So for each of the graphs, you basically just have to fill out slope form, which is y=my+b. And to make this equation, you need to find each variable.
First, find the slope. To calculate slope, count the rise (how many units up or down) the line goes from any point to the next immediate point, then the run (how many units left or right.) This should leave you with a fraction, rise/run. For example, on number 3, from labeled points (-5, -4) to (5,2) (double check cause it’s hard to see on my phone, but i think those are the points on 1??) it rises 6 units (-4 to 2) and runs 10 units (-5 to 5). This gives you your rise/run fraction, which is 6/10, simplified to 3/5.
So the slope fills out the m part of the equation. For 3, we found that slope is 3/5, and that fits into the m variable of the slope equation.
This makes it y=3/5x+b.
The last (and considerably less confusing) step is to find b. b is the y-intercept, which is just the point in the graph where the line crosses the y-axis and x=0. On 3, this would be (0,-1) or just -1.
So fill -1 into the b slot of the equation, and you get y=3/5x-1. And thats it!!
Let me know if you still need help on any of the other problems, but I hoped this helped to clear it up!! :)
Answer: x= 114/5
Step-by-step explanation:
Opposite angles in between parallel lines are equal. Just solve for x. (5x-3)=117
Answer:
B
Step-by-step explanation:
Trust me
The scale factor is 3 as the lengths in the bigger triangle when divided by 3 gives the lengths in the smaller triangle
Answer:
9. Force is required to change an object velocity.Force is equal to mass times acceleration.
10. Force acting on object are paired with equal and opposite forces
Step-by-step explanation:
9.
Newton's 2nd law states that force is a product of mass and acceleration.In this case, the force of friction is causing deceleration of the ball.This is an example of rolling friction.Acceleration of the ball depends directly on this friction but indirectly on its mass.
10.
From Newton's 3rd Law ,for every action there is an equal and opposite reaction.The astronaut throwing the ball will experience the effect of an external force againts his own which is equal and in the opposite direction to the force she applied.This is why the astronaut moves backward but slower.
