Answer:
reflection over the x-axis and a vertical compression by a factor of 8
Step-by-step explanation:
The parent function is given as
The transformed graph has equation:
The factor of 8, indicates a vertical stretch.
The negative sign indicates a reflection in the x-axis.
Therefore the transformation is a reflection over the x-axis and a vertical compression by a factor of 8.
Answer: B
1 Newton with a force going right will remain
In D the object wont move
In A the object wont move
In C the object will move left
Answer:
The first answer is 3, and the second answer is groups of 3 allow 4 rows of 9 students.
Step-by-step explanation:
Not sure I guessed on the question and got it right, just trying to help people out.
Answer:y = -5x + 11
Step-by-step explanation:
First, find the slope (m) of the line that passes through these points:
m = (1-6) / (2-1) = -5/1 = -5
Then use the point slope formula to find the equation of the line:
m = (y-y0)/(x-x0)
-5 = (y-1)/(x-2)
-5(x-2) = y-1
y - 1 = -5x+10
y = -5x + 11
Remark
It's a right triangle so the Pythagorean Theorem applies. All you have to do is put the right things in the right places of the formula.
Givens
a = x
b = x + 4
c = 20
Formula and Substitution.
a^2 + b^2 = c^2
x^2 + (x + 4)^2 = 20^2
Solution
x^2 + x^2 + 8x + 16 = 20 Collect the like terms on the left.
2x^2 + 8x + 16 = 20 Subtract 20 from both sides.
2x^2 + 8x + 16 - 20 = 0
2x^2 + 8x - 4 = 0 Divide through by 2
x^2 + 4x - 2 = 0
Use the quadratic formula
a = 1
b = 4
c = - 2
From which x = (-4 +/- sqrt(24) ) / 2
x1 = (- 4 +/- sqrt(4*6) ) / 2
x1 = (- 4 +/- 2 sqrt(6) ) / 2
x1 = -2 + sqrt(6)
x2 = -2 - sqrt(6) This is an extraneous root. No line can be minus.
x1 = + 0.4495
x2 = x + 4 = 4.4495
