The equation of the perpendicular line in slope-intercept form is therefore y = -6x + 16.
To find the equation of the line perpendicular to x - 6y = 2 and passing through the point (2, 4), we first need to determine the slope of the given line. We can rearrange the equation into slope-intercept form, y = mx + b, by solving for y:
x - 6y = 2
-6y = -x + 2
y = (1/6)x - 1/3
The slope m of the given line is 1/6. The slope of the line perpendicular to it would be the negative reciprocal of 1/6, which is -6. Now, using the point (2, 4), we can substitute these values into the slope-intercept form and solve for y-intercept b:
4 = -6(2) + b
b = 4 + 12
b = 16
The equation of the perpendicular line in slope-intercept form is therefore y = -6x + 16.
every second a security camera turns 1° clockwise and takes a photograph. The camera does this for 75 seconds. What is the total measure, in degrees, of the angle tirned by the camera ?
60 POINTS which part of the skeleton helps produces cells
Ali has 2 vegetable pizzas that she cuts into eighths. how many 1/8 slices does she have
where does 1/8 and .25 go in the number line
Rewrite the expression as the product of two factors: 6m +8n +4
Of the 101 times I squirte with Dad with a hose last summer, the number of times I missed is 31 more than the number of times I got him wet. How many of the 101 squirts missed Dad?
After setting up the equation x + (x + 31) = 101, where 'x' is the number of times the student got dad wet, we find that x equals 35. This means the student hit dad 35 times and missed 66 times out of 101 squirts.
Explanation:To solve the question, we can use algebra to set up an equation. Let's define 'x' as the number of times the student got dad wet with the hose. According to the problem, the number of times the student missed is '31 more than the number of times they got dad wet', so we will express this as x + 31. Combined, the times the student hit dad and missed adds up to 101 squirts in total, which gives us the equation x + (x + 31) = 101.
To find out how many squirts missed dad, we need to solve the equation:
Combine like terms: 2x + 31 = 101Subtract 31 from both sides: 2x = 70Divide both sides by 2: x = 35This shows that the student got dad wet 35 times. To find the number of misses we take the total number of squirts (101) and subtract the number of hits (35), which leaves us with 66 misses.
Learn more about Algebraic Problem Solving here:https://brainly.com/question/30042644
#SPJ2
0.04 is 10 times as much as
If f(x)=5/2x+17, then find the value of f(12), f(-4), and f(0)
The function f(x) = 5/2x + 17 evaluated at the points 12, -4, and 0 yields values of 47, 7, and 17, respectively.
The student appears to be asking for the evaluation of a function f(x) at specific points, which is a common task in mathematics, specifically in algebra and pre-calculus courses. Assuming the correct function is indeed f(x) = 5/2x + 17, let's evaluate it at the requested points:
f(12) = (5/2) × (12) + 17f(-4) = (5/2) × (-4) + 17f(0) = (5/2) × (0) + 17By performing these calculations:
f(12) = 30 + 17 = 47f(-4) = -10 + 17 = 7f(0) = 0 + 17 = 17So the values of f(12), f(-4), and f(0) are 47, 7, and 17, respectively.
Holly earns $2 for each window she cleans. Write an equation to show the relationship between the number of windows she cleans,x.and the amount she earns y.
If the state sales tax rate is 8%, how much money will you need to purchase a pair of jeans costing $29.99 and a shirt costing $16.99?
A. $3.75
B. $3.76
C. $50.73
D. $50.74
$29,000 4%decrease
29,000•.04= 1160.00
29,000-1160.00=27,840
Find the missing factor: 5w=45
A square tile has an area of 49 square inches. What is the length of this tile?
The length of square tile is 7 inches
What is square?
A square is a four-sided polygon with sides that are all the same length and angles that are all exactly 90 degrees. The square's shape ensures that both parts are symmetrical if it is divided down the middle by a plane. The square is then divided in half, with the sides of each half being equal.
A square is simply a rectangle with an equal length and width. Since the length and width are equal, the area is still length x width, hence the correct formula is to find a number multiplied by itself that equals 49. 49 is a perfect square, so this is 7, because. If the number was challenging or you didn't know your squares, you could use your calculator to find 49.
Given: the area of square = 49 square inches
Formula used: area of square- side x side
Since,
area of square= side x side
=> area of square = side²
=> 49 = side² [ given: area of square= 49 ]
=> √ 49 = side [ by taking the square root both side]
=> 7 = side
since, the side of the square = length of the square
Length = 7 inches
So, the length of the square tile is 7 inches
To learn more about: area of square
Ref : https://brainly.com/question/14188562
#SPJ2
the morning tempature was -7C. By noon the tempature was 8C. how many degrees has the tampature risen
during a basketball game jorell attempted 40 shots and made 18.He says he made 40% of the shots he took.Is Jorell correct?
how do i round 4,719,429 to the nearest 10,000
stans steakhouse has a server to cook ratio of 5 to 2 the total number of servers and cooks is 42 how many servers does Stans steakhouse employ
The tallest man ever recorded was Robert Wadlow,who was 272 cm tall.The tallest women on record was Zeng jinlian?Her height was 91% of Wadlows's height.(Round to the nearest cm).
Zeng Jinlian was 91% of Robert Wadlow's 272 cm height, resulting in her being approximately 248 cm tall after rounding. Extreme heights can be caused by conditions related to the endocrine system.
Explanation:The student has asked how tall was Zeng Jinlian, knowing that she was 91% of the height of Robert Wadlow, who was 272 cm tall. To calculate Zeng Jinlian's height, we need to take 91% of Robert Wadlow's height.
First, convert 91% to a decimal: 91% = 0.91.Then, multiply Robert Wadlow's height by this decimal: 272 cm × 0.91 = 247.52 cm.Finally, round the result to the nearest centimeter: Zeng Jinlian was approximately 248 cm tall.Growth to such extreme heights is often due to conditions affecting the endocrine system. For example, a tumor in the pituitary gland can lead to an overproduction of growth hormone, causing conditions like gigantism or acromegaly.
At a summer camp the ratio of cabins to campers is 15 to 255 and equal number of campers are staying in each cabin how many campers are in each cabin
And an equation to 7*3.8
What is a Cartesian coordinate plane (math)
division problems with quotient 9 remainder 5
Mary has 95 apples. Distributing 9 apples per friend and keeping 5 for herself, the quotient is 9, and the remainder is 5. Mary has 10 friends.
Mary has 95 apples and wants to distribute them equally among her friends, giving each friend 9 apples. However, she decides to keep 5 apples for herself. This situation can be represented by a division problem with a quotient of 9 and a remainder of 5.
The division equation is expressed as[tex]\( D = (q \times d) + r \),[/tex] where \( D \) is the total number of apples (95), \( q \) is the quotient[tex](9 apples per friend), \( d \)[/tex] is the number of friends, and \( r \) is the remainder (5 apples Mary kept). Substituting the given values into the equation:
[tex]\[ 95 = (9 \times \text{number of friends}) + 5 \][/tex]
To find the number of friends, rearrange the equation:
[tex]\[ 90 = 9 \times \text{number of friends} \][/tex]
Solving for the number of friends:
[tex]\[ \text{Number of friends} = \frac{90}{9} = 10 \][/tex]
Therefore, Mary has 10 friends, and each friend receives 9 apples, with Mary keeping the remaining 5 for herself.
Learn more about remainder here:
https://brainly.com/question/29347810
#SPJ6
The probable question maybe:
Question: Mary has 95 apples. She wants to distribute them equally among her friends. If she gives each friend 9 apples and keeps the remaining 5 for herself, how many friends does Mary have?
Given statement: Division problem with quotient 9 and remainder 5.
A square has a perimiter of 36 millimeters, What is the area of the square?
PLZ
The City of Oz has to repaint its cylinder-shaped water tower. Only the top and sides need to be painted. If the water tower has a height of 60 feet and a radius of 20 feet, how many square feet must be painted? A) 400π ft2 B) 2400π ft2 Eliminate C) 2800π ft2 D) 4400π ft2
The formula for the area of the triangle is A = 1/2bh.
What is the length of the base, b, of a triangle with an area, A, of 110 m2 and a height, h, of 10 m?
The length of the base b of the triangle is 22 meters.
To find the length of the base b of a triangle when the area A and height h are known, we can rearrange the formula for the area of a triangle:
[tex]\[ A = \frac{1}{2}bh \][/tex]
We want to solve for b, so we can rewrite the formula as:
[tex]\[ b = \frac{2A}{h} \][/tex]
Now, we can substitute the given values into the formula:
[tex]\[ b = \frac{2 \times 110}{10} \\\[ b = \frac{220}{10} \][/tex]
b = 22
So, the length of the base b of the triangle is 22 meters.
A cell phone plan has a monthly cost that is shown in the table below. What is the correct statement regarding the average rate of change during the 40-minute time of talk?
A. The average rate of change is $1.00, meaning that for every ten minutes of talk time, the monthly bill increases by $1.00.
B. The average rate of change is $1.00, meaning that for each minute of talk time, the monthly bill increases by $0.10.
C. The average rate of change is $0.10, meaning that for every ten minutes of talk time, the bill increases by $0.10.
D. The average rate of change is $0.10, meaning that for each minute of talk time, the monthly bill increases by $0.10.
the sale tax rate in Jans town is 7.5% if she buys 3 lamps for $23.59 each and a sofa for $769.99, how much sales tax does she owe?
Answer:
She owes $63.06 in sales tax.
Step-by-step explanation:
Cost of Lamps =
23.59*3= $70.77
Sofa = $769.99
Add them
769.99+70.77
=840.76
Percentage
7.5/100 *840.76
= 63.057
She owes $63.057 to sales tax
If you need to round the answer of $63.057, it would be rounded to $63.06.
What is the probability of rolling a number greater than 7 on a 12 sided number cube
What digit can be in the ones place of a number that has 5 as a factor?
Daniel worked for 2 1/3 hours and earned $18.20, how much would he make if he worked for 5 1/4 hours?
To find out how much Daniel would make if he worked for 5 1/4 hours, divide his earnings in 2 1/3 hours by the number of hours worked. Multiply the hourly rate by 5 1/4 to calculate the total earnings.
Explanation:To find out how much Daniel would make if he worked for 5 1/4 hours, we need to determine his hourly rate first. We can do this by dividing the amount he earned in 2 1/3 hours ($18.20) by the number of hours he worked.
2 1/3 hours is equal to 7/3 hours. So, his hourly rate would be $18.20 / (7/3) hours.
To calculate how much he would make if he worked for 5 1/4 hours, we multiply his hourly rate by 5 1/4.
Let's perform the calculations: