Write the equation of the line that has an undefined slope and passes through the point (4, 7). User: What is the slope of a line that is parallel to the x-axis? User: What is the slope of the line that passes through the points (-3, 5) and (1, 7)? User: Which of the following equations is the translation 2 units left of the graph of y = |x|?
Answers
1.
Answer:
Explanation:
as we know that equation of straight line passing through a fixed point and having undefined slope is given as
here we have
so we will have
2.
Answer:
slope = ZERO
Explanation:
Slope of the straight line is defined as the tangent of the angle made by the line with respect to x axis
here we need to find the slope of a straight line parallel to x axis so the angle is ZERO degree
hence the slope will be given as
3.
Answer:
Explanation:
Slope of a straight line passing through two different points is given as
here we will have
4.
Answer:
here x' = any positive number
Explanation:
If we translate the graph 2 units left of the given position so we can say that we have shifted the graph above from its given position.
So we will have
here x' = any positive number
y-
y=m(x-
then we plug in the known values
y=m(x-4)+7
we leave the slope as variable m since it is undefined
For Question 2
A line that is parallel to the x-axis is a horizontal line and since the slope of a line is defined as the Δy/Δx (change in y/change in x) and the change in y is 0 at any 2 points observed on the line the slope is 0. (0/any number is 0)
For Question 3
Following the same relationship as question 2 we can solve for the slope.
Δy/Δx
now we plug in the known values from the two points given
(5-7)/(-3-1)
-2/-4
m=1/2 or 0.5
and For the Final Question
a translation left or right is done by affecting the x variable if you add 2 to x then the x value will have to be 2 less to get the same result...in other words when x is 1 the value of y is also 1...but if I wanted the whole equation translated left 2 unites then I would want the same y-value at an x-value 2 smaller... in other words, in our example x will be -1 when y is 1. For this value found on the graph to match the equation our x value must have 2 added to it in the equation....therefore the equation that translates y=|x| two units left is...
y=|x+2|
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Answers
Answer:
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2. A stationary ball on the ground
3. A sleeping dog
4. A boy running across the street
5. A car traveling on the road
6. A stretched rubber band
7. A basketball being thrown
8. A girl biking at the park
9. A leaf lying on the ground
10. A planet revolving around a star
Answers
1. An apple falling from a tree: Kinetic energy increases as it falls, while potential energy decreases.
2. A stationary ball on the ground: No kinetic energy (it's not moving), but it has potential energy due to its position above the ground.
3. A sleeping dog: The dog has potential energy due to its position above the ground, but it's not in motion, so there's no significant kinetic energy.
4. A boy running across the street: The boy has both kinetic and potential energy. His motion represents kinetic energy, and his position above the ground while running represents potential energy.
5. A car traveling on the road: The car has both kinetic energy (due to its motion) and potential energy (due to its position above the road).
6. A stretched rubber band: The stretched rubber band has potential energy stored in its stretched configuration.
7. A basketball being thrown: The basketball has both kinetic energy (while it's in motion) and potential energy (when it's at the highest point of its trajectory).
8. A girl biking at the park: Similar to the boy running, the girl on the bike has both kinetic and potential energy.
9. A leaf lying on the ground: The leaf has potential energy due to its position above the ground, but it has little to no kinetic energy unless it's moving in the wind.
10. A planet revolving around a star: The planet has both kinetic energy (due to its orbital motion) and potential energy (related to its position within the gravitational field of the star).
In general, potential energy is associated with an object's position or state, while kinetic energy is associated with its motion.
Answers
Answer:
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Let's say the efficiency of the conversion is "η," where η is a value between 0 and 1 (e.g., 0.85 for 85% efficiency). The kinetic energy (KE) the car can have will be:
KE = η * 250 joules
You can calculate the kinetic energy for different efficiency values by substituting η into the formula.
For example, if the efficiency is 85%:
KE = 0.85 * 250 joules = 212.5 joules
So, with an 85% efficiency, the electric car can have approximately 212.5 joules of kinetic energy from the 250 joules of stored chemical energy in the battery. The actual efficiency may vary depending on the specific car and its components.