Answer:
5y - 6x = 8 or y = 6x/5 + 8/5
Step-by-step explanation:
let M1= gradient of line AB and M2= gradient of the second line
When two lines are perpendicular, the product of their gradients is -1
i.e, M1M2= -1
M2= -1/M1
A(2,9) and B(8,4)
gradient= (y2-y1)/(x2-x1)
M1= (4-9)/(8-2)
= -5/6
M2= -1÷ -5/6
-1 × -6/5= 6/5
Equation of the line passing through C(-3,-2)
[y-(-2)]/[x-(-3)= 6/5
(y+2)/(x+3)= 6/5
5(y+2)= 6(x+3)
5y+10=6x+18
5y= 6x + 8
y= 6x/5 + 8/5
As per the slope-intercept form of a straight line, the equation of the required line is 5y = 6x + 8.
What is the slope-intercept form of a straight line?The slope-intercept form of a straight line is: y = mx + c
Here, m = slope of the line , c = y-intercept
What is the relation between the slope of a line perpendicular to another line?If the slope of a line is 'a', then the slope of the line that is perpendicular to the given line is (- 1/a).
The given coordinates of the points A, B, C are (2, 9); (8, 4); and C(- 3, - 2) respectively.
Therefore, the slope of the line AB is (m)
= (y₂ - y₁)/(x₂ - x₁)
= (4 - 9)/(8 - 2)
= (- 5)/6
Slope of the required line is perpendicular to AB.
Therefore, the slope of the required line is
= - 1/(- 5/6)
= 6/5
This line passes through point C(- 3, - 2).
- 2 = - 3(6/5) + c
⇒ c = -2 + 18/5
⇒ c = 8/5
The equation of the required line is
y = (6/5) x + (8/5)
⇒ 5y = 6x + 8
Learn more about the slope-intercept form of a straight line here: https://brainly.com/question/19465597
#SPJ3
Don’t answer just for points please~ I need help and I’m struggling lol
Answer: 50
Step-by-step explanation:
5x + 55 = 2x + 100
5x = 2x + 45
3x = 45
x = 15
y equals angle 2
180 = 5(15) + 55 + y
180 = 75 + 55 + y
180 = 130 + y
50 = y
angle is 50
We know that:
=> m∠2 + 5x + 55 = 180°=> 5x + 55 = 2x + 100Because of 180° angle formula.
First, let's solve for x. Then we will solve m∠2.
=> 5x + 55 = 2x + 100=> 5x - 2x = 100 - 55=> 3x = 45=> x = 15Since we have found x, it is time to find m∠2.
=> 5(15) + 55 + m∠2 = 180=> 75 + 55 + m∠2 = 180=> 130 + m∠2 = 180=> m∠2 = 180 - 130=> m∠2 = 50Conclusion:Therefore, the measure of m∠2 is 50°
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Let g(x) = root of 4x and f(x) = 3x^3 + 8x^2 , what is the expression of the compound h(x) = g(f(x)) ?
h(x) = g(f(x))
Take f(x) and plug it into g(x).
g(f(x)) = sqrt{4x}
g(f(x)) = sqrt{4(3x^3 + 8x^2)}
g(f(x)) = sqrt{12x^3 + 32x^2}
We are done.
Answer:
h(x) = sqrt{12x^3 + 32x^2}
The composite function as shown is [tex]g(f(x)) =\sqrt{12x^3+32x^2}[/tex]
Composite functions
Given the following fnctions
[tex]f(x) = 3x^3 + 8x^2\\g(x) = \sqrt{4x}[/tex]
The composite function g(f(x)) is expressed as:
[tex]g(f(x)) =g(3x^3 + 8x^2)\\g(f(x) )=\sqrt{4(3x^3 + 8x^2)} \\g(f(x)) =\sqrt{12x^3+32x^2}[/tex]
Hence the composite function as shown is [tex]g(f(x)) =\sqrt{12x^3+32x^2}[/tex]
Learn more on composite function here: https://brainly.com/question/10687170
Please quickly answer number 6 will give brainliest
I need help with my math homework from The Hung Vuong Learning Centre Incorporated, like immediately please!!! Here is an image for you to answer the questions will receive the Brainliest award if you answer the questions completely! Well anyways, good luck on answering the questions and I will check the answers are appropriate! :)
Answer:
Give me some hint please
Answer:
2. d) L = 10, W = 20
3. c) P = 100
Step-by-step explanation:
2. 2L + W = 40
W = 40 - 2L
A = L x W
= L (40 - 2L)
= 2L^2 + 40L
=-2 (L^2 - 20L)
= -2 (L^2 - 20^2 + 100 - 100)
= -2 (L^2 - 20L + 100) +200
= -2 (L - 10)^2 +200
L = 10
W = 40 - 2(10
=20
3. c. P = 2(L + W)
= 2(49 + 1)
= 100
a. P = 53
b. P = 32.5
d. P = 28
Write an equation of the line that passes through (7,10) and is perpendicular to the line y=1/2x−9.
y = -2x + 24
hope this is helpful!
