A line segment AB has the coordinates A (2,3) AND B ( 8,11) answer the following questions (1) What is the slope of AB? (2) What is the length of AB? (3) What are the coordinates of the mid point of AB?(4) What is the slope of a line perpendicular to AB ?
Answers
Given:
Endpoints of a line segment AB are A(2,3) and B(8,11).
To find:
(1) Slope of AB.
(2) Length of AB.
(3) Midpoint of AB.
(4) Slope of a line perpendicular to AB.
Solution:
We have, endpoints of line segment AB, A(2,3) and B(8,11).
(1)
Slope of AB is
Therefore, the slope of AB is .
(2)
Length of AB is
Therefore, the length of AB is 10 units.
(3) Midpoint of AB is
Therefore, the midpoint of AB is (5,7).
(4)
Product of slopes of two perpendicular lines is -1.
Let the slope of line perpendicular to AB be m₁.
So, slope of line perpendicular to AB is .
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Answers
Answer:
The absolute value of a number is the distance of the number from zero on the line. The line has always values increasing from left to right. Right side is greater than the left side.
Every absolute value has two numbers on the line like absolute value of 1 has two points, one is 1 and the other is -1. Hence the absolute value of 1.75 also has two numbers on the line one is 1.75 and other is -1.75.
So the point 1.75 can be found on the right side of zero at a distance of 1.75 and in the middle of point 1.5 and 2. Again -1.75 point can be found at the left side of zero at a distance of 1.75 and in the middle of -1.5 and -2.
Note: Refer the image attached. The Red colour marks in the image attached shows the location of both numbers on the number line.
Answer:
-1.75 and 1.75
Step-by-step explanation:
The absolute value is the distance that certain number has from it's position to the number 0.
There are only two numbers that have a distance of 1.75 to the number 0: -1.75 and 1.75.
The location on the graph must be marked on the line that is between -1.5 and -2, and between 1.5 and 2.
Answers
Use one of the equations of motion under constant acceleration:-
s = ut + 0.5at^2 where s = distance, u - initial velocity, a = acceleration ( in this case it is gravity = 9.81 m s^-2) and t = time.
here we have s = 25*2 + 0.5*9.81 * 2^2
= 69.62 meters answer
Answer: The height of the building is 69.6 m
Explanation:
To calculate the height of the building, we use second equation of motion:
where,
s = height of the building = ?
u = initial velocity of the ball = 25 m/s
a = acceleration due to gravity =
t = time taken = 2.0 sec
Putting values in above equation, we get:
Hence, the height of the building is 69.6 m
Drag and drop the labels to the correct positions on the number line.
Answers
Answer:
You have to put A on -6 and b on 6.
Step-by-step explanation:
IN order to solve tis you just have to take one of the markers, lets say A and move it 6 units to the left all the way to -6, then you just have to move the B marker 6 units to the right from 0 all the way to the 6, that is how you get the two numbers that have a distanceof 6 units from 0 on the number line.
Answer:
See attached image.
Step-by-step explanation:
Start at 0 and count to the right. When you get to 6, place EITHER marker on the point. It doesn't look like it matters whether you use A or B.
Start at 0 and count to the left. When you get to 6, place the other marker on the point.
Answers
The tax DeShawn has to pay is $8100
What is Tax?
Taxes are mandatory contributions levied on individuals or corporations by a government entity.
Given that, DeShawn earned $66,000 last year and the first $30,000 is taxed at 9% and income above that is taxed at 15%,
DeShawn will owe 9% tax on the first $30,000, which is $30,000×9% = $2,700.
The remaining $66,000 - $30,000 = $36,000 will be taxed at 15%.
So DeShawn will owe an additional $36,000 * 15% = $5,400 in tax.
In total, DeShawn will owe $2,700 + $5,400 = $8,100 in tax.
Hence, The tax DeShawn has to pay is $8100
For more references on taxes, click;
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Hello,
I hope you and your family are doing well!
DeShawn will owe 9% tax on the first $30,000, which is $30,000 * 9% = $2,700.
The remaining $66,000 - $30,000 = $36,000 will be taxed at 15%.
So DeShawn will owe an additional $36,000 * 15% = $5,400 in tax.
In total, DeShawn will owe $2,700 + $5,400 = 8,100 in tax.
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Happy Holidays!
2y-4x=7 is the equation are parallel show break down
Answers
2y - 4x = 7
2y = 4x + 7
y = (4/2)x + 7/2
y = 2x + 7/2...slope here is 2 and y int is 7/2
When the slopes of the lines are the same, and the y intercepts different...this means they are parallel lines
Answers
Answer: the corrects answer is 31
Step-by-step explanation: