Answer:
1. Slope: [tex]m = \frac{4}{3}[/tex]
2. Distance: [tex]AB = 10[/tex]
3. Midpoint: [tex]M = (5,7)[/tex]
4. Slope of perpendicular line: [tex]m_2 = -\frac{3}{4}[/tex]
Step-by-step explanation:
Given
[tex]A = (2,3)[/tex]
[tex]B = (8,11)[/tex]
Solving (1): Slope of AB
Slope (m) is calculated as follows:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where:
[tex]A = (2,3)[/tex] --- [tex](x_1,y_1)[/tex]
[tex]B = (8,11)[/tex] --- [tex](x_2,y_2)[/tex]
So, we have:
[tex]m = \frac{11 - 3}{8 - 2}[/tex]
[tex]m = \frac{8}{6}[/tex]
[tex]m = \frac{4}{3}[/tex]
Solving (2): Length AB
This is solved by calculating the distance of AB using the following formula.
[tex]AB=\sqrt{(x_1-x_2)^2 + (y_1 - y_2)^2}[/tex]
Where:
[tex]A = (2,3)[/tex] --- [tex](x_1,y_1)[/tex]
[tex]B = (8,11)[/tex] --- [tex](x_2,y_2)[/tex]
So:
[tex]AB = \sqrt{(2-8)^2 + (3 - 11)^2}[/tex]
[tex]AB = \sqrt{(-6)^2 + (-8)^2}[/tex]
[tex]AB = \sqrt{36 + 64}[/tex]
[tex]AB = \sqrt{100}[/tex]
[tex]AB = 10[/tex]
Solving (3): Midpoint of AB.
Midpoint, M is calculated as follows:
[tex]M = \frac{1}{2}(x_1+x_2, y_1 + y_2)[/tex]
Where
[tex]A = (2,3)[/tex] --- [tex](x_1,y_1)[/tex]
[tex]B = (8,11)[/tex] --- [tex](x_2,y_2)[/tex]
So:
[tex]M = \frac{1}{2}(2+8,3+11)[/tex]
[tex]M = \frac{1}{2}(10,14)[/tex]
[tex]M = (5,7)[/tex]
Solving (4): Slope of line perpendicular to AB
The relationship between the slopes of two perpendicular lines is:
[tex]m_2 = -\frac{1}{m_1}[/tex]
Where
[tex]m_1[/tex] represents the slope of AB
[tex]m_1 = \frac{4}{3}[/tex]
So:
[tex]m_2 = -1/\frac{4}{3}[/tex]
[tex]m_2 = -1*\frac{3}{4}[/tex]
[tex]m_2 = -\frac{3}{4}[/tex]
Help plz:))) I’ll mark u brainliest
Help plz:))) I’ll mark u brainliest
Help plz:))) I’ll mark u brainliest
Help plz:))) I’ll mark u brainliest
Help plz:))) I’ll mark u brainliest
Answer:
28, 60, 27 and 17, 24,17
Step-by-step explanation:
The rule for triangle side lengths is that 2 sides gotta add up to be larger than the other. So ones like 40, 22, 14 wouldnt work since 22 and 14 only add up to 36. If u think about it, the lines wouldnt actually connect in real life.
Explain the steps you took to solve parts b and c. Explain why you did the operations you did,and why the answers are positive or negative. Use at least 4 pieces of unit vocabulary correctly and appropriately in your response.
Answer:
What!? If you could elaborate more i could help you!
Need and answer ASAP please helppp
1. Name the line that represents the diameter
2. Name the line that represent the radius
Answer:
Diameter is Line D and Radius is Line R
Step-by-step explanation:
I don't really know how to explain it because I've known this for years now lol.
Please Help. Write an equation of the line that passes through (1,2) and is perpendicular to the line
that passes through y=-3x - 4
Answer:
[tex]y=\frac{1}{3}x+\frac{5}{3}[/tex]
Step-by-step explanation:
Slope of [tex]y=-3x-4[/tex] is the m of the general equation [tex]y=mx+b[/tex] which [tex]-3[/tex] The slope a line perpendicular to this line is the number that if multiplied with -3 will give us -1 so that [tex]\frac{1}{3}[/tex] With that slope and the point [tex](1,2)[/tex] use the formula[tex]y-y_1=m(x-x_1)\\y-(2)=\frac{1}{3} (x-(1))\\y-2=\frac{1}{3}x-\frac{1}{3}\\y=\frac{1}{3}x+\frac{5}{3}[/tex]If your bike wheel has a diameter of 2.5 feet, how many times does the wheel make a full rotation?