Answer:
y+2x=24
Step-by-step explanation:
the equation of the line: y=1/2x -9
Get the slope by using derivative:
dy/dx= 1/2
dy/dx= slope of the normal line
Since we are looking for slope of the tangent line:
Use Mn=-1/Mt
The slope of the tangent line is -2
Using point slope form:
(y-y1)=m(x-x1) ; where x1=7, y1=10, and m=-2
y-10=-2(x-7)
y-10=-2x+14
ANSWER: y+2x=24
#26: Angles
A triangle has angle measures of 42.5° and 86.7º. What is the measure of the third
angle in the triangle?
Answer:
50.8 degrees is the third angle
HELP PLEASE! Which function had the higher average rate of change between the beginning of January and the middle of March? What does this mean about the temperature in the two cities?
Answer:
Minneapolis
Step-by-step explanation:
tASAP HELP + 50 POINTS
Find the value of x. Show all the work
Answer:
7
Step-by-step explanation:
im pretty sure at least. since x is on a midpoint, it'd half of 14.
See those similar lines
The line.of length x passes through midpoint of the traingles on opposite sides
At this case according to BPT theorem
2x=14x=14/2x=7In a relation y = 2t + 1, what is the value of y if t = 7
Answer:
If t = 7, y = 16
Step-by-step explanation:
y = 2t + 1
y = 2(7) + 1
y = 14 + 1
y = 15
can some pls help me ☹?
Answer:
????????????????
Step-by-step explanation:
??????????????????????????????????
please help me Simplify (4m3)2.
Therefore, the simplified form of (4m3)2 is 24m.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
: Use ratio language to describe the relationship of any two things you can think of. Example: For every 5 minutes of jogging, I ran 500 yards. Be creative and come up with your own idea.
For every 5 minutes of jogging, I ran 500 yards
To Find : Use ratio language to describe the relationship of any two things
Determine the unit rate
Solution:
every 5 minutes of jogging, I ran 500 yards
=> 500/5 = 100 yards/ minute
For every 20 minutes , I can type 1000 words in
unit rate = 1000/20 = 50 words per minute
For every 1 hr (60 minutes) I can solve 10 Questions
unit rate = 10/60 = 1/6 Question per minute
For every 10 minutes , i can read 5 pages
unit rate = 5/10 = 1/2 pages per minute
Learn More:
Selma uses a jogging trail that runs through a park near her home ...
brainly.in/question/21297587
Keith is saving money for a car. He has saved the same amount ...
brainly.in/question/14056417
Determine if triangles with the following side lengths are possible.
A: 5 8 4
B: 3, 6, ,2
C: 7, 5, 4,
Answer:
a is possible
b is not possible
c is possible
The points (-1,-4) and (-2, -8) fall on a particular line. What is its equation in point-slope
form?
Use one of the specified points in your equation. Write your answer using integers, proper
fractions, and improper fractions. Simplify all fractions,
Answer:
y = 4x
Step-by-step explanation:
The point slope form is:
y − y1 = m(x − x1)
We are given (x,y) and (x1,y1), so put those into the equation first:
(-4-(-8)) = m(-1 -(-2))
4 = m*( 1)
m = 4
The equation is y = 4x. It goes through the origin, (0,0), so the y-intercept is 0.
please help anybody hm
Answer:
The answer is 1
Step-by-step explanation:
Math help please
Thanks
A lot
Answer:
2 hours: 3968 [I don't understand the $ sign in the answer box]
At midnight: 12137
Step-by-step explanation:
The bacteria are increasing by 15% every hour. So for every hour we will have what we started with, plus 15% more.
The "15% more" can be represented mathematically with (1 + 0.15) or 1.15. Let's call this the "growth factor" and assign it the variable b. b is (1 + percent increase).
Since this per hour, in 1 hour we'll have (3000)*(1.15) = 3450
At the end of the second hour we're increased by 15% again:
(3450)*(1.15) = 3968.
Each additional hour add another (1.15) factor, If we assign a to be the starting population, this can be represented by:
P = a(1.15)^t for this sample that increase 15% per hour. t is time, in hours.
If a represents the growth factor, and P is the total population, the general expression is
P = ab^t
Using this for a = 3000 and b = 1.15, we can find the total population at midnight after starting at 2PM. That is a 10 hour period, so t = 10
P = (3000)*(1.15)^10
P = 12137
Kasey had to make a down payment of 17% of the selling price of her house. She was approved for a $255,000 mortgage. What range of costs might she expect to pay at the closing?
