What is the slope of a line segment with endpoints at (-1, 1) and (1, 5)
Answers
The slope(m) of the line segment whose endpoints are (-1, 1) and (1, 5) is: 2.
Recall:
- Slope (m) = rate of change of y / rate of change of x
- Slope (m) =
- Given the endpoints of a line as:
(-1, 1) and (1, 5)
- Let,
- Plug in the values
Slope (m) =
Slope (m) =
Slope (m) = 2
In summary, the slope(m) of the line segment whose endpoints are (-1, 1) and (1, 5) is: 2.
Learn more here:
Answer:
Slope = 2
Step-by-step explanation:
- (x,y) ->(-1,1)
- (x,y) -> (1,5)
5 - 1 = 4
1 - (-1) = 2
4/2 = 2
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The dimensions of a rectangular flower bed on a sketch are 4 cm by 6 cm. In real life, the shorter side of the flower bed is 5 m. Find the length of the longer side.
Line segment of length k is divided into 3 equal parts. What is distance between midpoints of first and third segments?A) 2k/3 B) k C) k/6 D) 2k
Answers
Call the point of intersection of the diagonals point X.
Each base is the hypotenuse of an isosceles right triangle whose sides are the diagonals and whose 90° angle is at X. The altitude of that triangle (⊥ distance to the base from X) is half the length of the hypotenuse. Then the height of the trapezoid is half the sum of the base lengths.
The area of the trapezoid is the product of the height and half the sum of the base lengths, hence is the square of half the sum of the base lengths.
... Area = ((16 cm +30 cm)/2)² = (23 cm)² = 529 cm²
Final answer:
The area of the given isosceles trapezoid is 345 square cm.
Explanation:
To solve this problem, we need to remember that the area (A) of a trapezoid is given by the formula A = 0.5 * (b1+b2) * h, where b1 and b2 are the lengths of the two bases and h is the height. When the diagonals of an isosceles trapezoid are perpendicular to each other, it can be divided into two right triangles with bases 7 cm and 16 cm (as 30-16=14 and 14/2=7) and height h. From here, we can calculate that the hypotenuse (diagonal) is equal to sqrt(7^2 + 16^2) = 17. Hence, it is a Pythagorean triple, meaning the height is 15 cm. Using the formula for the area of a trapezoid, we can now calculate the area to be 0.5 * (16+30) * 15 = 345 cm^2.
Learn more about Isosceles Trapezoid Area here:
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Answers
Answer: 31 is No 35 is Yes 28 is No 36 is Yes
distance in meters.
A. 418,418 meters
B. 419,000 meters
C. 126,200 meters
D. 260,000 meters
Answers
Answer:
A. 418, 418
Step-by-step explanation:
The formula to convert miles to meters is the following:
1 = 1,609.34
so for every 1 mile, you have 1,609.34 meters
so you take your distance in miles and multiply it by 1,609.34
d= 260 x 1,609.34
d = 418, 428.4
Answers
Answer:
38 units
Step-by-step explanation:
Counting the fully filled as well as more than half filled as 1 unit, but ignoring the less than half field,
Since, there are no half filled,
Area= Number of fully filled+ Number of more than half filled
=38 units
Answers
Force on a moving charge inside magnetic field is given by
F = BVLsinФ
It shows it is out of the screen .
What is Fleming's Right hand rule?
If the forefinger points in the direction of magnetic field, the thumb point in the direction of motion of the conductor, then the middle finger will point in the direction of induced emf .
So as per right hand rule if we put our fingers of right hand along the velocity of charge and then curl it towards the magnetic field direction then thumb will show the direction of force on moving charge.
So,
If we use the same for the given condition then velocity is given out of the plane and magnetic field is downwards then as per right hand rule direction of force on the moving charge will be "Towards Right" .
Hence the direction of charge is out of the screen .
Know more about charges,
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Answer:
Force on a moving charge inside magnetic field is given by
So as per right hand rule if we put our fingers of right hand along the velocity of charge and then curl it towards the magnetic field direction then thumb will show the direction of force on moving charge.
Step-by-step explanation:
If we use the same for the given condition then velocity is given out of the plane and magnetic field is downwards then as per right hand rule direction of force on the moving charge will be "Towards Right"
Answers
Answer:
:)
Step-by-step explanation: