Indicate the equation of the given line in standard form, writing the answer in the equation box below.
The line containing the longer diagonal of a quadrilateral whose vertices are A(2, 2), B(-2,-2), C(1, -1), and D16, 4).
Answers
9514 1404 393
Answer:
x -3y = 4
Step-by-step explanation:
A plot of the points reveals the longer diagonal to be BD. (Also, point C is on that line.)
We can write the standard form equation of the line through (x1, y1) and (x2, y2) as ...
(y2 -y1)x -(x2 -x1)y = (y2 -y1)x1 -(x2 -x1)y1
For points (-2, -2) and (16, 4), this equation is ...
(4 -(-2))x -(16 -(-2))y = (4 -(-2))(-2) -(16 -(-2))(-2)
6x -18y = -12 +36
Dividing by the greatest common factor (6), we have the standard-form equation ...
x -3y = 4
Related Questions
KoKo Chocolatiers sells their truffes in rectangular boxes. They are going to start ordering circular boxes, too. The rectangular box is made from metal that is 0.3 cm thick. The circular box will be constructed from laminated cardboard that is 0.2 cm thick. The height of the circular box will be the same as the rectangular box. If the volumes of the two boxes are equal, then what is the radius (r) of the circular box?
Answers
Answer:
r = 9.61 cm
Step-by-step explanation:
Volume of a rectangular box = length × width × height
= 21.5 cm × 13.5 cm × 6 cm
= 1,741.5 cm³
Volume of a rectangular box = 1,741.5 cm³
Since,
Volume of a rectangular box = Volume of a circular box
Then,
1,741.5 cm³ = Volume of a circular box
Volume of a circular box = πr²h
1,741.5 cm³ = 3.14 * r² * 6 cm
1,741.5 = 18.84r²
r² = 1,741.5/18.84
r² = 92.436305732484
r = √92.436305732484
r = 9.6143801533163
Approximately,
r = 9.61 cm
Please help I’ll give brainliest
Answers
Jacque needs to buy some pizzas for a party at her office. She's ordering from a restaurant that charges a $7.50, 7, point, 50 delivery fee and $14 per pizza. She wants to buy as many pizzas as she can, and she also needs to keep the delivery fee plus the cost of the pizzas under $60
Whats the Inequality
Answers
Answer:
7.50 + 14x < 60
x < 3.75
Step-by-step explanation:
Let
x = number of pizzas ordered
Delivery fee = $7.50
Cost per pizza = $14
Total cost should be less than $60
The inequality
7.50 + 14x < 60
14x < 60 - 7.50
14x < 52.5
x < 52.5/14
x < 3.75
Help please if you don’t mind Thankyouu!
Answers
Answer:
(3V) / b = h
Step-by-step explanation:
V = (1/3)bh multiply both sides by 3
3V = bh divide both sides by b
(3V) / b = h
Last year, samantha spent $2,478 for natural gas. This year, she decided to use balance billing. What will her monthly payment be this year?
Answers
Answer:
She will need to pay $206.50 per month.
Step-by-step explanation:
Divide the total cost ($2,478) by the number of months (12 mos) to obtain Sam's monthly payment:
$2,478
---------------- = $206.50/month
12 months
She will need to pay $206.50 per month.
What is the value of x in the equation of 7x-8=13
PLEASE HELP MEEE
Answers
Answer:
x = 3
Step-by-step explanation:
7x-8=13
Add 8 to each side
7x-8+8=13+8
7x = 21
Divide each side by 7
7x/7 = 21/7
x = 3
Write 2.073 in expanded form.
Answers
Answer:
2 + 0.0 + 0.07 + 0.003
Step-by-step explanation:
Pretty much just adding the whole number and decimal.