Answer:
aq lang to Yung d na binalikan Yung iniwan na parang basura
When Zainab started work, her original hourly wage was ‘y’ dollars. Her wage was then doubled, and then increased by $4. If Zainab now gets paid $17 an hour, what was her original hourly wage?
Answer:
$6.5 dollars
Step-by-step explanation:
We can make an equation to find out the original total.
2y+4=17
(subtract 4 from both sides)
2y=13
(divide by 2)
y=6.5
Hope this helped :D
John is 10 years younger than james . In 5 years time James will be twice as old as John 1. How old is John 2. what was their total age 3 years ago
Answer:
John is 5 nowtotal age 3 years ago was 14Step-by-step explanation:
When James is twice as old as John, the difference in their ages will be John's age: 10. That is 5 years from now, so John's age now is 10 -5 = 5.
John is 5 years old.
__
3 years ago, John was 2 and James was 12. Their total age at that time was 14.
How many 4th cups of flour are in 3 3/4 cups
Answer: 12 cups
Step-by-step explanation:
The points (4, 10) and (1,4) fall on a particular line. What is its equation in
slope-intercept form?
Answer:
Slope of the line (m): 2.0
Y-intercept of the line (b): 2.0
Slope Intercept Form (y = mx + b): y = 2x + 2
Step-by-step explanation:
Slope intercept calculator lol
Compare: The graphs below show the number of points you earn in each level of a game. Which games, if any, have a proportional relationship between the number of points you earn and the level of 7the game? In which game can you earn the most points in level 2? Explain your answer.
Answer:
Ok A and C are both proportional because it goes through the origin.
Step-by-step explanation:
If the line doesn't start or go through the origin will not be proportional. So If the line went through or started from the origin will be proportional. Which leaves B as Non-proportional graph.
LaShawn earned $60.00 for working 8 hours this weekend. What is the total amount of money LaShawn would earn for working 34 hours at the same rate of pay
To find this answer we have to do these steps below
1. Find the amount of money that LaShawn earns in an Hour
We have to do 60/8 which is 7.5
LaShawn earns 7.5 dollars in an hour
2. Multiply 7.5 by 35
The answer to that is 262.5 dollars
Therefore the answer is 262.5 dollars
I hope this helped, if it's wrong, blame me
Ps. Brailents would help a LOT
The graph of the function, fx) = -2x + 6x-3, opens blank
and has a blank
value.
The graph of function [tex]f(x) = -2x^2 +6x - 3[/tex] opens down and has a maximum vertex.
The function is given as:
[tex]f(x) = -2x^2 +6x - 3[/tex]
See attachment for the graph of function f(x).
From the attachment, we can see that the graph opens down, and it crosses the x-axis at two distinct points.
Hence, the graph of function [tex]f(x) = -2x^2 +6x - 3[/tex] opens down and has a maximum vertex.
Read more about quadratic functions at:
https://brainly.com/question/11631534
Find the area of a regular hexagon with side length of 2 m. Round your answer to the nearest tenth.
Answer:
12
Step-by-step explanation:
A regular hexagon has 6 equal sides
2 times 6 = 12
Answer:
10.4m²
Step-by-step explanation:
A≈10.39m²
A=33
2a2=3·3
2·22≈10.3923m²
= 10.4m²
Jim is riding his bicycle. He rides for 22.5 kilometers at a speed of 9 kilometers per hour. For how many hours does he ride?
Answer:
It is 2.5 hours.
Step-by-step explanation:
8. Determine the slope of each line,
f(x) = 3x + 6
Answer:
3
Step-by-step explanation:
Pick 2 x values to plug in:
x = 0: 3(0)+6 = 6
x = 2: 3(2)+6 = 12
slope = (y2 - y1) / (x2 - x1)
slope = (12 - 6) / (2 - 0)
slope = 6 / 2
slope = 3
Find the slope of the line below. Enter your answer as a fraction or decimal.
Use a slash mark (/) as the fraction bar if necessary.
5
|(2, -1) 5
(-2,-3)
2
Answer:
The slope is 2/4 or 1/2
Step-by-step explanation:
A planet has a circular orbit around a star. It is a distance of 65,000,000 km from the centre of the star. It orbits at an average speed of 65,000 km/h. How many Earth days does it take the planet to orbit the star? Give your answer to 2 sf.
Answer:
Step-by-step explanation:
Orbit = 2*pi * r
r = 65000000 km
Orbit = 65000000 * 2 * 3.14
Orbit = 406 200 000 km
d = 406 200 000
s = speed = 65000 km / hr
t = time = d / s
t = 406,000,000 / 65000
t = 6280 hours.
1 day = 24 hours.
t = 6280 / 24 = 261.67 days
8. Jordan has $11.40 to spend at the used book store. Each book costs $280. How many books can Jordan buy?
Answer:
0
Step-by-step explanation:
Jordan hasn't got enough money to buy any books, as $11.40<$280.