε. (Round answers to 2 decimal places.) Salaryˆ= + Education
b. Interpret the coefficient for Education.
As Education increases by 1 unit, an individual’s annual salary is predicted to increase by $4,690.
As Education increases by 1 unit, an individual’s annual salary is predicted to decrease by $4,690.
As Education increases by 1 unit, an individual’s annual salary is predicted to decrease by $8,590.
As Education increases by 1 unit, an individual’s annual salary is predicted to increase by $8,590.
c. What is the predicted salary for an individual who completed 7 years of higher education? (Round coefficient estimates to at least 4 decimal places and final answer to the nearest whole number.)
Salaryˆ $

Answers

Answer:

y = 4.69X + 52.93 ;

As Education increases by 1 unit, an individual’s annual salary is predicted to increase by $4,690. ;

$86000

Step-by-step explanation:

Given the data:

X:

34

66

89

56

71

80

111

51

23

36

100

35

71

68

163

56

86

58

128

33

Y:

3

1

4

3

7

2

7

0

7

2

1

1

6

9

5

0

5

4

9

0

The regression equation obtained using a linear regression calculator :

y = 4.689X + 52.93182

Where ;

y = Salary ; x = Educational attainment

Slope is the Coefficient of x = 4.689

Intercept = 52.93

The slope value in thousand = 4.689 * 1000 = 4689 = 4690 (the slope is interpreted to the mean the change in y value per unit change in the value of x)

Therefore, salary increases by about $4690 for every unit increase.

If x = 7

y = 4.689(7) + 52.93182

y = 32.823 + 52.93182

y = 85.7548

Salary =, $86,000

ratiearbiteracy
toen we zui
ii
Ghics12
The average inflation rates for the period 2016 to 2017 are shown in the following iable.
2017
1 2018
Average Inflation rate 4,51%
6,59%
Cost of a brown bread
R9.99
A
8.1.1
Explain the meaning of the term inflation rate.
8.1.1
Calculate the cost of a loaf of brown bread in 2017 by using the average
inflation rates that are given in the table above.
ON NO: 3
: MAPS AND SCALES
ensure Learners know the following:
IBER/RATIO SCALE​

Answers

Explanation

Sorry but You gone have to higher the price for this, this is a big question.

NEED HELP NOW!
Question 4(Multiple Choice Worth 5 points) (07.06A MC) What is the initial value of the function represented by this table?

Answers

i think the answer is b

Manuel will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $60 and costs an additional $0.60 per mile driven
The second plan has no initial fee but costs $0.80 per mile driven.
For what amount of driving do the two plans cost the
same?
miles
What is the cost when the two plans cost the same?
3

Answers

From the given values and conditions, We need to form a equations and equate both sides to solve for the miles, The answer is 300 miles.

What is a equation?

An equation is a statement of equality between two expressions. It typically includes numbers and mathematical operations such as addition, subtraction, multiplication, and division. For example, the equation 2x + 3 = 7 is a statement that the value of the expression 2x + 3 is equal to the value of 7. Equations can also include variables, which represent unknown values that can be solved for.

What is unitary method?

The unitary method is a method used in mathematics to solve problems involving units of measurement. It involves expressing the units of measurement as a fraction or multiple of a single unit and then using this fraction or multiple to solve the problem. The method is particularly useful in solving problems involving conversions between different units of measurement. The unitary method is particularly useful in solving word problems where the conversion of units is required. It involves expressing the given information in terms of a single unit and then using that information to find the unknown quantity.

x= miles

60+0.6x=0.8x

0.8x-0.6x=60

0.2x=60

x=60/0.2

=300 miles

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what fraction is 40 minutes of 8 hours

Answers

40 minutes of 8 hours as a fraction is 1/12.

What is fraction?

Fractions represent the parts of a whole or collection of objects. A fraction has two parts namely numerator (upper part) and denominator (lower part).

Given are 40 minutes to 8 hours.

We can write -

(40 minutes/8 hours)

{40 minutes/(8 x 60)}

(40/480)

1/12

Therefore, 40 minutes of 8 hours as a fraction is 1/12.

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Write a fraction that is equivalent to 5/6

Answers

Answer:

10/12 , 15/18 , 20/24 ...etc

Is it true that congruent figures have the same shape and the same size?

TRUE OR FALSE?
22 POINTS BTW!!​

Answers

Answer:

yahh

Step-by-step explanation:

thats true

i know its help

Answer:

True

Step-by-step explanation:

Two congruent figures have the same shape and size.

Me jay bought a television for 9560, he used it for some years and later sold it at a profit of 1439. Find his selling price

Answers

Answer:

10999

Step-by-step explanation:

9560 + 1439 = 10999

Thenks and mark me brainliest :)

I need help with these

Answers

Answer:

1. − 5/4

2. 77/3

Step-by-step explanation:

SO SORRY IF THIS IS WRONG!! T^T

Calculate the perimeter of a square with side 12cm

Answers

Answer: 48 cm

Step-by-step explanation:

12 + 12 + 12 + 12 = 48

The answer is 48 bc 12x4 equals 48

What is the circumference of the circle that has a radius of 8.6mm?

Answers

It depends on what ur question is but the circumference will be around 54.04 because 2xpix8.6

Khan Academy math question

Answers

Answer:

the answer is 0 you're welcome bye

3. (05.06 MC)
Graph the system of Inequalities presented here on your own paper, then use your graph to answer the following questions:
y < 4x – 2
y>5/2x-2 (should be the greater than or equal to sign)
Part A: Describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution area. (6 points)
Part B: Is the point (-2,-2) Included in the solution area for the system? Justify your answer mathematically. (4 points)
(10 points)

Answers

9514 1404 393

Answer:

  A) The first inequality has a dashed boundary line with a slope of 4 and a y-intercept of -2. The shading is below the line. The second inequality has a solid boundary line with a slope of 5/2 and a y-intercept of -2. The shading is above the line. The solution space is a narrow wedge extending up and to the right of the y-intercepts at (0, -2) through the fourth quadrant into the first quadrant.

  B) Not in the solution space. The point does not satisfy y < 4(-2) -2 because -2 is not less than -10.

Step-by-step explanation:

Part A:

The boundary line of each inequality is in slope-intercept form, so can be drawn easily by finding points with the appropriate slope=rise/run from the common y-intercept at (0, -2).

The first inequality does not include the "or equal to" case, so the boundary line will be dashed. The relation of y and the inequality symbol is y < ( ), so the shading will be below the line, where y-values are less than those on the line.

The second inequality includes the "or equal to" case, so the boundary line is solid. The relation of y and the inequality symbol is y ≥ ( ), so the shading will be above the line, where y-values are greater than those on the line.

The two shaded areas overlap in a narrow wedge between lines with slope 2.5 and 4. The lower-left point of the wedge is the common y-intercept at (0, -2). It extends through the fourth quadrant into the first quadrant. This wedge is the solution area.

__

Part B:

Based on the above description, no part of the solution space is in the third quadrant, where the point (-2, -2) lies. The point is not in the solution space. It does not satisfy the first inequality:

  [tex]-2\nless(4)(-2)-2=-10[/tex]

In a equation is it true that when a variable is alone you have to add a number 1 to it?

I’m wondering since I have to add it to my notes.

Answers

You don’t necessarily have to add a one to it, the one just signifies that there is one of that there, but if you just put the variable that will also mean that you just have one of that. It works either way

Please help me. It would be greatly appreciated

Answers

Answer:

11a) x=18

11b) 6x=108

11c) 4x=72

Step-by-step explanation:

11a) A line is equal to 180 degrees. Therefore, 6x and 4x have to add up to be 180.

6x+4x=180

10x=180

x=18

11b) We know what x is so we have to plug x into the expression. 6x=6(18)=108. 6x=108

11c) We know what x is so we have to plug x into the expression 4x=4(18)=72

4x=72.

If this helps please mark as brainliest

The ratio of sweaters to dresses that Susan has is 7:2. If Susan has 14 dresses then how many sweaters does she have?

Answers

Answer:

4 sweaters

Step-by-step explanation:

If the ratio is 7:2, then 14//7 = 2

2x2=4

10,14,18,22,26 find the 12 term of the sequence​

Answers

Answer:

30,34,38,42,46,50,54,58,62,66,70

The proportional relationship between the
number of inches a candle has burned away, b, at
any time in hours, t, can be represented by the
equation b = 0.75t. At what rate does the
candle burn, in inches per hour?

Answers

Candles should burn one hour for every 1 inch in diameter of the actual candle size. For example, a candle that is 2 inches across should burn for 2 hours.

At what rate does then candle burn, in inches per hour?

Smaller candles with smaller wicks will burn at a rate of 7 to 9 hours per 28 g of wax used. Larger candles with larger wicks consume wax at a faster rate. The larger wicks can be expected to yield 5 to 7 hours per 28 g of wax used.

Estimate the total number of burns by dividing the total wax weight used in the candle (not the weight of the candle with container) by the amount of wax used from burning the candle. Finally, multiply the estimated total burns by the burn time hours. This will provide an estimate of the candle's burn time.

The two main factors for burning candles is wick size and type of wax. Wider or thicker wicks will burn much faster than thin ones, and the material the wick is made with can also make an impact. Different types of candle wax burn at different temperatures.

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The sum of two numbers is -3, and their difference is 25. Find the numbers.

Answers

are u sure you typed it out right?

Find the equation of the straight line passing through the point (3, 5)
which is perpendicular to the line
y = 3x + 2

Answers

Answer:

y = -1/3x + 6

Step-by-step explanation:

the slope is -1/3 because you find the the reciprocal and switch the sign. To find the y intercept you plug in the points to the equation.

5 = -1/3(3) + b

5 = -1 + b

6 = b

Relay Race Results
10. The table shows the time each
member of two relay teams took
to complete her leg of a relay race.
Team II won the race by 2 s. How
many seconds did Trina take to
run her leg of the race?
Leg
1
Team 1
Name
Time (s)
Ali
22
Bryn 25
Mai
23
Team II
Name
Time (s)
Lea
23
Niki
22
Trina
2
3
4
Tara
21
Sara
20

Answers

93

because if the team second wones the match with two points then the answer will be 93

[tex]if \: x = 1 - \sin( \alpha ) \: and \: y = 1 + \cos( \alpha ) \\ [/tex]
Express y in terms of x and alpha only

Answers

Answer:

A sample of helium was compressed at 35 °C from a volume of 0.5 L

to 0.25 L where the pressure is 500 mmHg. What was the original pressure?

Step-by-step explanation:

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