Answer:
Equation in slope-intercept form that goes through (12, 4) and (20,8) is:
Step-by-step explanation:
Given two points are:
Slope intercept form of line is given as:
Here m is the slope of the line and b is the y-intercept.
Slope of a line is calculated by the formula:
Putting the values
Putting the value of slope in slope-intercept form we get
To find the value of b, any one point will be put in the equation
Putting the first point (12,4) in the equation
Putting the value of b
Hence,
Equation in slope-intercept form that goes through (12, 4) and (20,8) is:
68 degrees as well, because the angles are corresponding.
Answer:
You are correct. Remember: rise over run.
m =
A1. 12 i.e option D
A2. 3n-7 i.e option A
A3. -6n+20 i.e option D
A4. -70 i.e option C
Step-by-step explanation:
aₙ = a₁ + (n - 1) × d
aₙ = the nᵗʰ term in the sequence
a₁ = the first term in the sequence
d = the common difference between terms
Using the above formula to solve the first part, we have :
For the second part, we have :
For the third part, we have :
For the fourth part, we have :
Answer:
Rock D.
Step-by-step explanation:
We can assume that the force that the catapult does is always the same.
So, here we need to remember Newton's second law:
F = m*a
force equals mass times acceleration.
Where acceleration is the rate of change of the velocity.
So, if we want the rock to hit closer to the catapult, the rock must be less accelerated than rock B.
So, we can rewrite:
a = F/m
So, as larger is the mass of the rock, smaller will be the acceleration of the rock after it leaves the catapult (because the mass is in the denominator). So if we want to have a smaller acceleration, we need to choose a rock with a larger mass than rock B.
Assuming that the mass depends on the size, the only one that has a mass larger than rock B is rock D.
So we can assume that rock D is the correct option.