Answer:
159 times
Step-by-step explanation:
Answer:
every 2.5 feet
Step-by-step explanation:
the diameter is 2.5feet so to make 1 full rotation you need to move 2.5 feet
help asap plspls !! :)
Answer:
16/9 pounds or 1.667... pounds
Step-by-step explanation:
8/9 + 1/9 = 1
2/3=6/9
1 + 6/9 = 16/9 or 1.667
a turntable has a diameter of 40 cm what is its circumference
Answer:
125.6 cm
Step-by-step explanation:
Diameter (d) = 40 cm
Circumference = πd
= 3.14 * 40
= 125.6 cm
Which statement best describes points P and Q?
Answer:
i need more info
Step-by-step explanation:
The radius of a spherical ball is increasing at a rate of 2 cm/min. At exactly what rate (in cm2/min) is the surface area of the ball increasing when the radius is 9 cm?
Answer:
9th min?
Step-by-step explanation:
lol sorry im set 4 maths
144π cm²/min is the surface area of the ball increasing when the radius is 9 cm.
What is Surface area?The surface area of a solid object is a measure of the total area that the surface of the object occupies.
Given,
Radius of a spherical ball is increasing at a rate of 2 cm/min.
We need to find exactly what rate (in cm2/min) is the surface area of the ball increasing when the radius is 9 cm
S = surface area at time t, and r = radius at time t
r=9cm
dr/dt = 2 cm/min
S = 4πr²
Differentiate with respect to t
ds/dt=2.4πrdr/dt
=8πr(2)
=16πr
=16π(9cm)
=144π cm²/min
Hence 144π cm²/min is the surface area of the ball increasing when the radius is 9 cm.
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Please give me the correct answer.
Answer:
One thing I see here is that we have to open the parenthesis by multiplying 4 by (n+10), so the option that says "Multiply (n + 10) by 4." Not sure how I can show explanation for this question.
Can I still pass the School Year if I failed the 1st and 2nd 9 weeks? Someone please answer
( HIGHSCHOOL)
Answer:
Step-by-step explanation:
yes you can depending on your grades in that class though you might have to redo the semester in your free time if your grade is not high enough
The ratio of two supplementary Angles is 2:7 what is the measure of the smaller angle
1 10
2 14
3 20
4 40
Which of the following transformations would result in two congruent triangles?
A
vertex I should be moved up 5 units
B
vertex x should be moved down 10 units
c
vertex y should be moved left 4 units
D
vertex Z should be moved left 4 units
Help pls!!!
Answer:
B
Step-by-step explanation:
I just did it in illuminate
If 18 g of a radioactive substance are present initially and 9 yr later only 9 g remain, how much of the substance will be present after 12 yr?
After 12 yr there will be g of a radioactive substance.
(Round the final answer to three decimal places as needed. Round all intermediate values to seven decimal places as needed.)
Answer:
Him hhhuuu vividly
Step-by-step explanation:
** SOLVED **
Allison has some pennies and some nickels. She has no more than 23 coins worth a minimum of $0.75 combined. If Allison has 6 pennies, determine all possible values for the number of nickels that she could have. Your answer should be a comma separated list of values. If there are no possible solutions, submit an empty answer.
Answer: {14, 15, 16, 17}
Answer:
15 i think im not completely sure
Step-by-step explanation:
Ms. Andrew currently earns $4,225 per month. She will receive a 17% increase in pay beginning next month. How much can she expect to earn next month, to the nearest cent?
Ms. Andrew can expect to earn $4,942.25 next month, to the nearest cent.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. Moreover, it is indicated by the symbol "%."
To calculate Ms. Andrew's new monthly salary, we need to add 17% of her current salary to her current salary:
New salary = Current salary + 17% of current salary
New salary = $4,225 + 0.17($4,225)
New salary = $4,225 + $717.25
New salary = $4,942.25
Therefore, Ms. Andrew can expect to earn $4,942.25 next month, to the nearest cent.
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Simplify 2x2 - y for x = 3 and y = -2.
Answer:
16
Step-by-step explanation:
2x2-y
2(3)2-2
2(9)-2
18-2
16
What is the playing surface called where the college basketball semi-finals are played?
Answer:
The answer is "floor".
Step-by-step explanation:
The playground on which the semi-finals of basketball was performed is called the Floor. It also has a double-dimensional or three-dimensional ground throughout the form of a square or a rectangle. It may be a Cube, or Cuboid, which would be a Pyramid whenever a surface becomes three-dimensional elevated beyond Earth's level.
