Answers
=========
Write an equation for line passing through (8,12) that is perpendicular to
y = (4/3)x - 5
Note:
When two lines are perpendicular, the product of their slopes is -1.
The slope of the given line is 4/3.
Therefore the slope of the perpendicular line is -3/4.
Let the equation of the perpendicular line be
y = -(3/4)x + c
Because the line passes through (8,12), therefore
-(3/4)*8 + c = 12
-6 + c = 12
c = 18
The equation is y = -(3/4)x +18
Answer: [tex]y= -\frac{3}{4} x + 18[/tex]
Problem 2
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Write an equation for a line passing through (-30,7) that is perpendicular to
y = -3x - 5.
The perpendicular line will have a slope of 1/3. Let its equation be
y = (1/3)x + c
Because the line passes through (-30,7), therefore
(1/3)*(-30) + c = 7
-10 + c = 7
c = 17
The equation is y = (1/3)x + 17
Answer: [tex]y = \frac{1}{3} x + 17[/tex]
Related Questions
40 POINTS!!!!! A submarine descends to 1/6 of its maximum depth. Then it descends another 2/3 of its maximum depth. If it is now at 650 feet below sea level, what is its maximum depth? Show your work.
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Answer:
The maximum is 780.
Step-by-step explanation:
1/6x+2/3x=650
Which is: 1/6x+4/6x=650
5/6x=650
5/6x÷5/6=650÷5/6
x=650 × 6/5
x= 780
The maximum depth the submarine descends to is; 780 ft
Let the maximum depth be x.It descends to 1/6 of max depth = (1/6)x
It descends another 2/3 of max depth = (2/3)x
After descending the depths above, it is now 650 ft below sea level. Thus;(1/6)x + (2/3)x = 650
x(1/6 + ⅔) = 650
x(5/6) = 650
x = 6 × 650/5
x = 780 ft
In conclusion, the maximum depth is 780 ft.Read more about depth below sea level at; https://brainly.com/question/25823081
A rhombus has a side length of 6 units what is it’s perimeter
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Help please practical math
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The second option would be correct as the sales in January and June were both at $240,000, based of the graph.
Hope this helps.
-Benjamin
The ________ is another term for the variance of the sample data. mean square between mean square total mean square within total sum of squares
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The term 'mean square within' (MSwithin) refers to the sample variance in a set of data, which is computed by dividing the sum of squares within (SSwithin) by its degrees of freedom. This term is used in ANOVA to estimate how much variation within the sample data is due to chance.
Explanation:The term mean square within (MSwithin) is another term for the variance of the sample data. MSwithin represents the variance within groups.
To calculate this variance, the sum of squares within (SSwithin), which represents the variation within samples that is due to chance, is divided by its respective degrees of freedom.
The variance is a measure of how much the data points in a sample differ from the sample mean.
Variance is calculated by taking the mean of the squared deviations from the mean.
This calculation is often used to determine how spread out the values in a data set are.
In the context of an analysis of variance (ANOVA), the MSwithin is used in conjunction with mean square between (MSbetween), which represents the variance between groups, to calculate the F ratio used for testing the null hypothesis.
a scale drawing of a patio is shown (15 in by 14 in.). the scale is 4 inches : 6.8 feet. what are the length and width of the patio? find the patio's area.
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To get your answer, multiply 1.7 by both 15 and 14 to get your answer, which is 25.5 by 23.8 ft.
Is writing a 3 before a square root symbol the same as writing it after a square root symbol?
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A cube root is equal to a value to the power of (1/3).
I hope this helps
No, writing a 3 before a square root symbol is not the same as writing it after a square root symbol.
Explanation:No, writing a 3 before a square root symbol is not the same as writing it after a square root symbol. Placing a number before the square root symbol indicates that the number is being multiplied by the square root. For example, 3√x means that the square root is being multiplied by 3. On the other hand, placing a number after the square root symbol indicates that the square root is being taken of that number. For example, √3 means the square root of 3.
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The measure of the exterior angle at one base angle of an isosceles triangle is 125 degrees. what is the measure of the vertex angle in degree the measure of the exterior angle at one base angle of an isosceles triangle is 125 degrees. what is the measure of the vertex angle in degrees
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Final answer:
To find the measure of the vertex angle in an isosceles triangle, subtract the measure of one of the exterior angles from 180, divide that sum by 2 to find the measure of each base angle, and then subtract one base angle from 180 to find the measure of the vertex angle. In this case, the measure of the vertex angle is 152.5 degrees.
Explanation:
To find the measure of the vertex angle in an isosceles triangle, we can use the fact that the sum of the measures of the interior angles of a triangle is 180 degrees. Since we know that the measure of one of the exterior angles is 125 degrees, we can subtract that from 180 to find the sum of the measures of the other two interior angles. Then, we can divide that sum by 2 to find the measure of each of the base angles. Finally, we subtract the measure of one base angle from 180 to find the measure of the vertex angle.
Let's follow these steps:
Sum of the measures of the other two interior angles = 180 - 125 = 55 degrees
Measure of each base angle = 55 / 2 = 27.5 degrees
Measure of vertex angle = 180 - 27.5 = 152.5 degrees
Therefore, the measure of the vertex angle in this isosceles triangle is 152.5 degrees.
Which is an equation in point-slope form for the given point and slope? point: (2,- 6) -3/4 openstudy?
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Passes through (2, -6) ; Slope = -3/4
Simply plug everything in :)
y - (-6) = -3/4(x - (-6))
Simplify.
y + 6 = -3/4(x + 6)
~Hope I helped!~
A school puts on a play. The play costs $1,200 in expenses. The students charge $4.00 for tickets. There will be one performance of the play in an auditorium that seats 500 people. What is the domain of the function that shows the profit as a function of the number of tickets sold?
The domain is all real numbers from negative 1,200 to positive 2,000
The domain is all integers from negative 1,200 to positive 2,000.
The domain is the integers from 0 to 500.
The domain is all real numbers from 0 to 500.
Answers
Answer:
The domain is the integers from 0 to 500.
Step-by-step explanation:
It is given in the problem "...function that shows the profit as a function of the number of tickets sold"
Here, the independent variable is the number of tickets
Since the auditorium has 500 seats, we can sell a maximum of 500 tickets and a minimum of 0 tickets. There cannot be fractional person, so the domain of the function is all integers from 0 to 500.
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the length of a rectangle is twice its width. The area of the rectangle is 32 square feet. what are the length and width? which equation models this problem?
A) 32w = 2w + w
B) w - 2w = 32
C) 2w x w = 32
D) 2w+w = 32
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area = 32
So, it is C.
The area of the rectangle is its width times length. The width is w and the length is 2w.
The sales tax for an item was $7.40 and it cost $370 before tax. find the sales tax rate. write your answer as a percentage.
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2.3%
The sales tax rate is 2%.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given that, the cost of the item is $370.
Sales tax of item is $7.40.
Let the sales tax is m%.
To find the sales tax in percentage:
Use percentage formula;
7.40 = m x 370 / 100
m = 7.40 x 100 / 370
m = 740 / 370
m = 2
The sales tax is m = 2%.
Hence, the sales tax rate is 2%.
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What are the slope and the y-intercept of the line T=14N+40
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[tex]\bf T=\stackrel{slope}{14}N\stackrel{y-intercept}{+40}[/tex]
Final answer:
The slope of the line represented by T=14N+40 is 14, and the y-intercept is 40.
Explanation:
The equation T=14N+40 is in the form y=ax+b, where a represents the slope and b represents the y-intercept. In this equation, 14 is the coefficient of N (which takes the role of x in the general form), indicating that the slope of the line is 14. The constant term is 40, indicating that the y-intercept is 40.
Jackie has cheering practice on Thursday and Friday if it doesn't rain. Thursday there is a 20% chance of rain and Friday there is a 40% chance of rain. What percent chance is there that it will rain on both Thursday and Friday?
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Marja bicycled 7 hours a day for 14 days. She traveled 294 miles. What is her unit rate of travel per day?
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21 miles per day
First multiply 7 by 14 to see how many hours she cycled for the whole trip. 98 hours.
294 divided by 98 = 3, which is the miles she cycled for an hour.
You want to know per day, 3 times 7 = 21
Marja's unit rate of travel per day is calculated by dividing the total miles she traveled (294 miles) by the number of days she biked (14 days). The result is 21 miles per day.
Explanation:The question asks for the unit rate of Marja's travel per day. Unit rate refers to the amount of quantity per one unit of another quantity. In this case, we want to find out how many miles Marja bicycles in a single day.
To calculate this, we need to take the total miles she traveled (294 miles) and divide it by the total number of days she biked (14 days). So, 294 miles ÷ 14 days = 21 miles/day.
This means Marja's unit rate of travel per day was 21 miles.
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Can someone please help me with this question?
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A painter is paid 11 dollars per hour and can paint 8 m^2 with a roller in this time. renting a spray gun costs 5 dollars for each hour of use, and the painter can paint 20 m^2 per hour with the spray gun. it takes 1/2 an hour for the painter to clean up after using the roller, but 1 hour using the spray gun. you must pay the painter for her time and you must also pay for renting the spray gun for the total amount of time (including clean up) the spray gun was needed. how much money do you save by using the spray gun on a paint job that involves painting 40 m^2.
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40:8=5 hours for painting 40 m²
5+1/2 =5 1/2 where 1/2 is time needed for clean upthe roller
total cost is
(5 1/2)*11=55+11/2=60.5 dollars
Painter cost when he use spray gun
40:20=2 hours for painting 40 m²
2+1=3 time with the time needed for clean up the spray gun
total cost is
3*11+5*3=33+15=48 dollars
60.5-48=12.5 dollars
You save is 12 dollars 50 cents
$12.5 money do you save by using the spray gun on a paint job that involves painting 40 m²
What is Equation?Two or more expressions with an Equal sign is called as Equation.
A painter is paid per hour: 11 dollars
Paint with a roller in this time: 8 m²
it takes 1/2 an hour for the painter to clean up after using the roller,
Renting a spray gun costs 5 dollars for each hour of use, and the painter can paint 20 m² per hour with the spray gun.
it takes one hour for the painter to clean up after using the Spray.
We have to calculate how much we have to pay the painter for her time and you must also pay for renting the spray gun for the total amount of time (including clean up) the spray gun was needed. and how much the spray gun on a paint job that involves painting 40 m^2.
Roller
40m²/8m²=5 hrs
5hr to paint with roller.
Total time =5+0.5=5.5hrs
Amount paid=5.5×11=$60.5
40m²/20m²=2 hrs
2 hr to paint with roller.
Total time 2+1=3hr
Amount 3×11+5(3)=$33+15=$48
The saving by using the spray gun on a paint job that involves painting 40 m².
60.5-48=$12.5
Hence $12.5 money do you save by using the spray gun on a paint job that involves painting 40 m²
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(6.03) How many variable terms are in the expression 3x3y + 5x2 + y + 9? (Input a numeric value only.)
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Answer:
four is not correct i don't have the answer just don't want you to get it wrong
Step-by-step explanation:
What is the perimeter of a polygon with vertices at (3, 2) , (3, 9) , (7, 12) , (11, 9) , and (11, 2) ?
Enter your answer in the box. Do not round any side lengths.
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Answer: 32 units
I did this lesson. it is correct, I promise
Applying the distance formula, the perimeter of the polygon that has the given vertices is calculated as: 32 units.
Recall:
Perimeter of a polygon is the sum of all its sides.Distance between two vertices having coordinates can be calculated using the distance formula given as: [tex]d = \sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2}[/tex]Assume the vertices of the polygon are named as:
A(3, 2) B(3, 9)C(7, 12)D(11, 9)E(11, 2)Perimeter of the polygon = AB + BC + CD + DE + AE
Find the distance between A(3, 2) and B(3, 9) using the distance formula:[tex]AB = \sqrt{(9 - 2)^2 + (3 - 3)^2}\\\\AB = \sqrt{7^2 + 0^2} \\\\AB = \sqrt{49} \\\\\mathbf{AB = 7}[/tex]
Find the distance between B(3, 9) and C(7, 12) using the distance formula:[tex]BC = \sqrt{(12 - 9)^2 + (7 - 3)^2}\\\\BC = \sqrt{3^2 + 4^2} \\\\BC = \sqrt{25} \\\\\mathbf{BC = 5}[/tex]
Find the distance between C(7, 12) and D(11, 9) using the distance formula:[tex]CD = \sqrt{(9 - 12)^2 + (11 - 7)^2}\\\\CD = \sqrt{-3^2 + 4^2} \\\\CD = \sqrt{25} \\\\\mathbf{CD = 5}[/tex]
Find the distance between D(11, 9) and E(11, 2) using the distance formula:[tex]DE = \sqrt{(2 - 9)^2 + (11 - 11)^2}\\\\DE = \sqrt{-7^2 + 0^2} \\\\DE = \sqrt{49} \\\\\mathbf{DE = 7}[/tex]
Find the distance between A(3, 2) and E(11, 2) using the distance formula:[tex]AE = \sqrt{(2 - 2)^2 + (11 - 3)^2}\\\\AE = \sqrt{0^2 + 8^2} \\\\AE = \sqrt{64} \\\\\mathbf{AE = 8}[/tex]
Perimeter of the polygon = 7 + 5 + 5 + 7 + 8 = 32 units.
In summary, applying the distance formula, the perimeter of the polygon that has the given vertices is calculated as: 32 units.
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The square playground has an area of 829 square feet. a fence must be built around the entire playground. what is the length of one side of the playground? answers
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HELP WILLMARK BRAINLIEST.!!!!
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Your company purchased 23 computers for $29,803.86. How much will it cost to buy 15 more of the same computer?
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so 15 more computers would cost : 1295.82 * 15 = 19437.30 <==
♫ I have a Brainliest♫ Math situation
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The perimeter of the isosceles ABC with the base BC is equal to 40 cm. Perimeter of the equalateral BCD is 45 cm. Find AB and BC
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BC = 15 cm
AB = 12.5 cm
and it's spelled "equilateral" for future reference :)
Sorry, here's the explanation:
So, start with triangle ABC. You know that an isosceles triangle has a base, and two equal sides. This means that once you subtract the side BC from the perimeter, you have the length of the other two equal sides combined meaning that if you divide that by 2, you will have the length of one of the equal sides, AB for example. Moving to the equilateral triangle, BCD. You know that with equilateral triangles, all sides are equal. The perimeter is 45, and because equilateral triangles have 3 equal sides, you divide 45 by 3, getting 15. Here it might help to draw a picture, but BC is one of the sides of your equilateral triangle meaning that BC is equal to 15. Then you move back to ABC. Remember what we said before, that once you subtract BC from ABC you get the sum of the other two equal sides. So, 40 - 15 is 25. Then, because there are two equal sides, you divide 25 by 2, getting 12.5 and that's the length of your other two side, AB and AC.
Okay google how many pennies are in $25,000
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There are $25,00,000 pennies in $25,000.
What is Measurement unit?
A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.
Given that;
The number is,
⇒ $25,000
Now,
Since, 1 dollar = 100 pennies
Hence, 25,000 dollar = 25,000 × 100 pennies
= 25,00,000 pennies
Thus, There are $25,00,000 pennies in $25,000
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The sum of a number and its reciprocal is 13/6. find the number
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[tex]x^{2} - \frac{13}{6}x + 1 = 0[/tex]
[tex]6x^{2} - 13x + 6 = 0[/tex]
[tex]6x^{2} -9x - 4x + 6 = 0[/tex]
[tex]3x(2x - 3) - 2(2x - 3) = 0[/tex]
[tex](3x - 2)(2x - 3) = 0[/tex]
So, the numbers are: 3/2 and 2/3
Jaimi receives a $50.00 gift card to a local café. Her favorite drink at the café costs $3.75. If Jaimi buys her favorite drink every day, which algebraic expression can be used to represent the value on the gift card after d days?
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Jackson has 50 megabytes (MB) of space left on his smartphone. He can download songs that each use 3.5 MB or videos that each use 7 MB. He wants to download at least 10 new media files. Which pair of inequalities specifies the number of song files, x, and the number of video files, y, that Jackson can download?
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x+y≥10.
3.5x+7y≤50
My number is a perfect square.the only prime factorization is 2.my number is a factor of 32.the sum of its difits is odd---what is my number?
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1, 2, 4, 8, 16, 32
From the list, we either have 4 or 16 as our number.
Prime factorisation for 4 is 2 x 2 and prime factorisation for 16 is 2 x 2 x 2 x 2
Thus, that doesn't help our case.
Looking at our requirement: the sum of its digits is odd.
Well, 4 can be rewritten as 0 4 and its sum is even.
The sum for 1 + 6 is obviously odd, which means that 16 is the number.
Which statement is needed to fill in the blank in this syllogism?
If a polygon is a rectangle, then ____________________.
If a polygon has four sides, then it is a quadrilateral.
Therefore, if a polygon is a rectangle, then it is a quadrilateral.
a polygon has four sides
Not enough information.
a polygon is a quadrilateral
a polygon is a rectangle
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What's the sum of 2⁄5 and 2⁄4?
Answers
2/5=8/20
2/4=10/20
sum is 8/20+10/20=18/20 = 9/10
You need to have the same denominator in order to add
The least common multiple of 4 and 5 is 20
[tex] \frac{2}{5} [/tex] multiplied by 4 on the numerator and the denominator
[tex] \frac{2}{4} [/tex] multiplied by 5 on the numerator and the denominator
Giving us:
[tex] \frac{8}{20} [/tex] + [tex] \frac{10}{20} [/tex]
= [tex] \frac{18}{20} [/tex]
It can further be simplified into:
[tex] \frac{9}{10} [/tex]