Answer:
The correct option is 1.
Step-by-step explanation:
We need to find a graph that indicates an object whose velocity is zero.
Velocity is the change in displacement with respect to time.
Let d represents displacement and t represent time.
Velocity is 0.
It means the slope of line must be 0.
A horizontal line has slope 0.
In option 1, the graph represents a line whose slope is 0. It means displacement is 0 for any interval of time. So, velocity is 0.
Therefore the correct option is 1.
Answer:
The horizontal line.
Step-by-step explanation:
A horizontal line has a slope of 0. This would be expected on a graph where time is the x axis and distance is the y axis. Time would elapse but the distance would not change.
What is the general form of the equation for the given circle centered at O(0, 0)?
Step-by-step answer:
The general form of an equation centered at O(0,0) is given by
x^2+y^2=r^2
where r is the radius, (x,y) is any point on the circumference.
If B(4,5) lies on the circumference, then we can find the radius of the circle by substitution:
4^2+5^2=r^2
=>
r^2 = 16+26 =41
Hence the equation of a circle centred at O(0,0) and B(4,5) on its circumference is
x^2 + y^2 = 41
Answer:
Option B for plato is the correct answer
Step-by-step explanation:
B. x2 + y2 − 41 = 0
The solution to the equation 4x - 9 = 11 is x = 5.
We will use the appropriate algebraic operations to isolate the variable x in order to solve the equation 4x - 9 = 11 for x.
Here is the detailed answer:
Let's start with the formula: 4x – 9 = 11.
To get rid of the constant term on the left side, add 9 to both sides of the equation:
4x - 9 + 9 = 11 + 9.
When we simplify, we obtain 4x = 20.
To separate x, divide both sides of the equation by 4:
(4x)/4 = 20/4.
To further simplify, we have x = 5.
As a result, x = 5 is the answer to the equation 4x - 9 = 11.
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Applying the definition of quotient and creating an equation, the value of the unknown number is: z = 2.
Quotient is the result you get when two numbers are divided with each other.
Thus:
Unknown number = z
Sum of z and 22 is: z + 22
(z + 22)/z = 12 (quotient)
Solve to find the value of z
z + 22 = 12z
22 = 12z - z
22 = 11z
22/11 = z
z = 2
Therefore, applying the definition of quotient and creating an equation, the value of the unknown number is: z = 2.
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Answer: There are 20 problems on the test.
Step-by-step explanation:
Since we have given that
Patricia scored 80% on a math test.
She missed 4 problems.
So, 20% of the math test is equal to 4 problems.
Let the total number of problems on the test be x
According to question,
Hence, there are 20 problems on the test.