Given PQR is congruent to STU, find the value of x
Answer:X=15 Y=4
Step-by-step explanation:
1. PR=US or 3y=12 divide 3y by 3 and cancel 3 out then divide 12 and get Y=4.
2. QR=TU or 2x=30, divide 2x by 2 and cancel out 2, then divide 30 by 2 and get X=15.
3. PQ=ST or 64=4x+y or 64=4(15)+4 and get 64=64
I needs hheeellllppppp
Answer:
It's C.7
Step-by-step explanation:
Use the foil method
Which expressions can be used to represent the sum of 3 consecutive odd integers?
Answer choices:
A. n, n+2, n+4
B. n, n+1, n+2
C. n, n+1, n+3
D. n+1, n+2, n+3
The sum of 3 consecutive odd natural nos. can be represented by n + ( n+2 ) + (n + 4 ).
What are consecutive nos. ?Consecutive nos. are every no. after each other.
According to the given question we have to represent the sum of 3 consecutive odd natural nos.
We know that consecutive odd natural nos. come after every two digits.
∴ Assuming the first odd natural no. to be n.
So, Next odd natural no. will be (n + 2) and the third consecutive odd natural no. will be (n + 2) + 2 which is = (n + 4).
∴ The sum of 3 consecutive natural numbers can be represented by
n + (n + 2) + (n+4).
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HELP NEED ANSWERS TO EDGEMS
LESSON 4.1 GRAPHING USING SLOPE INTERCEPT FORM
HELP HELP ME GET A GOOD GRADE AND ANSWER THESE QUESTIONS FOR ME PLEASE
1. (0, 1) , (2, -9) , (3, -14) , (-6, 31)
2. The amount she pays back each week.
The radius of a sphere is increasing at a rate of 5 mm/s. How fast is the volume increasing when the diameter is 100 mm?
Answer:
157,143 mm/s
Step-by-step explanation:
Formula for the volume of a sphere is;
V = 4/3 * pi * r^3
dv/dr = 4 pi r^2
dv/dt = dv/dr * dr/dt
dr/dt = 5 mm/s
dr/dt = 4 * pi * r^2
r = d/2 = 100/2 = 50 mm
dr/dt = 4 * 22/7 * 50^2 = 220,000/7
dv/dr = 220,000/7 * 5 = 157,142.8571428571
Approximately 157,143 mm/s
Please help me it due today at 7:10pm please help me
Answer:
that is easy false hope u get it to By 7:10
In the diagram above, Z1 = 40°.
Find the measure of Z2.
Z2 = [?]°
Answer:
40 = <2
Step-by-step explanation:
<1 and <2 are corresponding angles and corresponding angles are equal when the lines are parallel
<1 = <2
40 = <2
what is 168 divided by 12 but using estimation
Answer:
14
Step-by-step explanation:
The division of the number 198 by 12 is approximately 17.
A mathematical process known as division can be used to divide a sum of money into equal parts or to calculate how many times one number can be found inside another.
A quotient is produced as a result of dividing a dividend (the number being divided) by a divisor (the number by which the dividend is divided).
To estimate the division of 168 by 12, we can use rounding to simplify the calculation.
Round the numbers to a more manageable value. In this case, we can round 168 to 170 and 12 to 10.
Divide the rounded numbers. 170 divided by 10 is equal to 17.
Therefore, an estimated answer to the division of 168 by 12 is approximately 17.
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a. What is the y-intercept?
b. What is the slope?
c. What is the equation of the line in slope-intercept form?
Answer:
slope is (2/3)x. equation is y=(2/3)x-1
Step-by-step explanation:
Para la clase de Ciencias cada 1 de los estudiantes puso a germinar un grano de frijol
luego de 2 semanas cada 1 midió la altura de su planta en centímetros los resultados
se muestran a continuación
a. Halla la media, Halla la moda, Halla la mediana
b. Responde las siguientes preguntas: cuántas plantas crecieron 10, 11 y 12 cm cuantas plantas crecieron mas de 12 centimetros, cual fue el promedio de
crecimiento de las plantas (para esto saca la media), cual fue el crecimiento que mas
veces se repitió (para esto halla la moda)
Answer:
uhhh
Step-by-step explanation:
When a number is decreased by 10% of itself, the result is 27. What is the number?
Answer:
3090%. 27
--------- -------------
100%. x
cross multiply and then divide by the number withh and x
Step-by-step explanation:
Answer:
3 is ten percent of the number
Step-by-step explanation:
because if 27 is 90% then 30 is 100%
Please help 30 points If do it is also timed so hurry
Answer:
It's the first one.
Step-by-step explanation:
0.6 represents 60%.