2 (whole number) + 0.073
Expanded forms require showing which place the numbers are in (i.e. 0.07 is the hundredths place)
No Docs/No Files only real answer
5-star rated and I will give a brainliest
Answers
Answer:
question a is technically 7.5 and question b is 7.5
Step-by-step explanation:
half half
Suppose that the regression equation y = 16.99 + 0.32 x1 + 0.41 x2 + 5.31 x3 predicts an adult's height (y) given the individual's mother's height (x1), his or her father's height (x2), and whether the individual is male (x3 = 1) or female (x3 = 0). All heights are measured in inches. In this equation, the coefficient of ______ means that ______. x1; if two individuals have mothers whose heights differ by 0.32 inch, then the individuals' heights will differ by 1 inch. x1; if two individuals have mothers whose heights differ by 0.5 inch, then the individuals' heights will differ by 0.32 inch. x2; if two individuals have fathers whose heights differ by 1 inch, then the individuals' heights will differ by 0.41 inches. x2; if two individuals have mothers whose heights differ by 1 inch, then the individuals' heights will differ by 0.41 inches. x3; a brother is expected to be 5.31 inches taller than his sister
Answers
Answer:
Following are the solution to the given question:
Step-by-step explanation:
Given equation:
[tex]\to y = 16.99 + 0.32 x_1 + 0.41 x_2 + 5.31 x_3[/tex]
Predicts a height [tex](y)[/tex]of adults provided the height of the mother [tex](x_1)[/tex], the height [tex](x_2)[/tex] of a father but if the person is male [tex](x_3 = 1)[/tex] or female [tex](x_3 = 0)[/tex].
The factor[tex]x_1 = 0.32[/tex] is an increase in the kid's length even as the mother increases by one inch.
Likewise, the coefficient [tex]x_2 = 0.42[/tex] was its rise in child length as just a result of the increase of one inch in dad.
The coefficient [tex]x_3 = 5.31[/tex] is an increase of a child's height cos of the male as opposed to that same female.
What is the area? Bit confused on this one.
Answers
Answer:
A = 9x² + 12x
Step-by-step explanation:
The area (A) of the rectangle is calculated as
A = height × width
= 3(3x² + 4x) ← distribute parenthesis by 3
= 9x² + 12x
Answer:
For the blue one:
A1=length*breadth
=3*3x^2
=9x^2
For pink:
A2=length*breadth
=3*4x
=12x
So the total area is:
A=A1+A2
=9x^2+12x
Can someone help me please
Answers
Answer:
yes what would u like help with
Triangle HIJ is similar to triangle KLM. Find the measure of side MK. Round your answer to the nearest tenth.
Answers
Answer:
[tex]MK\approx 87.7[/tex]
Step-by-step explanation:
By definition, similar polygons have corresponding sides in a constant proportion. Therefore, we can set up the following proportion (ratio of corresponding sides) to solve for [tex]MK[/tex]:
[tex]\frac{20}{13}=\frac{MK}{57},\\MK=\frac{57\cdot 20}{13}\approx \boxed{87.7}[/tex]
Answer:
87.7
Step-by-step explanation:
Like stated previously similar triangle have side lengths with common ratios
*Create a proportionality to solve for MK*
57/13 = MK / 20
Now solve for MK
Multiply each side by 20
57/13 * 20 = 87.7 ( rounded )
MK/20 * 20 = MK
We're left with MK = 87.7
son las partes de las que se compone el reporte de la encuesta:
A)lnicio, desarrollo y fin.
B) lntroduccion, desarrollo y conclusiones.
C ) Entrada,cuerpo y cierre
D )Ninguno de los anteriores
Answers
Answer:
Na dimio reso
Ta pidi yo
Era olvida yo contigo
Step-by-step explanation:
there's no explanation
When you find the surface area of a cube, you ________ the length of the cube and
multiply by 6
Answers
Answer:
The word for the blank would be "square".
Step-by-step explanation:
Since the area of a face of a cube would be square its side length, the total surface area of a cube would be that times 6.
Hope this helped!
Answer:
square
Step-by-step explanation:
the area of a cube is found by squaring the length
How much almond milk does James use per teaspoon of cashew butter
Answers
A leading automobile magazine has 60 pages and 4,50,000 copies are printed every month. How many pages in all are printed in the month of April?
Answers
Answer:
See the explanation below
Step-by-step explanation:
Number of months =4
Number of copies =450000
Number of pages =60
Number of copies in 4 months =450000*4
=1800000
Number of pages is
=1800000 *60
=108,000,000
I need help fast please!!!!
Answers
Answer:
f translates right 2 units to get g. sorry about my English
please solve this fast.
Answers
The fraction has not been simplified
(8/27)^(t/3) = [(8/27)^(1/3)]^t = [(8^(1/3)) / (27^(1/3))]^t = (2/3)^t
So each year the number of bacteria is multiplied by 2/3
Plz help ASAP I got 10 mins !!!!!
Answers
Answer:
x=5
Step-by-step explanation:
Since the triangles are similar we can use ratios to solve
4.5 7.5
---- = ------
3 x
Using cross products
4.5x = 3 * 7.5
4.5x = 22.5
Divide each side by 4.5
x = 22.5/4.5
x=5
1850=12
2918=20
5044 = ?
7573=56
Answers
Answer:
1623 jajaggkcgaiahvs Kah kaye kaha
What is the multiplicative rate of change of the
function?
Answers
Answer:
0.25×5=0.125
0.125×0.5=0.0625
0.0625×0.5=0.03125
the multiplicative rate of chage of the function is 0.5
PERFORMANCE TASK : “TRANSVERSAL CITY MAP”
This project will help you to demonstrate your knowledge of parallel lines, transversals and the angles that are created by them. You will be designing a city map using the guidelines listed below. Your map must be drawn on construction paper or poster board. Use a ruler to make your streets straight! Have a title for your map, and make it neat and organized! You will be graded on accuracy, creativity and neatness.
Guidelines:
1) There must be a title for your map.
2) Your city must have three streets that are parallel to each other and one street that intersects all three of the parallel streets. You must name all of these streets.
3) Your city has a hospital that is alternate exterior to the school that is in your city. Draw and name the hospital and the school.
4) The school and the drugstore are at corresponding locations. Draw and name the drugstore.
5) The drugstore and the pet shop are at vertical locations. Draw and name the pet shop.
6) The pet shop and the gas station are at alternate interior locations. Draw and name the gas station.
7) The hospital and the park are at same side exterior locations. Draw and name the park.
8) The gas station and the grocery store are at same side interior locations. Draw and name the grocery store.
9) The grocery store and the nail salon are at vertical locations. Draw and name the salon.
10) The nail salon and bank are at corresponding locations. Draw Target.
11) The bank and a fast food restaurant are at same side interior locations. Draw and name the fast food restaurant.
12) Your city has a mall that is in a corresponding location to the bookstore that is in your city. Draw and name the mall and the bookstore. (If you did all of the others correctly, then the bookstore and the mall only have one place to be located)
Answers
In constructing a transversal city map by applying the knowledge of transversal and parallel lines, a map named California City Map has been drawn as shown in the image attached below.
(See attachment).
Recall:
Parallel lines are straight lines that do not meet each other.Transversal line is a that run through two or more straight lines that are parallel.Special angles are formed when transversal intersects parallel lines, which are: corresponding angles, same-side interior angles, same-side exterior angles, alternate exterior and alternate interior angles, and vertical angles.Using the knowledge of all these, an map named, "California City Map" has been drawn as shown in the image attached below.
The details are as follows:
1. Title for the map is:
California City Map.2. The three streets that are parallel are:
Adams BoulevardBeverly DriveCarroll AvenueThe street (transversal) that intersects the three is:
Darlin Way3. St. Michael Hospital is alternate exterior to Baptist Model School
4. Baptist Model School and Living Well Drug Store are in corresponding locations to each other.
5. Living Well Drug Store and Vik Pet Store are at vertical locations.
6. Vik Pet Store and Elite Gas-station are at alternate interior locations.
7. St. Michael Hospital and Livingstone Park are at same-side exterior locations.
8. Elite Gas-station and Richie Grocery Store are at same-side interior locations.
9. Richie Grocery Store and Beautyjay Nail salon are at vertical locations.
10. Beautyjay Nail salon and Retro Bank Plc are at corresponding locations.
11. Retro Bank Plc and Tessy's Fast Food Restaurant are at same-side interior locations.
12. California City Mall and Remis Bookstore are at corresponding locations.
In summary, in constructing a transversal city map by applying the knowledge of transversal and parallel lines, a map named California City Map has been drawn as shown in the image attached below.
(See attachment).
Learn more here:
https://brainly.com/question/13207832
2. Based on the cash flows shown in the chart below, compute the IRR and MIRR for Project Erie. Suppose that the appropriate cost of capital is 12 percent. Advise the organization about whether it should accept or reject the project.
Project Erie
Time 0 1 2 3 4 5
Cash Flow $12,000 $2,360 $4,390 $1,520 $980 $1,250
Answers
Answer:
IRR = -5.19%
MIRR = 3.33%
The company should reject the project
Step-by-step explanation:
Internal rate of return is the discount rate that equates the after-tax cash flows from an investment to the amount invested
IRR can be calculated with a financial calculator
Cash flow in year 0 = -$12,000
Cash flow in year 1 = $2,360
Cash flow in year 2 = $4,390
Cash flow in year 3 = $1,520
Cash flow in year 4 = $980
Cash flow in year 5 = $1,250
IRR = 5.19%
The modified internal rate of return is a capital budgeting method used to determine the profitability of an investment. The MIRR assumes that cash inflows are reinvested at the firm's cost of capital and outflows are financed at the firm's financing cost.
MIRR = (Future value of a firm's cash inflow / present value of the firm's cash outflow)^ (1/n) - 1
n = number of years
present value of the firm's cash outflow = $12,000
Future value of a firm's cash inflow
Future value of year 1's cash flow = $2,360 x (1.12^4) = $3,713.51
Future value of year 2's cash flow =$4,390 x (1.12^3) = $6167.63
Future value of year 3's cash flow =$1,520 x (1.12^2) = $1906.69
Future value of year 4's cash flow = $980 X 1.12 = 1097.60
Future value of year 5's cash flow = 1250
Add the future values together = $14,135.43
($14,135.43 / $12,000)^0.2 - 1 = 3.33%
The project should be rejected because the IRR is negative.
To find the IRR using a financial calculator:
1. Input the cash flow values by pressing the CF button. After inputting the value, press enter and the arrow facing a downward direction.
2. After inputting all the cash flows, press the IRR button and then press the compute button.
I really need help, please.
Answers
7.
y=118, z=15, because when 2 shapes are similar, the ratios of the sides relative to each other remain the same, and the angles also remain the same. This property can be used to solve the rest of the questions
8.
15*2/3=10
9.
Always
10.
Sometimes
Please answer i will give brainliest
Answers
Answer:
sorry bro......sis
Step-by-step explanation:
don,t know its answer
Degree= radian x 57.3 = 5π/9 x 57.3 = 100.007 degree
I hope that helps and wish you the best !!
whats 3x+34+23y=
frezz
Answers
Answer:
3x+34+23y, You can not add in this equation as there are no like numbers.
Step-by-step explanation:
Answer:
isnt it 60xy
Step-by-step explanation:
solve the equation (log base 3^x)^2_6log base 3^x+9=0
Answers
Step-by-step explanation:
the answer is in the above image
Math help please show work thanks
Answers
Answer:
The curve surface area(CSA) of a cylinder is 2πrh.
Since diameter=1.5 in.
radius=diameter/2
=1.5/2 in.
=0.75 in.
And, the height of the bottle is 5 in.
Now,
CSA=2πrh
=2π*0.75*5 in^2
=15π/2 or 23.56 in^2
The size of the label needed to cover the entire bottle is 15π/2 or 23.56 in^2.
Pls answer……………………..
Answers
Answer:
Step-by-step explanation:
J and k are parallel if
angle 1 = angle 4 (vertically opposite angles)
angle 2 + angle 5 = 180 degree (being co interior angles)
angle 4 = angle 5 (being alternate interior angles)
angle 1 = angle 5 (being corresponding angles)
Answer:
2 and 5 are co - interior angles
1 and 3 are corresponding angles
1 and 4 are alternate
6 and 8 are corresponding angles
Step-by-step explanation:
Find x . Please and thank you
Answers
Answer:
x = 6
Step-by-step explanation:
In similar triangles, corresponding sides are in same ratio
[tex]\frac{x+3}{3}= \frac{6}{2}\\\\ \frac{x+3}{3}=3\\\\x+3 = 3*3\\\\x+3 = 9\\\\x = 9-3\\\\x = 6[/tex]
